2nthrt (problem 3.4.6)

Time bar (total: 23.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze563.0ms (2.4%)

Memory
-296.4MiB live, 282.3MiB allocated
Algorithm
1×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)

sample14.4s (61.8%)

Memory
-7.6MiB live, 14 239.5MiB allocated
Samples
10.0s4 899×5exit
1.4s2 763×2valid
859.0ms2 890×1valid
393.0ms2 261×1exit
285.0ms2 603×0valid
168.0ms1 557×0exit
9.0ms4×4exit
4.0ms5×2exit
2.0ms3×3exit
Precisions
Click to see histograms. Total time spent on operations: 12.0s
ival-pow: 9.3s (77.6% of total)
adjust: 1.3s (11% of total)
ival-div: 629.0ms (5.3% of total)
ival-sub: 351.0ms (2.9% of total)
ival-add: 346.0ms (2.9% of total)
ival-true: 16.0ms (0.1% of total)
exact: 12.0ms (0.1% of total)
ival-assert: 8.0ms (0.1% of total)
Bogosity

explain666.0ms (2.9%)

Memory
12.6MiB live, 323.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1050-0-(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
3043(1.5854968569172365e-165 -1.0180551172846042e-89)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)))cancellation1050
pow.f64(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))sensitivity730
Confusion
Predicted +Predicted -
+1170
-6178
Precision
0.6573033707865169
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11700
-61078
Precision?
0.6573033707865169
Recall?
1.0
Freqs
test
numberfreq
078
1178
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
223.0ms164×2valid
133.0ms236×1valid
10.0ms112×0valid
Compiler

Compiled 119 to 36 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 340.0ms
ival-pow: 239.0ms (70.2% of total)
adjust: 81.0ms (23.8% of total)
ival-div: 9.0ms (2.6% of total)
ival-add: 5.0ms (1.5% of total)
ival-sub: 5.0ms (1.5% of total)
ival-true: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess57.0ms (0.2%)

Memory
-12.2MiB live, 26.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02275
14369
29667
319267
435367
550367
661567
767367
871567
972767
1072867
0813
01313
11813
22213
33113
44613
58113
612113
714513
814913
014913
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
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)))
Outputs
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶57.9%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify8.0ms (0%)

Memory
7.6MiB live, 7.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) n)
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
cost-diff0
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
01334
11834
22234
33134
44634
58134
612134
714534
814934
014934
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) n)
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
Outputs
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) n)
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))

localize239.0ms (1%)

Memory
-4.6MiB live, 70.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 1 binary64) n)
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy7.27562339935991
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy24.010082113363474
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Samples
192.0ms118×1valid
34.0ms82×2valid
5.0ms56×0valid
Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-pow: 105.0ms (86.2% of total)
adjust: 7.0ms (5.7% of total)
ival-div: 4.0ms (3.3% of total)
ival-add: 3.0ms (2.5% of total)
ival-sub: 3.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
4 → 43
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))
(/.f64 #s(literal 1 binary64) n)
Outputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 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)))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 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))))
(+ 1 x)
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (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)
(/ (+ (/ (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)
(/ (+ (/ (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)
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (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))) (+ (/ (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)))))
x
(* x (+ 1 (/ 1 x)))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -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))
(* -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))
(* -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))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+ (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)))
(+ (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)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(exp (/ (log (+ 1 x)) n))
(/ 1 n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (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)
(/ (- (+ (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)
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 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))))
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -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))
(* -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))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 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
2.0ms
x
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n))
2.0ms
x
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n))
1.0ms
n
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n))
1.0ms
n
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n))
1.0ms
x
@0
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n))

simplify245.0ms (1.1%)

Memory
-30.2MiB live, 132.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02401354
18061236
230711177
088941077
Stop Event
1×iter limit
1×node limit
Counts
43 → 42
Calls
Call 1
Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 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)))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 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))))
(+ 1 x)
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (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)
(/ (+ (/ (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)
(/ (+ (/ (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)
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (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))) (+ (/ (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)))))
x
(* x (+ 1 (/ 1 x)))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -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))
(* -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))
(* -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))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+ (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)))
(+ (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)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(exp (/ (log (+ 1 x)) n))
(/ 1 n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (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)
(/ (- (+ (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)
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 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))))
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -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))
(* -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))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 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
(- 1 (exp (/ (log x) n)))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
(- (+ 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)))
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1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
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(+ 1 x)
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(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/ (+ (/ (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)
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(/ (+ (/ (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)
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(/ (+ (/ (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)
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(exp (* -1 (/ (log (/ 1 x)) n)))
(exp.f64 (/.f64 (log.f64 x) n))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (exp.f64 (/.f64 (log.f64 x) n)))
(+ (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))))
(+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x) (exp.f64 (/.f64 (log.f64 x) n)))
(+ (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)))))
(+.f64 (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x) (exp.f64 (/.f64 (log.f64 x) n)))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 n x))
(* -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))
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x)
(* -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))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n)) (neg.f64 x)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x)
(* -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))
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(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 n x)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(+ (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)))
(+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(+ (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)))
(+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n)) (neg.f64 x)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (-.f64 (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)) (log.f64 x)) n)
(/ (- (+ (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)
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(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
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(+ 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))))
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(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
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(* -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))
(/.f64 (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.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))) (neg.f64 n))
(* -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))
(/.f64 (-.f64 (log.f64 x) (+.f64 (/.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 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n) (log1p.f64 x))) (neg.f64 n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n) #s(literal 1 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)))
(fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n) #s(literal 1 binary64)))

rewrite234.0ms (1%)

Memory
37.4MiB live, 272.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
01326
16426
244126
3504826
0839722
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 332
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))
(/.f64 #s(literal 1 binary64) n)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) #s(literal 3 binary64)) (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))))) (fma.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) (-.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (-.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))))
(*.f64 (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))))
(*.f64 (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (neg.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (pow.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (/.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (*.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64)))
(*.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) (/.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))))
(*.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) (*.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(pow.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 8 binary64))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 8 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) n))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 9 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 18 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
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(-.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) n))
(fabs.f64 (pow.f64 n #s(literal -1 binary64)))
(+.f64 (cosh.f64 (log.f64 n)) (sinh.f64 (neg.f64 (log.f64 n))))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
(exp.f64 (*.f64 (log.f64 (*.f64 n n)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 n #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 n)))

eval61.0ms (0.3%)

Memory
-15.2MiB live, 142.3MiB allocated
Compiler

Compiled 12 726 to 1 500 computations (88.2% saved)

prune25.0ms (0.1%)

Memory
-7.9MiB live, 69.2MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New42210432
Fresh000
Picked011
Done000
Total42211433
Accuracy
99.8%
Counts
433 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.9%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
62.5%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶22.9%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
32.8%
(-.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)))
▶39.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
29.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (*.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (*.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x))
▶35.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
38.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
▶63.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (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)) (log.f64 x)) n))
56.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
▶57.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
Compiler

Compiled 671 to 402 computations (40.1% saved)

simplify223.0ms (1%)

Memory
8.7MiB live, 292.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x)
cost-diff0
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
cost-diff14080
(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
cost-diff0
(/.f64 (log.f64 x) n)
cost-diff0
(exp.f64 (/.f64 (log.f64 x) n))
cost-diff0
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
cost-diff0
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
cost-diff0
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff704
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n))
cost-diff0
(/.f64 #s(literal 1 binary64) n)
cost-diff0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff0
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff0
(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))
cost-diff0
(-.f64 (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)) (log.f64 x))
cost-diff0
(/.f64 (-.f64 (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)) (log.f64 x)) n)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (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)) (log.f64 x)) n))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042443
074443
1122439
2275439
31071424
44987424
08298420
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (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)) (log.f64 x)) n))
(/.f64 (-.f64 (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)) (log.f64 x)) n)
(-.f64 (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)) (log.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))
#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 (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
(-.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))
x
(/.f64 #s(literal 1 binary64) n)
n
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
x
(/.f64 #s(literal 1 binary64) 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
(*.f64 n x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
x
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (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)) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n))
(/.f64 (-.f64 (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)) (log.f64 x)) n)
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n)
(-.f64 (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)) (log.f64 x))
(-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.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))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x))
#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 (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
(-.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))
x
(/.f64 #s(literal 1 binary64) n)
n
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) (/.f64 x n) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) (/.f64 x n) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
x
(/.f64 #s(literal 1 binary64) 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
(*.f64 n x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(/.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
x
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)

localize262.0ms (1.1%)

