2nthrt (problem 3.4.6)

Time bar (total: 23.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze300.0ms (1.3%)

Memory
-12.6MiB live, 310.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.5%62.4%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
45.2%43.7%53.1%0.1%0%3.1%0%7
45.2%43.7%53.1%0.1%0%3.1%0%8
50.8%46.8%45.3%0.1%0%7.8%0%9
50.8%46.8%45.3%0.1%0%7.8%0%10
53.9%48.4%41.4%0.1%0%10.1%0%11
53.9%48.4%41.4%0.1%0%10.1%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample15.9s (67.1%)

Memory
82.6MiB live, 13 679.3MiB allocated
Samples
10.7s4 930×5exit
1.6s2 840×2valid
836.0ms2 819×1valid
648.0ms2 359×1exit
378.0ms1 651×0exit
345.0ms2 597×0valid
5.0ms3exit
4.0ms2exit
3.0ms4exit
Precisions
Click to see histograms. Total time spent on operations: 13.0s
ival-pow: 10.2s (78% of total)
adjust: 1.4s (10.9% of total)
ival-div: 619.0ms (4.7% of total)
ival-add: 479.0ms (3.7% of total)
ival-sub: 301.0ms (2.3% of total)
ival-true: 17.0ms (0.1% of total)
exact: 13.0ms (0.1% of total)
ival-assert: 8.0ms (0.1% of total)
Bogosity

explain409.0ms (1.7%)

Memory
-4.6MiB live, 190.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1121(3.071794131148514e+138 9.5269695233081e+184)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)))
2635(6.29388505977921e-164 8.246851229623912e-26)1(8.002824363979144e+280 -11.469823166311842)(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
10-1(8.002824363979144e+280 -11.469823166311842)(pow.f64 x (/.f64 #s(literal 1 binary64) n))
00-0-(+.f64 x #s(literal 1 binary64))
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)))cancellation1130
pow.f64(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))sensitivity601
Confusion
Predicted +Predicted -
+1250
-4883
Precision
0.7225433526011561
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12500
-48182
Precision?
0.7183908045977011
Recall?
1.0
Freqs
test
numberfreq
083
1173
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
104.0ms210×2valid
75.0ms212×1valid
8.0ms90×0valid
Compiler

Compiled 119 to 36 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-pow: 104.0ms (72.9% of total)
adjust: 16.0ms (11.2% of total)
ival-div: 10.0ms (7% of total)
ival-add: 6.0ms (4.2% of total)
ival-sub: 6.0ms (4.2% of total)
ival-true: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess27.0ms (0.1%)

Memory
-1.3MiB live, 36.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02275
14369
29367
316067
425167
537067
644967
749367
854067
955667
1056467
0813
01313
11813
22213
32813
43613
55113
68313
711213
816113
917713
1018513
018513
Stop Event
iter limit
saturated
iter limit
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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(-.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 13 to 8 computations (38.5% saved)

simplify6.0ms (0%)

Memory
14.8MiB live, 14.8MiB allocated
Algorithm
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
32834
43634
55134
68334
711234
816134
917734
1018534
018534
Stop Event
iter limit
saturated
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))

localize119.0ms (0.5%)

Memory
13.9MiB live, 138.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.03479254138909578
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy5.698468937401231
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy25.73203251017125
(-.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
55.0ms106×1valid
51.0ms105×2valid
4.0ms45×0valid
Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-pow: 77.0ms (80.3% of total)
adjust: 8.0ms (8.3% of total)
ival-div: 5.0ms (5.2% of total)
ival-add: 3.0ms (3.1% of total)
ival-sub: 3.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series69.0ms (0.3%)

Memory
-14.5MiB live, 107.7MiB allocated
Counts
5 → 49
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) n)
(pow.f64 x (/.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 (/ (log x) n))
(/ (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 (/ (log x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log 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)))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
Calls

6 calls:

TimeVariablePointExpression
34.0ms
x
@0
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
23.0ms
x
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
8.0ms
x
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
1.0ms
n
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
1.0ms
n
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))

simplify180.0ms (0.8%)