Memory
-7.8MiB live, 347.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2421875
(/.f64 (log.f64 x) n)
accuracy2.5046180962718396
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x)
accuracy11.33587420265745
(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
accuracy26.12684399714979
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
accuracy0
(exp.f64 (/.f64 (log.f64 x) n))
accuracy0.2421875
(/.f64 (log.f64 x) n)
accuracy6.727387389680948
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
accuracy26.15083440183177
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
accuracy1.4638986299009111
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
accuracy3.1269982595568973
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n))
accuracy24.010082113363474
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy24.465181958236595
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
accuracy0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy0
(/.f64 #s(literal 1 binary64) n)
accuracy15.652157605326407
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy24.010082113363474
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy0.44369125976844204
(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy19.835980965981683
(-.f64 (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)) (log.f64 x))
accuracy22.317848201647468
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (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)) (log.f64 x)) n))
accuracy25.41346354374191
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
Samples
100.0ms82×2valid
98.0ms129×1valid
12.0ms38×0exit
2.0ms7×0valid
Compiler

Compiled 824 to 82 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 166.0ms
ival-pow: 44.0ms (26.4% of total)
ival-div: 29.0ms (17.4% of total)
adjust: 21.0ms (12.6% of total)
ival-mult: 13.0ms (7.8% of total)
ival-pow2: 13.0ms (7.8% of total)
ival-add: 13.0ms (7.8% of total)
ival-log: 11.0ms (6.6% of total)
ival-log1p: 11.0ms (6.6% of total)
ival-sub: 7.0ms (4.2% of total)
ival-exp: 3.0ms (1.8% of total)
exact: 1.0ms (0.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series228.0ms (1%)

Memory
31.9MiB live, 152.9MiB allocated
Counts
22 → 176
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (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)) (log.f64 x)) n))
(/.f64 (-.f64 (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)) (log.f64 x)) n)
(-.f64 (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)) (log.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 #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))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
Outputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 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)))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(* -1/2 (/ (pow (log x) 2) n))
(+ x (* -1/2 (/ (pow (log x) 2) n)))
(+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))))
(+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2)))))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 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))
(/ 1 n)
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(/ (exp (/ (log x) n)) (* n x))
(/ (log x) n)
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n x))
(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) x)
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n (pow x 2)))
(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) (pow x 2))
(/ (- (* 1/2 (/ 1 n)) 1/2) (* n x))
(* -1 (pow (log x) 2))
(- (pow x 2) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))
(pow (log x) 2)
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (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)
(/ (+ (/ (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)
(/ (+ (/ (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)
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (+ (* -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))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (+ (* -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))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (log (/ 1 x)) (* n x))) (/ 1 x)))
(- (+ (* -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)))
(- (+ (* -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)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (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))) (+ (/ (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)))))
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))
(* -1 (/ (log (/ 1 x)) n))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n)
(+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 n)) 1/2)) (* n x)))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 n)) 1/2)) (* n x))) x)
(* -2 (/ (log (/ 1 x)) x))
(/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x)
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)
(/ (- (+ (* -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)
(pow (log (/ 1 x)) 2)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -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))
(* -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))
(* -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))
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) (* n x)))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) x))) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n)))) 1/4) x)) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) x))) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+ (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)))
(+ (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)))
(/ (* x (- (* 1/2 (/ 1 n)) 1/2)) n)
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 n)) 1/2) n)) (/ 1 (* n x)))))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)
(+ (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n) (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n x)))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n x)))) x))
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x))
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(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2)))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (log (+ 1 x)))) n)
(exp (/ (log (+ 1 x)) n))
(* 1/2 (/ x (pow n 2)))
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))
(* 1/2 (/ (pow x 2) (pow n 2)))
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))
(/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2))
(* 1/2 (/ (exp (/ (log x) n)) (* (pow n 2) x)))
(/ (+ (* 1/2 (/ (exp (/ (log x) n)) x)) (* n (+ (exp (/ (log x) n)) (* -1/2 (/ (exp (/ (log x) n)) x))))) (pow n 2))
(* 1/2 (/ (exp (/ (log x) n)) (* (pow n 2) (pow x 2))))
(/ (+ (* 1/2 (/ (exp (/ (log x) n)) (pow x 2))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (pow x 2))) (/ (exp (/ (log x) n)) x)))) (pow n 2))
(/ 1/2 (* (pow n 2) x))
(/ (+ (* -1/2 (/ n x)) (* 1/2 (/ 1 x))) (pow n 2))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (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)
(/ (- (+ (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)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)
(- (log (+ 1 x)) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(log (+ 1 x))
(+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 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))))
(+ 1 (/ (log x) n))
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(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(/ (+ 1 (* -1/2 x)) n)
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))
(/ 1 (* n x))
(/ (+ (/ 1 x) (/ (log x) (* n x))) n)
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)
(/ (- 1 (* 1/2 (/ 1 x))) n)
(/ (- (+ 1 (+ (* -1/2 (/ (log x) (* n x))) (+ (/ 1/2 (* n x)) (/ (log x) n)))) (* 1/2 (/ 1 x))) n)
(/ (- (+ 1 (+ (* -1/2 (/ (log x) (* n x))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* 1/2 (/ (log x) (* (pow n 2) x))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (/ 1/2 (* n x)) (/ (log x) n))))))) (* 1/2 (/ 1 x))) n)
(/ (- (+ 1 (+ (* -1/2 (/ (log x) (* n x))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* -1/12 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/4 (/ (pow (log x) 2) (* (pow n 3) x))) (+ (* 1/2 (/ (log x) (* (pow n 2) x))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (/ 1/2 (* n x)) (/ (log x) n)))))))))) (* 1/2 (/ 1 x))) n)
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(/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (log x) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x)))))))) (/ 1/2 (pow x 2))) n)
(/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* -1/12 (/ (pow (log x) 3) (* (pow n 3) (pow x 2)))) (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/4 (/ (pow (log x) 2) (* (pow n 3) (pow x 2)))) (+ (* 1/2 (/ (log x) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x))))))))))) (/ 1/2 (pow x 2))) n)
(/ -1/2 (* n x))
(/ (- (* 1/2 (/ 1 (* n x))) (* 1/2 (/ 1 x))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -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))
(* -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))
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
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(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))
(+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n)))
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(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) n))
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n))
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x)))) (* -1/2 (pow (log x) 2))) n)))) n)) (* 1/2 (/ 1 x))) 1) n))
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x)))) (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x)))) (* 1/6 (pow (log x) 3))) n)) (* -1/2 (pow (log x) 2)))) n)))) n)) (* 1/2 (/ 1 x))) 1) n))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x)) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x))) x)) (* 1/6 (/ (pow (log x) 3) x))) n)) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x)))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (* n x)))) n))
Calls

6 calls:

TimeVariablePointExpression
56.0ms
x
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2))
50.0ms
x
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2))
42.0ms
n
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2))
34.0ms
n
@0
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2))
28.0ms
x
@0
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2))

simplify210.0ms (0.9%)

Memory
-20.9MiB live, 130.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08734973
130864614
086004340
Stop Event
1×iter limit
1×node limit
Counts
176 → 176
Calls
Call 1
Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 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)))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(* -1/2 (/ (pow (log x) 2) n))
(+ x (* -1/2 (/ (pow (log x) 2) n)))
(+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))))
(+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2)))))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 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))
(/ 1 n)
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(/ (exp (/ (log x) n)) (* n x))
(/ (log x) n)
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n x))
(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) x)
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n (pow x 2)))
(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) (pow x 2))
(/ (- (* 1/2 (/ 1 n)) 1/2) (* n x))
(* -1 (pow (log x) 2))
(- (pow x 2) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))
(pow (log x) 2)
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(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x)) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x))) x)) (* 1/6 (/ (pow (log x) 3) x))) n)) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x)))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (* n x)))) n))
Outputs
(- 1 (exp (/ (log x) n)))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))
(- (+ 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)))
(-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (log.f64 x)) n)))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (log.f64 x)) n)))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(neg.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) x) (log.f64 x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x))
(* -1/2 (/ (pow (log x) 2) n))
(*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))
(+ x (* -1/2 (/ (pow (log x) 2) n)))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) x)
(+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2)))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(+ 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))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(exp (/ (log x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n))
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/ (log x) n)
(/.f64 (log.f64 x) n)
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n x))
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x))
(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) x)
(/.f64 (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n) x)
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n (pow x 2)))
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n))
(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) (pow x 2))
(/.f64 (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n) (*.f64 x x))
(/ (- (* 1/2 (/ 1 n)) 1/2) (* n x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x)
(* -1 (pow (log x) 2))
(neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(- (pow x 2) (pow (log x) 2))
(-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 11/12 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/ (+ (/ (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)
(/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(/ (+ (/ (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)
(/.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(/ (+ (/ (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)
(/.f64 (+.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64)))) (-.f64 (/.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 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (*.f64 x x))))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)
(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n)) (/.f64 (log.f64 x) (*.f64 n n))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)
(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) n) (fma.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) (*.f64 (*.f64 x x) n)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)))) (/.f64 (log.f64 x) (*.f64 n n))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)
(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 x)) #s(literal 11/12 binary64)) n) (*.f64 (pow.f64 x #s(literal 3 binary64)) n)) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) n) (fma.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) (*.f64 (*.f64 x x) n)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n))))) (/.f64 (log.f64 x) (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 n x)))) x)
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)
(/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x)
(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)
(/ (- (+ 1 (+ (* -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))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x)
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x)
(/ (- (+ 1 (+ (* -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))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 x)) #s(literal 11/12 binary64)) n) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (log (/ 1 x)) (* n x))) (/ 1 x)))
(+.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) (log.f64 x))
(- (+ (* -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)))
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (+ (* -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)))
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) (fma.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x))))) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp.f64 (/.f64 (log.f64 x) n))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (exp.f64 (/.f64 (log.f64 x) n)))
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(/ (- 1 (* 1/2 (/ 1 x))) (* n x))
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(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.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))) (neg.f64 n)) (log.f64 x)) n))
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(fma.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 x x) n) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)) n))
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (neg.f64 n))
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x)) n) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 x) x) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) x) #s(literal -1/6 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) n)) n) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
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(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x)))) (* -1/2 (pow (log x) 2))) n)))) n)) (* 1/2 (/ 1 x))) 1) n))
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (-.f64 (log.f64 x) (fma.f64 (/.f64 (log.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) x))) n)) n)) #s(literal -1 binary64) #s(literal 1 binary64)) n)
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x)))) (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x)))) (* 1/6 (pow (log x) 3))) n)) (* -1/2 (pow (log x) 2)))) n)))) n)) (* 1/2 (/ 1 x))) 1) n))
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(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 (-.f64 (log.f64 x) (fma.f64 (/.f64 (log.f64 x) x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))) x) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) x))) x) (/.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) x))) x) n)) n)) n)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 n))
(* -1 (/ (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (* n x)))) n))
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rewrite244.0ms (1%)

Memory
24.2MiB live, 174.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042345
074345
1347318
23015318
010866314
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 625
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (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)) (log.f64 x)) n))
(/.f64 (-.f64 (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)) (log.f64 x)) n)
(-.f64 (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)) (log.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 #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))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
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(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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) (log1p.f64 x)) (log.f64 x)) n))
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.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)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 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) (log1p.f64 x)) (log.f64 x)) (pow.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 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.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) (log1p.f64 x)) (log.f64 x)) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64)))
(*.f64 (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) (log1p.f64 x)) (log.f64 x))) (pow.f64 (neg.f64 n) #s(literal -1 binary64)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (-.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 (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)) (pow.f64 n #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.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) (log1p.f64 x)) (log.f64 x)) n))
(pow.f64 (/.f64 (/.f64 n (-.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))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 n (-.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))) #s(literal -1 binary64))
(/.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 n)) (*.f64 (neg.f64 n) (*.f64 (log.f64 x) #s(literal -1 binary64)))) (*.f64 n 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))) n) (*.f64 (neg.f64 n) (*.f64 (log.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 n) 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 (neg.f64 n))) (*.f64 (neg.f64 n) (neg.f64 (neg.f64 (log.f64 x))))) (*.f64 (neg.f64 n) (neg.f64 (neg.f64 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 n)) (*.f64 (neg.f64 n) (neg.f64 (log.f64 x)))) (*.f64 n 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 (/.f64 n (log.f64 x)))) (*.f64 (neg.f64 n) #s(literal -1 binary64))) (*.f64 (neg.f64 n) (neg.f64 (/.f64 n (log.f64 x)))))
(/.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 (neg.f64 n) (log.f64 x))) (*.f64 (neg.f64 n) 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))) (/.f64 (/.f64 n (log.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 n) #s(literal 1 binary64))) (*.f64 (neg.f64 n) (/.f64 (/.f64 n (log.f64 x)) #s(literal 1 binary64))))
(/.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))) (/.f64 n (log.f64 x))) (*.f64 (neg.f64 n) #s(literal 1 binary64))) (*.f64 (neg.f64 n) (/.f64 n (log.f64 x))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.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(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (neg.f64 n)) (*.f64 (*.f64 (-.f64 (*.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) #s(literal -1 binary64)))) (*.f64 (*.f64 (-.f64 (*.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 n)))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.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(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n) (*.f64 (*.f64 (-.f64 (*.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) #s(literal 1 binary64)))) (*.f64 (*.f64 (-.f64 (*.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) n))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.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(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (neg.f64 (neg.f64 n))) (*.f64 (*.f64 (-.f64 (*.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 (neg.f64 (log.f64 x))))) (*.f64 (*.f64 (-.f64 (*.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 (neg.f64 n))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.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(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (neg.f64 n)) (*.f64 (*.f64 (-.f64 (*.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 (log.f64 x)))) (*.f64 (*.f64 (-.f64 (*.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 n)))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.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(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 n (log.f64 x)))) (*.f64 (*.f64 (-.f64 (*.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) #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 (*.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 (/.f64 n (log.f64 x)))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.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(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n) (*.f64 (*.f64 (-.f64 (*.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) (log.f64 x))) (*.f64 (*.f64 (-.f64 (*.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) n))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.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(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 (/.f64 n (log.f64 x)) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 (*.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) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 (*.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 (/.f64 n (log.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.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(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n (log.f64 x))) (*.f64 (*.f64 (-.f64 (*.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) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 (*.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 (-.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (neg.f64 n)) (*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (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))))) n) (*.f64 (log.f64 x) #s(literal -1 binary64)))) (*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (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))))) n) (neg.f64 n)))
(/.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n) (*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (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))))) n) (*.f64 (log.f64 x) #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (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))))) n) n))
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(-.f64 (*.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x)) (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 (*.f64 n x) #s(literal -1 binary64))))
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(pow.f64 (/.f64 (*.f64 x (/.f64 n (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 n (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x (/.f64 n (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x) n)
(/.f64 (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1 binary64))) (neg.f64 n))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) n)
(/.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) #s(literal 1 binary64)) x)
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(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 n (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
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(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 n (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) n) x))
(+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) n) x) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) x))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 n x)) (/.f64 #s(literal -1/2 binary64) (*.f64 n x)))
(+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n x)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 n x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 n (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64))
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(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 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)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))))
(fma.f64 (neg.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 (neg.f64 (log.f64 x)) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(fma.f64 (log.f64 x) (neg.f64 (log.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(fma.f64 (log1p.f64 x) (log1p.f64 x) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.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)))
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(+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (log1p.f64 x) (log.f64 x))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (pow.f64 x (log.f64 x))))
(*.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 (neg.f64 (log.f64 x))))
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 x)))
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (log.f64 x))))
(log.f64 (pow.f64 x (log.f64 x)))

eval164.0ms (0.7%)

Memory
17.5MiB live, 210.1MiB allocated
Compiler

Compiled 41 854 to 3 950 computations (90.6% saved)

prune92.0ms (0.4%)

Memory
-22.5MiB live, 137.9MiB allocated
Pruning

34 alts after pruning (32 fresh and 2 done)

PrunedKeptTotal
New88531916
Fresh415
Picked415
Done011
Total89334927
Accuracy
100.0%
Counts
927 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.9%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
10.4%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
22.7%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x) n n) (*.f64 n n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶28.3%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
30.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
15.7%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (*.f64 (/.f64 (*.f64 x x) n) (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
30.4%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
✓39.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
57.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
59.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
58.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.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))) (*.f64 (fma.f64 (log.f64 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) (log1p.f64 x)) (log.f64 x)) (pow.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 2 binary64))) n)))
63.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.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) (log1p.f64 x)) (log.f64 x)) n)))
44.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.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(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n) (*.f64 (*.f64 (-.f64 (*.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) (log.f64 x))) (*.f64 (*.f64 (-.f64 (*.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) n)))
41.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))) (*.f64 (/.f64 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(literal 1 binary64))) (*.f64 (/.f64 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))) (/.f64 n (log.f64 x)))))
56.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
34.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
31.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log.f64 x)) (log.f64 x)) n))
63.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64))) n))
63.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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)) n))
31.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
27.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 x)) #s(literal 11/12 binary64)) n) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))) x)) n))
33.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
38.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) n))
25.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
63.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.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)))))
▶67.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64))))
▶63.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (-.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))))
41.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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))))
38.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))
34.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n))))
40.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n) (*.f64 x x))))
▶27.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
24.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
▶37.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
Compiler

Compiled 3 238 to 1 751 computations (45.9% saved)

simplify140.0ms (0.6%)

Memory
23.2MiB live, 221.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.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))
cost-diff0
(pow.f64 n #s(literal -1 binary64))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (-.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))))
cost-diff6080
(*.f64 (pow.f64 n #s(literal -1 binary64)) (-.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)))
cost-diff0
#s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
cost-diff320
(-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
cost-diff704
(+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x))
cost-diff0
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n))
cost-diff0
(fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))
cost-diff0
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff-5760
(/.f64 #s(literal 1 binary64) n)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
cost-diff0
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
cost-diff0
(/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64))))
cost-diff6080
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64)))
cost-diff6464
(pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072882
0114882
1207874
2504848
32056830
08454826
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
n
(-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.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 2 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))
(/.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)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64))
(+.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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
x
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
x
#s(literal 1 binary64)
(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))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n))
(/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)
(-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n))
(fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(log.f64 x)
x
#s(literal 1/2 binary64)
(*.f64 (*.f64 x x) n)
(*.f64 x x)
n
(/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))
(/.f64 (log.f64 x) n)
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (-.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 (pow.f64 n #s(literal -1 binary64)) (-.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)))
(pow.f64 n #s(literal -1 binary64))
n
#s(literal -1 binary64)
(-.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 (/.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)
#s(literal 1/2 binary64)
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))))
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)))
(pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
(/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 n (-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
n
(-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.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 2 binary64))
(pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 2 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))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 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)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64))
(pow.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64))
(+.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 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) x)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (pow.f64 n #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) n)
(pow.f64 n #s(literal -1 binary64))
#s(literal 1 binary64)
n
x
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x n) (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) x #s(literal 1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x n) (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x n) (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) x #s(literal 1 binary64))
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n))
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x n) (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)
(*.f64 (/.f64 x n) (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x)
(*.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))
(-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
x
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) n)
(pow.f64 n #s(literal -1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (/.f64 (+.f64 (-.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) x) n)) x) n)))
#s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n))
#s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (/.f64 (+.f64 (-.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) x) n)) x) n))
(/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)
(/.f64 (/.f64 (+.f64 (-.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) x) n)) x) n)
(-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 (+.f64 (-.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) x) n)) x)
(+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) x) n)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n))
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) x) n) x)
(fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(log.f64 x)
x
#s(literal 1/2 binary64)
(*.f64 (*.f64 x x) n)
(*.f64 x x)
n
(/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))
(/.f64 (log.f64 x) n)
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (-.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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (-.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 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n)
(pow.f64 n #s(literal -1 binary64))
n
#s(literal -1 binary64)
(-.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 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.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))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 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)
#s(literal 1/2 binary64)

localize394.0ms (1.7%)

Memory
9.0MiB live, 676.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.44369125976844204
(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy19.835980965981683
(-.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))
accuracy22.317848201647468
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (-.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))))
accuracy25.41346354374191
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy5.179687500000001
(+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x))
accuracy8.640606422471853
(-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
accuracy22.21301550146366
#s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n))
accuracy26.12684399714979
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
accuracy1.4638986299009111
(fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))
accuracy22.30654810739643
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n))
accuracy24.010082113363474
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy24.465181958236595
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64)))
accuracy0
(/.f64 #s(literal 1 binary64) n)
accuracy0.18359375
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
accuracy22.39243201742843
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
accuracy26.15083440183177
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
accuracy2.004363875469578
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64)))
accuracy19.7999692415593
(-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy22.317848201647468
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64))))
accuracy25.41346354374191
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
Samples
160.0ms128×1valid
134.0ms82×2valid
19.0ms38×0exit
7.0ms8×0valid
Compiler

Compiled 1 597 to 138 computations (91.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 258.0ms
ival-pow: 64.0ms (24.8% of total)
ival-div: 53.0ms (20.5% of total)
adjust: 36.0ms (13.9% of total)
ival-mult: 28.0ms (10.8% of total)
ival-add: 22.0ms (8.5% of total)
ival-pow2: 15.0ms (5.8% of total)
ival-log1p: 13.0ms (5% of total)
ival-log: 12.0ms (4.6% of total)
ival-sub: 12.0ms (4.6% of total)
ival-exp: 3.0ms (1.2% of total)
exact: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series122.0ms (0.5%)

Memory
-13.9MiB live, 183.1MiB allocated
Counts
23 → 231
Calls
Call 1
Inputs
(pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64))))
(/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1 binary64) n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n))
(+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x))
(-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (-.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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (-.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))))
(pow.f64 n #s(literal -1 binary64))
(-.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 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
Outputs
(/ (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2)) n)
(- (+ (* -1 (/ (* x (pow (log x) 2)) (pow n 2))) (* 1/4 (/ (pow (log x) 4) (pow n 3)))) (/ (pow (log x) 2) n))
(- (+ (* 1/4 (/ (pow (log x) 4) (pow n 3))) (* x (+ (* -1 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* -1 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 n)) 1/2)) (pow n 2))) (/ 1 n)))))) (/ (pow (log x) 2) n))
(- (+ (* 1/4 (/ (pow (log x) 4) (pow n 3))) (* x (+ (* -1 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* -1 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 n)) 1/2)) (pow n 2))) (+ (* x (- (+ (* -1 (/ (* (pow (log x) 2) (- 1/3 (* 1/2 (/ 1 n)))) (pow n 2))) (/ 1 (pow n 2))) (/ 1 n))) (/ 1 n))))))) (/ (pow (log x) 2) n))
(/ (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2)) (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))
(- (+ (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (* 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))))))) (/ (pow (log x) 2) (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n))))))
(- (+ (* 1/4 (/ (pow (log x) 4) (* (pow n 3) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (* x (- (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) (+ (log x) (* -1/2 (/ (pow (log x) 2) n)))))) (+ (* x (- (+ (* -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))))))) (/ (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))))))) (/ (pow (log x) 2) (* n (+ (log x) (* -1/2 (/ (pow (log x) 2) n))))))
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(/ (- (+ (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)
(/ n (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
(* n (+ (* -1 (/ (log (+ 1 x)) (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (/ 1 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))
(* n (- (+ (* -1 (/ (+ 1/4 (* -1 (/ (pow (log (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (pow n 2))) (/ 1 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (/ (log (+ 1 x)) (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))))
(* n (- (+ (* -1 (/ (+ (* -1 (* (log (+ 1 x)) (+ 1/4 (* -1 (/ (pow (log (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))))) (* -1/4 (log (+ 1 x)))) (pow n 3))) (/ 1 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (+ (* -1 (/ (pow (log (+ 1 x)) 2) (* (pow n 2) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (+ (/ 1/4 (pow n 2)) (/ (log (+ 1 x)) (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))))))
(/ (+ (/ 1 x) (/ (log x) (* n x))) n)
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 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))))
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))
(/ (+ 1 (* -1/2 x)) n)
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)
(/ 1 x)
(+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x)))))
(- (/ 1 x) (* 1/2 (/ 1 (pow x 2))))
(- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x))))) (* 1/2 (/ 1 (pow x 2))))
(/ (- 1 (* 1/2 (/ 1 x))) (* n x))
(/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x))))) (/ 1/2 (pow x 2))) n)
(/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (log x) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x)))))))) (/ 1/2 (pow x 2))) n)
(/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* -1/12 (/ (pow (log x) 3) (* (pow n 3) (pow x 2)))) (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/4 (/ (pow (log x) 2) (* (pow n 3) (pow x 2)))) (+ (* 1/2 (/ (log x) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x))))))))))) (/ 1/2 (pow x 2))) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)
(- (log (+ 1 x)) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(- (+ (/ (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (pow (log (+ 1 x)) 2)) (pow (log x) 2))
(- (+ (* 1/4 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (pow n 2))) (+ (/ (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (pow (log (+ 1 x)) 2))) (pow (log x) 2))
(* -1 (/ (+ (* -1 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* -1 (/ (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n))) n))
(* -1 (/ (+ (* -1 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* -1 (/ (+ (* 1/4 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) n)) (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) n))
(* -1 (/ (- (+ (* -1 (/ (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (+ (log x) (log (+ 1 x)))))) (* -1 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (log x) (log (+ 1 x)))))) (* -1/2 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (* n (pow (+ (log x) (log (+ 1 x))) 2))))) n))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* -1 (/ (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (+ (log x) (log (+ 1 x))))) (* -1/2 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (pow (+ (log x) (log (+ 1 x))) 2))))) (* 1/4 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (* n (+ (log x) (log (+ 1 x))))))) (* -1/2 (/ (* (- (* -1 (/ (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (+ (log x) (log (+ 1 x))))) (* -1/2 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (pow (+ (log x) (log (+ 1 x))) 2)))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (+ (log x) (log (+ 1 x))))))) n)) (* -1 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (log x) (log (+ 1 x)))))) n))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (/ (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (+ (log x) (log (+ 1 x))))) (* -1/2 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (pow (+ (log x) (log (+ 1 x))) 2))))) (* -1 (/ (+ (* -1 (- (* 1/4 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (+ (log x) (log (+ 1 x))))) (* -1/2 (/ (* (- (* -1 (/ (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (+ (log x) (log (+ 1 x))))) (* -1/2 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (pow (+ (log x) (log (+ 1 x))) 2)))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (+ (log x) (log (+ 1 x))))))) (* 1/2 (/ (* (- (* 1/4 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (+ (log x) (log (+ 1 x))))) (* -1/2 (/ (* (- (* -1 (/ (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (+ (log x) (log (+ 1 x))))) (* -1/2 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) (pow (+ (log x) (log (+ 1 x))) 2)))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (+ (log x) (log (+ 1 x)))))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (+ (log x) (log (+ 1 x))))))) n))) n)) (* -1 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (+ (log x) (log (+ 1 x)))))) n))
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -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))
(* -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))
(* -1 (* n (- (/ (log (+ 1 x)) (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (/ 1 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))))
(* -1 (* n (- (* -1 (/ (- (* -1 (/ (- 1/4 (/ (pow (log (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (/ (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (/ 1 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))))
(* -1 (* n (- (* -1 (/ (- (* -1 (/ (- (+ 1/4 (+ (* -1 (/ (* (log (+ 1 x)) (- 1/4 (/ (pow (log (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) n)) (* -1/4 (/ (log (+ 1 x)) n)))) (/ (pow (log (+ 1 x)) 2) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (/ (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (/ 1 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))))
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))
(* -1 (/ (- (* 1/2 x) 1) n))
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ 1/2 (* -1/2 (log x))) (pow x 2)))) n)) (/ 1 x))
(- (+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ 1/2 (* -1/2 (log x))) (pow x 2)))) n)) (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x)) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x))) x)) (* 1/6 (/ (pow (log x) 3) x))) n)) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x)))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(- (+ (* -1 (/ (+ (* -1 (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (* -1/4 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) n))) n)) (pow (log (+ 1 x)) 2)) (pow (log x) 2))
Calls

6 calls:

TimeVariablePointExpression
28.0ms
x
@-inf
((pow (/ n (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2))) -1) (* (pow (/ n (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2))) -1) (pow (+ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (* (pow n -1) (- (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2)) (pow (log x) 2))
26.0ms
x
@inf
((pow (/ n (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2))) -1) (* (pow (/ n (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2))) -1) (pow (+ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (* (pow n -1) (- (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2)) (pow (log x) 2))
24.0ms
x
@0
((pow (/ n (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2))) -1) (* (pow (/ n (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2))) -1) (pow (+ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (* (pow n -1) (- (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2)) (pow (log x) 2))
11.0ms
n
@0
((pow (/ n (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2))) -1) (* (pow (/ n (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2))) -1) (pow (+ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (* (pow n -1) (- (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2)) (pow (log x) 2))
10.0ms
n
@-inf
((pow (/ n (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2))) -1) (* (pow (/ n (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2))) -1) (pow (+ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x)) -1)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ n (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (* (pow n -1) (- (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (- (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2)) (pow (log x) 2))

simplify265.0ms (1.1%)

Memory
-12.8MiB live, 247.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165415222
1608113981
0820812892
Stop Event
1×iter limit
1×node limit
Counts
231 → 231
Calls
Call 1
Inputs
(/ (- (* 1/4 (/ (pow (log x) 4) (pow n 2))) (pow (log x) 2)) n)
(- (+ (* -1 (/ (* x (pow (log x) 2)) (pow n 2))) (* 1/4 (/ (pow (log x) 4) (pow n 3)))) (/ (pow (log x) 2) n))
(- (+ (* 1/4 (/ (pow (log x) 4) (pow n 3))) (* x (+ (* -1 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* -1 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 n)) 1/2)) (pow n 2))) (/ 1 n)))))) (/ (pow (log x) 2) n))
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Outputs
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(/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (log.f64 x) x) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) x) #s(literal -1/6 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) n))) n) (/.f64 #s(literal 1 binary64) x))) n)
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.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))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.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)) (log1p.f64 x)) n))
(+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) n))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 x x) n) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)) n))
(* -1 (/ (- (* 1/2 x) 1) n))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) n))
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))
(neg.f64 (/.f64 (fma.f64 (/.f64 x n) #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) n))
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ 1/2 (* -1/2 (log x))) (pow x 2)))) n)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 x x))) n))
(- (+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ 1/2 (* -1/2 (log x))) (pow x 2)))) n)) (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 x x))) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (*.f64 x n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x)) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (log.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) x) n)) (/.f64 #s(literal 1 binary64) x))) n)
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (log.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) x) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) x))) x) n)) n)) (/.f64 #s(literal 1 binary64) x))) n)
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x))) x)) (* 1/6 (/ (pow (log x) 3) x))) n)) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x)))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (log.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) x) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (*.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) x))) x) (/.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) x))) x) n)) n)) n)) (/.f64 #s(literal 1 binary64) x))) n)
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) 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) (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)))) n)
(- (+ (* -1 (/ (+ (* -1 (* (log (+ 1 x)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (* -1/4 (/ (pow (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 2) n))) n)) (pow (log (+ 1 x)) 2)) (pow (log x) 2))
(-.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) n) #s(literal -1/4 binary64) (*.f64 (neg.f64 (log1p.f64 x)) (-.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)))

rewrite220.0ms (0.9%)

Memory
3.9MiB live, 192.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072615
0114657
1545521
25452521
08019513
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 499
Calls
Call 1
Inputs
(pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64))))
(/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1 binary64) n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n))
(+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x))
(-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (-.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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (-.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))))
(pow.f64 n #s(literal -1 binary64))
(-.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 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
Outputs
(*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (-.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))
(*.f64 (-.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 n (-.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 n (-.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 n (-.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 n (-.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1 binary64))
(pow.f64 (/.f64 n (-.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (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)) #s(literal 2 binary64)))
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(fma.f64 (log.f64 x) (neg.f64 (log.f64 x)) (pow.f64 (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)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (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)) #s(literal 4 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (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)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (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)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (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)) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (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)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (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)) (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (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)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (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)) (log.f64 x)) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (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)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (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)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 (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)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 (fabs.f64 (log.f64 x)) (fabs.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 (log.f64 x))) (exp.f64 (log.f64 (log.f64 x))))
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 x))
(pow.f64 (exp.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(fabs.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (log.f64 x))))
(log.f64 (pow.f64 x (log.f64 x)))

eval137.0ms (0.6%)

Memory
26.2MiB live, 251.0MiB allocated
Compiler

Compiled 62 774 to 4 828 computations (92.3% saved)

prune73.0ms (0.3%)

Memory
-27.0MiB live, 103.4MiB allocated
Pruning

38 alts after pruning (35 fresh and 3 done)

PrunedKeptTotal
New78517802
Fresh91827
Picked415
Done022
Total79838836
Accuracy
100.0%
Counts
836 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.9%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
30.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
11.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
30.4%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
✓39.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
57.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
59.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
58.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.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))) (*.f64 (fma.f64 (log.f64 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) (log1p.f64 x)) (log.f64 x)) (pow.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 2 binary64))) n)))
44.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.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(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n) (*.f64 (*.f64 (-.f64 (*.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) (log.f64 x))) (*.f64 (*.f64 (-.f64 (*.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) n)))
41.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))) (*.f64 (/.f64 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(literal 1 binary64))) (*.f64 (/.f64 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))) (/.f64 n (log.f64 x)))))
▶56.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
34.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
31.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log.f64 x)) (log.f64 x)) n))
▶63.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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)) n))
27.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 x)) #s(literal 11/12 binary64)) n) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))) x)) n))
▶33.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
38.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) n))
25.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
63.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.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)))))
17.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) (-.f64 (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)) (log.f64 x)))))
56.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (- (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x)) (-.f64 (log1p.f64 x) (log.f64 x)))))
56.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (pow (/ n (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2))) -1) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64))))
▶38.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))
40.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n) (*.f64 x x))))
28.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 (+.f64 (log.f64 x) n) x)) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
25.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
24.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
25.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 x x))) n)))
28.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n (/.f64 (log.f64 x) x))) n)) n)))
22.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
37.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
✓37.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
14.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (exp.f64 (neg.f64 (log.f64 n))) x)))
▶36.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
37.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))))
13.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 x n)) #s(literal -1 binary64)))))
56.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (pow (/ n (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2))) -1) (pow (+ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x)) -1)) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n))))
34.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (pow n -1) (- (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x))) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 x n)) (/.f64 (log.f64 x) n))))
Compiler

Compiled 3 743 to 2 031 computations (45.7% saved)

simplify131.0ms (0.6%)

Memory
4.8MiB live, 118.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff320
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))
cost-diff320
(-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))
cost-diff384
(+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x))))
cost-diff832
(fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n))
cost-diff0
(log1p.f64 x)
cost-diff0
(-.f64 (log1p.f64 x) (log.f64 x))
cost-diff0
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
cost-diff0
(/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n)
cost-diff0
(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)
cost-diff0
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))
cost-diff-384
(/.f64 #s(literal 1 binary64) (*.f64 x n))
cost-diff0
(*.f64 x n)
cost-diff0
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
cost-diff0
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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))
cost-diff0
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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)) n)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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)) n))
cost-diff12928
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070850
0110850
1203830
2556804
32264773
08481743
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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)) n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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)) n)
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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 (log1p.f64 x) (log.f64 x)) n (*.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) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
(*.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 (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))
#s(literal 1/2 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
#s(literal 1 binary64)
(*.f64 x n)
x
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x))
(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)
(/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
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 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x)) n)
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x)
(-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
#s(literal 1 binary64)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x))
(-.f64 #s(literal 1 binary64) (log.f64 x))
(*.f64 n x)
#s(literal 1/2 binary64)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n))
#s(literal -2/3 binary64)
(/.f64 (neg.f64 (log.f64 x)) n)
(neg.f64 (log.f64 x))
(/.f64 #s(literal -1 binary64) n)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
(*.f64 x x)
(/.f64 #s(literal 1/2 binary64) x)
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) n)) n)) n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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)) n)
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) n)) n)) n)
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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 (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) n)) n))
(/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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 (log1p.f64 x) (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) n)) n)
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) n))
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
(*.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 (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))
#s(literal 1/2 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
#s(literal 1 binary64)
(*.f64 x n)
(*.f64 n x)
x
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x))
(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)
(/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
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 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) #s(literal -1/2 binary64)) n) #s(literal 1/3 binary64)) x)) x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x) #s(literal 1/2 binary64) (log.f64 x)) n)) x)) n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x)) n)
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) #s(literal -1/2 binary64)) n) #s(literal 1/3 binary64)) x)) x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x) #s(literal 1/2 binary64) (log.f64 x)) n)) x)) n)
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) #s(literal -1/2 binary64)) n) #s(literal 1/3 binary64)) x)) x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x) #s(literal 1/2 binary64) (log.f64 x)) n)) x))
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (+.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) #s(literal -1/2 binary64)) n) #s(literal 1/3 binary64)) x)) x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x) #s(literal 1/2 binary64) (log.f64 x)) n)) x)
(-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) #s(literal -1/2 binary64)) n) #s(literal 1/3 binary64)) x)) x) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x) #s(literal 1/2 binary64) (log.f64 x)) n))
(+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x) #s(literal 1/2 binary64) (log.f64 x)) n) (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) #s(literal -1/2 binary64)) n) #s(literal 1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
#s(literal 1 binary64)
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) #s(literal -1/2 binary64)) n) #s(literal 1/3 binary64)) x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x) n)
(-.f64 #s(literal 1 binary64) (log.f64 x))
(*.f64 n x)
#s(literal 1/2 binary64)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x))
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) #s(literal -1/2 binary64)) n) #s(literal 1/3 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64))
(+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (log.f64 x) #s(literal -1/2 binary64)) n) #s(literal 1/3 binary64))
(fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n))
(/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n)
#s(literal -2/3 binary64)
(/.f64 (neg.f64 (log.f64 x)) n)
(neg.f64 (log.f64 x))
(/.f64 #s(literal -1 binary64) n)
#s(literal -1 binary64)
#s(literal 1/3 binary64)
(*.f64 x x)
(/.f64 #s(literal 1/2 binary64) x)

localize355.0ms (1.5%)

Memory
20.7MiB live, 362.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.964891714385542
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x))
accuracy10.304633831585358
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))
accuracy26.31122518187648
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
accuracy34.20148888267758
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x))
accuracy0
(log.f64 x)
accuracy0.265625
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
accuracy25.415747113364386
(-.f64 (log1p.f64 x) (log.f64 x))
accuracy30.838663636384364
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
accuracy0.28515625
(/.f64 (log.f64 x) n)
accuracy2.4809779332094313
(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)
accuracy24.35044928436202
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x))
accuracy26.31122518187648
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))
accuracy0
(*.f64 x n)
accuracy0.9113621570594637
(/.f64 #s(literal 1 binary64) (*.f64 x n))
accuracy26.15083440183177
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
accuracy26.820421184665964
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
accuracy0.5241012695368841
(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy25.415747113364386
(-.f64 (log1p.f64 x) (log.f64 x))
accuracy25.41736979374191
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy26.31122518187648
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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)) n))
Samples
142.0ms129×1valid
134.0ms82×2valid
20.0ms45×0valid
Compiler

Compiled 1 493 to 130 computations (91.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 242.0ms
ival-div: 55.0ms (22.7% of total)
ival-pow: 43.0ms (17.7% of total)
adjust: 31.0ms (12.8% of total)
ival-sub: 26.0ms (10.7% of total)
ival-mult: 21.0ms (8.7% of total)
ival-add: 17.0ms (7% of total)
ival-log: 12.0ms (5% of total)
const: 11.0ms (4.5% of total)
ival-log1p: 11.0ms (4.5% of total)
ival-pow2: 9.0ms (3.7% of total)
ival-exp: 3.0ms (1.2% of total)
ival-neg: 2.0ms (0.8% of total)
exact: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series162.0ms (0.7%)

Memory
31.4MiB live, 269.6MiB allocated
Counts
27 → 186
Calls
Call 1
Inputs
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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)) n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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)) n)
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(*.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x))
(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)
(/.f64 (+.f64 (/.f64 (log.f64 x) n) #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 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
(fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n))
(+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x))))
(-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(/.f64 (log.f64 x) n)
(log.f64 x)
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x))
Outputs
(+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2)))
(+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* n x)))
(+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* x (+ n (* x (+ 1/2 (* -1/2 n)))))))
(+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* x (+ n (* x (+ 1/2 (+ (* -1/2 n) (* x (- (* 1/3 n) 1/2)))))))))
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 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)))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(/ (exp (/ (log x) n)) (* n x))
(* n x)
(/ 1 (* n x))
(/ (+ 1 (/ (log x) n)) (* n x))
(/ (+ 1 (/ (log x) n)) n)
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(* -1 (log x))
(- x (log x))
(- (* x (+ 1 (* -1/2 x))) (log x))
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(- (* 2/3 (/ (log x) n)) (/ 1 n))
(/ (+ 1/3 (* 1/2 (- (* 2/3 (/ (log x) n)) (/ 1 n)))) (pow x 2))
(/ (+ 1/3 (+ (* 1/2 (- (* 2/3 (/ (log x) n)) (/ 1 n))) (* 1/2 (/ (* x (- 1 (log x))) n)))) (pow x 2))
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Calls

6 calls:

TimeVariablePointExpression
42.0ms
x
@-inf
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35.0ms
n
@-inf
((+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (* x n) (/ 1 (* x n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/ (/ (+ (/ (log x) n) 1) n) x) (/ (+ (/ (log x) n) 1) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n)) (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (- (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (/ 1/2 x)) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ (log x) n) (log x) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))
26.0ms
n
@inf
((+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (* x n) (/ 1 (* x n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/ (/ (+ (/ (log x) n) 1) n) x) (/ (+ (/ (log x) n) 1) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n)) (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (- (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (/ 1/2 x)) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ (log x) n) (log x) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))
25.0ms
n
@0
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17.0ms
x
@inf
((+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (* x n) (/ 1 (* x n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/ (/ (+ (/ (log x) n) 1) n) x) (/ (+ (/ (log x) n) 1) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n)) (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (- (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (/ 1/2 x)) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x))) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (/ (log x) n) (log x) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))

simplify478.0ms (2.1%)

Memory
-83.2MiB live, 264.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08954638
132274364
087444091
Stop Event
1×iter limit
1×node limit
Counts
186 → 185
Calls
Call 1
Inputs
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x
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Outputs
(+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2)))
(fma.f64 (neg.f64 n) (log.f64 x) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
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(+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* x (+ n (* x (+ 1/2 (* -1/2 n)))))))
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(+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* x (+ n (* x (+ 1/2 (+ (* -1/2 n) (* x (- (* 1/3 n) 1/2)))))))))
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x
(* x (+ 1 (* -1/2 x)))
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(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (log.f64 x) x) (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) n)) n) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
(* -1 (/ (- (* -1 (/ (log x) n)) 1) n))
(/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n)
(* -1 (/ (+ 1 (* -2/3 (log x))) n))
(/.f64 (fma.f64 #s(literal -2/3 binary64) (log.f64 x) #s(literal 1 binary64)) (neg.f64 n))
(+ 1 (+ (* -1 (/ (+ (* -1 (log x)) (+ (* -1/2 (/ (- 1 (log x)) x)) (* 1/2 (/ (+ 1 (* -2/3 (log x))) (pow x 2))))) n)) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (log.f64 x) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x) #s(literal -1/2 binary64))) (log.f64 x)) n)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(- (+ 1 (+ (* -1 (/ (+ (* -1 (log x)) (+ (* -1/2 (/ (- 1 (log x)) x)) (* 1/2 (/ (+ 1 (* -2/3 (log x))) (pow x 2))))) n)) (* 1/3 (/ 1 (pow x 2))))) (* 1/2 (/ 1 x)))
(-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (log.f64 x) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x) #s(literal -1/2 binary64))) (log.f64 x)) n)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x))
(+ (* -1 (/ (+ (* -1/2 (/ (- 1 (log x)) x)) (* 1/2 (/ (+ 1 (* -2/3 (log x))) (pow x 2)))) n)) (* 1/3 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2/3 binary64) (log.f64 x) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x) #s(literal -1/2 binary64))) n))
(+ (* -1/2 (/ (+ 1 (* -2/3 (log x))) (* n (pow x 2)))) (* 1/3 (/ 1 (pow x 2))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (fma.f64 #s(literal -2/3 binary64) (log.f64 x) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))

rewrite263.0ms (1.1%)

Memory
16.5MiB live, 253.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070620
0110620
1498596
24705596
08187578
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 674
Calls
Call 1
Inputs
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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)) n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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)) n)
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(*.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))
#s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x))
(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)
(/.f64 (+.f64 (/.f64 (log.f64 x) n) #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 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
(fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n))
(+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x))))
(-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(/.f64 (log.f64 x) n)
(log.f64 x)
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)) (pow.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)))) #s(literal 2 binary64))) (pow.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.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))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 3 binary64))) (pow.f64 (fma.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)))) (-.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)))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.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))))) (-.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)) (pow.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)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.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)))) (-.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)))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.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)))) #s(literal 2 binary64)) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64))) (-.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)))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.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)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (neg.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 (neg.f64 (-.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)) (pow.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)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.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)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 3 binary64)))) (neg.f64 (fma.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)))) (-.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)))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)) (pow.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)))) #s(literal 2 binary64))) (fma.f64 n (-.f64 (log1p.f64 x) (log.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))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.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))))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 3 binary64))) (fma.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)))) (-.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)))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.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))))) (-.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)) (pow.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)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.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)))) (-.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)))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 3 binary64)))))
(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 n (-.f64 (log1p.f64 x) (log.f64 x))))
(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 n (-.f64 (log1p.f64 x) (log.f64 x))))
(fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (neg.f64 (neg.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)))
(fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 (*.f64 (neg.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))))
(fma.f64 n (-.f64 (log1p.f64 x) (log.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)))))
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (neg.f64 (neg.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)))
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(*.f64 (pow.f64 (fabs.f64 x) #s(literal -1 binary64)) (pow.f64 (/.f64 (fabs.f64 x) (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)))
(*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64))) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64))))
(pow.f64 (/.f64 x (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/9 binary64)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal -1/3 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/27 binary64)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -6 binary64))) (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal -6 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)))) (*.f64 x x))
(/.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal -1/3 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/6 binary64)))) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (pow.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) x) x)
(/.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1/9 binary64)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal -1/3 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1/27 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/6 binary64)))) (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64))) (*.f64 x x)))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) (fabs.f64 x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) (neg.f64 x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 (fma.f64 #s(literal 2/3 binary64) (log.f64 x) #s(literal -1 binary64)) n) #s(literal 1/2 binary64) #s(literal 1/3 binary64)))) #s(literal -1 binary64)))

eval231.0ms (1%)

Memory
25.0MiB live, 333.4MiB allocated
Compiler

Compiled 82 420 to 7 620 computations (90.8% saved)

prune85.0ms (0.4%)

Memory
-23.2MiB live, 179.0MiB allocated
Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New1 147191 166
Fresh171330
Picked415
Done033
Total1 168361 204
Accuracy
100.0%
Counts
1 204 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.9%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
30.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
11.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓39.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
57.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
59.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
56.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n)))
56.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)))
34.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
31.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log.f64 x)) (log.f64 x)) n))
56.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
43.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 #s(approx (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
38.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) n))
34.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (fma.f64 (neg.f64 n) (log.f64 x) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) n))
56.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) n)) n))
25.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
43.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
37.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
27.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
27.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
25.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
56.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
56.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64))))
56.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 #s(literal -1 binary64) n)))
37.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (*.f64 n x))))
33.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) n) (/.f64 (+.f64 (log.f64 x) n) (*.f64 n n))) x)))
33.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(approx (/ (/ (+ (/ (log x) n) 1) n) x) (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) (*.f64 n n)))))
43.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
32.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
25.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
24.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
25.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 x x))) n)))
22.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
✓37.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
✓36.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
37.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))))
Compiler

Compiled 5 190 to 1 409 computations (72.9% saved)

regimes139.0ms (0.6%)

Memory
-19.4MiB live, 122.6MiB allocated
Counts
78 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 #s(approx (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.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 (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.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 (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(approx (/ (/ (+ (/ (log x) n) 1) n) x) (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) n) (/.f64 (+.f64 (log.f64 x) n) (*.f64 n n))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 x x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (*.f64 (/.f64 (*.f64 x x) n) (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x) n n) (*.f64 n n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 x n)) #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (exp.f64 (neg.f64 (log.f64 n))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log.f64 x)) (log.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 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 #s(literal -1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) n)) n))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 (+.f64 (log.f64 x) n) x)) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n (/.f64 (log.f64 x) x))) n)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (- (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x)) (-.f64 (log1p.f64 x) (log.f64 x)))))
(-.f64 (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))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.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 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (fma.f64 (neg.f64 n) (log.f64 x) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (pow n -1) (- (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x))) (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal -1/2 binary64) (/.f64 x n)) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n) (*.f64 x x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n) (*.f64 x x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (pow (/ n (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2))) -1) (pow (+ (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x)) -1)) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (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)) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.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)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.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)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (-.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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 x)) #s(literal 11/12 binary64)) n) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) x))) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) (-.f64 (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)) (log.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (*.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (*.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (pow (/ n (- (pow (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) 2) (pow (log x) 2))) -1) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))) (*.f64 (/.f64 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(literal 1 binary64))) (*.f64 (/.f64 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))) (/.f64 n (log.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.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) (log1p.f64 x)) (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.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) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.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(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n) (*.f64 (*.f64 (-.f64 (*.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) (log.f64 x))) (*.f64 (*.f64 (-.f64 (*.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) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.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))) (*.f64 (fma.f64 (log.f64 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) (log1p.f64 x)) (log.f64 x)) (pow.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 2 binary64))) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

51.0ms
(/.f64 #s(literal 1 binary64) n)
41.0ms
n
26.0ms
x
16.0ms
(-.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
82.3%3x
86.8%3n
86.4%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
88.1%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes90.0ms (0.4%)

Memory
-6.6MiB live, 68.7MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 #s(approx (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.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 (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.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 (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(approx (/ (/ (+ (/ (log x) n) 1) n) x) (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) n) (/.f64 (+.f64 (log.f64 x) n) (*.f64 n n))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 x x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (*.f64 (/.f64 (*.f64 x x) n) (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x) n n) (*.f64 n n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 x n)) #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (exp.f64 (neg.f64 (log.f64 n))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log.f64 x)) (log.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 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 #s(literal -1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) n)) n))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 (+.f64 (log.f64 x) n) x)) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n (/.f64 (log.f64 x) x))) n)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (- (+ (* (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n) 1/2) (log (+ 1 x))) (log x)) (-.f64 (log1p.f64 x) (log.f64 x)))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

3 calls:

44.0ms
(/.f64 #s(literal 1 binary64) n)
29.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
13.0ms
n
Results
AccuracySegmentsBranch
84.1%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)))
85.8%4n
85.8%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes13.0ms (0.1%)

Memory
22.1MiB live, 22.1MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 #s(approx (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.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 (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.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 (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(approx (/ (/ (+ (/ (log x) n) 1) n) x) (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) n) (/.f64 (+.f64 (log.f64 x) n) (*.f64 n n))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 x x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (*.f64 (/.f64 (*.f64 x x) n) (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x) n n) (*.f64 n n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 x n)) #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (exp.f64 (neg.f64 (log.f64 n))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log.f64 x)) (log.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 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 #s(literal -1 binary64) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

11.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
85.6%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes43.0ms (0.2%)

Memory
2.6MiB live, 49.2MiB allocated
Counts
37 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 #s(approx (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.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 (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.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 (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(approx (/ (/ (+ (/ (log x) n) 1) n) x) (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) n) (/.f64 (+.f64 (log.f64 x) n) (*.f64 n n))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 x x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (*.f64 (/.f64 (*.f64 x x) n) (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x) n n) (*.f64 n n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 x n)) #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (exp.f64 (neg.f64 (log.f64 n))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log.f64 x)) (log.f64 x)) n))
#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 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

3 calls:

22.0ms
(/.f64 #s(literal 1 binary64) n)
10.0ms
n
8.0ms
(-.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
84.1%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)))
70.1%3n
70.1%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes31.0ms (0.1%)

Memory
-4.4MiB live, 32.0MiB allocated
Counts
29 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 #s(approx (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.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 (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.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 (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(approx (/ (/ (+ (/ (log x) n) 1) n) x) (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) n) (/.f64 (+.f64 (log.f64 x) n) (*.f64 n n))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 x x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (*.f64 (/.f64 (*.f64 x x) n) (/.f64 #s(literal 1/2 binary64) 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))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

2 calls:

8.0ms
x
7.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
61.3%2x
81.8%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes10.0ms (0%)

Memory
-19.7MiB live, 17.6MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 #s(approx (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.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 (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.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 (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) #s(approx (/ (/ (+ (/ (log x) n) 1) n) x) (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) n) (/.f64 (+.f64 (log.f64 x) n) (*.f64 n n))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n 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))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

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
80.4%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes6.0ms (0%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 #s(approx (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.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 (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
Outputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

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
80.3%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)

regimes26.0ms (0.1%)

Memory
10.3MiB live, 47.1MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 #s(approx (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.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 (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
Outputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
Calls

4 calls:

9.0ms
(/.f64 #s(literal 1 binary64) n)
6.0ms
n
6.0ms
x
4.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
55.9%3x
57.4%5n
60.0%6(/.f64 #s(literal 1 binary64) n)
52.1%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)

regimes19.0ms (0.1%)

Memory
-11.3MiB live, 38.4MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 #s(approx (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
Calls

3 calls:

9.0ms
x
5.0ms
(/.f64 #s(literal 1 binary64) n)
5.0ms
n
Results
AccuracySegmentsBranch
49.6%4n
47.8%3(/.f64 #s(literal 1 binary64) n)
51.3%2x
Compiler

Compiled 5 to 8 computations (-60% saved)

regimes94.0ms (0.4%)

Memory
-4.4MiB live, 34.1MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 #s(approx (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
Calls

4 calls:

80.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
4.0ms
(/.f64 #s(literal 1 binary64) n)
4.0ms
n
4.0ms
x
Results
AccuracySegmentsBranch
43.6%1(/.f64 #s(literal 1 binary64) n)
43.6%1n
43.6%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
43.6%1x
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes41.0ms (0.2%)

Memory
-15.9MiB live, 22.9MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 #s(approx (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 #s(approx (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
Calls

4 calls:

31.0ms
n
3.0ms
(/.f64 #s(literal 1 binary64) n)
3.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
43.5%1n
43.5%1(/.f64 #s(literal 1 binary64) n)
43.5%1x
43.5%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes12.0ms (0.1%)

Memory
25.9MiB live, 25.9MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
Calls

4 calls:

3.0ms
(/.f64 #s(literal 1 binary64) n)
3.0ms
n
3.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
43.5%1(/.f64 #s(literal 1 binary64) n)
43.5%1n
43.5%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
43.5%1x
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes13.0ms (0.1%)

Memory
-8.7MiB live, 27.7MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
Calls

4 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)))
3.0ms
(/.f64 #s(literal 1 binary64) n)
3.0ms
x
3.0ms
n
Results
AccuracySegmentsBranch
37.5%1(/.f64 #s(literal 1 binary64) n)
37.5%1n
37.5%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
37.5%1x
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes5.0ms (0%)

Memory
14.0MiB live, 14.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(/.f64 #s(literal 1 binary64) n)
1.0ms
n
1.0ms
x
1.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
36.6%1x
36.6%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
36.6%1(/.f64 #s(literal 1 binary64) n)
36.6%1n
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.9199168214168e-21
0.003275969597540915
0.0ms
-8.553236860664784e-8
-4.167786157617322e-15
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.003275969597540915
2454.0861047094336
0.0ms
-8.553236860664784e-8
-4.167786157617322e-15
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.003275969597540915
2454.0861047094336
0.0ms
-8.553236860664784e-8
-4.167786157617322e-15
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0
0.0ms
-inf
-2.6056934387952424e-12
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch5.0ms (0%)

Memory
-41.0MiB live, 1.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0
0.0ms
-inf
-2.6056934387952424e-12
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0
0.0ms
-inf
-2.6056934387952424e-12
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0
0.0ms
-inf
-2.6056934387952424e-12
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch68.0ms (0.3%)

Memory
22.5MiB live, 94.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
31.0ms
7.803481011272612e-22
1.2269182353603043e-19
34.0ms
7.199324565572046e-199
1.0639170397417695e-196
Samples
24.0ms96×1valid
24.0ms46×2valid
8.0ms82×0valid
Compiler

Compiled 800 to 545 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-pow: 29.0ms (60.4% of total)
ival-div: 7.0ms (14.6% of total)
ival-add: 5.0ms (10.4% of total)
adjust: 4.0ms (8.3% of total)
ival-sub: 2.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
7.803481011272612e-22
1.2269182353603043e-19
Compiler

Compiled 506 to 335 computations (33.8% saved)

simplify93.0ms (0.4%)

Memory
-14.4MiB live, 67.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01681046
12061046
22581044
33351044
45261044
57501044
69501044
711461044
813801044
916661044
1018911044
1119661044
1219721044
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -944473296573929/18889465931478580854784 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6646139978924579/1329227995784915872903807060280344576 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -944473296573929/18889465931478580854784 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -944473296573929/18889465931478580854784 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.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))) #s(literal -inf.0 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.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))) #s(literal 0 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 #s(approx (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
Outputs
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(if (<=.f64 x #s(literal 2558530102513129/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 4984604984193435/41538374868278621028243970633760768 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal -1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))))
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(if (<=.f64 x #s(literal 4984604984193435/41538374868278621028243970633760768 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal -1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x n))) x)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 #s(approx (+ (+ (/ (log x) n) 1) (+ (* (/ (- 1 (log x)) (* n x)) 1/2) (/ (+ (* 1/2 (+ (* -2/3 (/ (neg (log x)) n)) (/ -1 n))) 1/3) (* x x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))

soundness1.5s (6.3%)

Memory
8.2MiB live, 1 080.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072615
0114657
1545521
25452521
08019513
042345
074345
1347318
23015318
010866314
08734973
130864614
086004340
070620
0110620
1498596
24705596
08187578
0826
01326
16426
244126
3504826
0839722
02401354
18061236
230711177
088941077
08954638
132274364
087444091
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 1 495 to 521 computations (65.2% saved)

preprocess122.0ms (0.5%)

Memory
0.7MiB live, 250.5MiB allocated
Compiler

Compiled 2 114 to 358 computations (83.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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