Memory
13.8MiB live, 204.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02631455
17611349
221611275
376301269
089151165
Stop Event
iter limit
node limit
Counts
49 → 48
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 (/ (log x) n))
(/ (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 (/ (log x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log 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)))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
Outputs
(- 1 (exp (/ (log x) n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(-.f64 (/.f64 x n) (expm1.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 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.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)))
(fma.f64 (*.f64 x x) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))))
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 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/ (+ (/ (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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) 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 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) 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 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.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 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (*.f64 x x))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (pow.f64 x (/.f64 #s(literal 1 binary64) 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))))
(fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) 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)))))
(fma.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) x) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (+.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ (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 n n)) (/.f64 #s(literal 1/2 binary64) 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 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))) x))) 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))
(/.f64 (+.f64 (/.f64 (-.f64 (*.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 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))) (/.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))) x))) x)) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x)
(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 n n)) (/.f64 #s(literal 1/2 binary64) 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 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))) x))) 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)) (pow.f64 x (/.f64 #s(literal 1 binary64) 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 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (-.f64 (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)
(-.f64 (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (log1p.f64 x)) (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (log.f64 x)))) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(-.f64 (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 3 binary64))) (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)))) (fma.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)))) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(+ 1 (/ (log (+ 1 x)) n))
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(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) 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))))
(fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) n) #s(literal 1/2 binary64) (+.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64))))
(+ 1 (/ (log x) n))
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64)))
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 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))
(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) n) (-.f64 (log.f64 x) (log1p.f64 x))) (neg.f64 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))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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 #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))) n)) (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 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64) (*.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))) (neg.f64 n))) n)) (neg.f64 n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (neg.f64 (log1p.f64 x))) n))
(+ 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 (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64))) n) (log1p.f64 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64))
(+ 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 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x)) n))

rewrite151.0ms (0.6%)

Memory
5.2MiB live, 203.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831
01331
16331
240731
3433531
0842427
Stop Event
iter limit
node limit
iter limit
Counts
5 → 321
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)
(pow.f64 x (/.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 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n))))
(*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) 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 (pow.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)))) #s(literal 2 binary64)) (pow.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)))) #s(literal 2 binary64))) (+.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 (pow.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))))) #s(literal 2 binary64)) (pow.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))))) #s(literal 2 binary64))) (+.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 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)))))))
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(pow.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (pow.f64 (*.f64 x x) (pow.f64 n #s(literal -1/2 binary64))) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 x x) (pow.f64 n #s(literal -1/2 binary64))) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) n) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 x (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64)))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64)))) (pow.f64 n #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) n)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) n)))
(exp.f64 (/.f64 (log.f64 x) n))

eval124.0ms (0.5%)

Memory
-21.7MiB live, 139.8MiB allocated
Compiler

Compiled 11 308 to 1 474 computations (87% saved)

prune14.0ms (0.1%)

Memory
-12.6MiB live, 32.2MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4148422
Fresh000
Picked101
Done000
Total4158423
Accuracy
99.8%
Counts
423 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.7%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
18.8%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
24.3%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
31.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
40.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
43.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
62.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
58.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
Compiler

Compiled 416 to 252 computations (39.4% saved)

simplify142.0ms (0.6%)

Memory
36.1MiB live, 192.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 x)
cost-diff0
(/.f64 (log1p.f64 x) n)
cost-diff0
(exp.f64 (/.f64 (log1p.f64 x) n))
cost-diff0
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff0
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
cost-diff320
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
cost-diff7744
(fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
cost-diff0
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff320
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
cost-diff320
(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))
cost-diff384
(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))
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
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff0
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
cost-diff0
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032373
056373
177373
2124373
3291373
4572366
51240366
62485346
74913340
87101340
08044334
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
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 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
n
(/.f64 #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 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
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 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) 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 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) x #s(literal 1 binary64)) (/.f64 x n) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) x #s(literal 1 binary64)) (/.f64 x n) #s(literal 1 binary64))
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n))
(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
n
(/.f64 #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 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) x))))
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(*.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) x)))
(fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) x) #s(literal -1 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)

localize324.0ms (1.4%)

Memory
-32.6MiB live, 322.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.010097509768442016
(exp.f64 (/.f64 (log1p.f64 x) n))
accuracy0.03479254138909578
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy0.17578125
(/.f64 (log1p.f64 x) n)
accuracy25.73203251017125
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy0.0625
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
accuracy0.3593903636538794
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
accuracy7.671833719124422
(fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
accuracy24.428854724561674
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
accuracy1.0147012230909231
(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))
accuracy1.7405054671577933
(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))
accuracy25.73203251017125
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy28.225044033587324
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
accuracy0.0
(/.f64 #s(literal 1 binary64) n)
accuracy0.03479254138909578
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy12.7894893947993
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy25.73203251017125
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy0.00390625
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
accuracy0.03479254138909578
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy0.1328125
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
accuracy23.916036006228772
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
Samples
197.0ms105×2valid
52.0ms80×1valid
18.0ms42×0valid
7.0ms29×0exit
Compiler

Compiled 684 to 62 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 236.0ms
ival-pow: 139.0ms (58.9% of total)
ival-div: 29.0ms (12.3% of total)
adjust: 18.0ms (7.6% of total)
ival-log1p: 13.0ms (5.5% of total)
ival-add: 10.0ms (4.2% of total)
ival-mult: 10.0ms (4.2% of total)
ival-exp: 9.0ms (3.8% of total)
ival-sub: 7.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series379.0ms (1.6%)

Memory
-170.7MiB live, 164.4MiB allocated
Counts
20 → 141
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
(pow.f64 x (/.f64 #s(literal 1 binary64) 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))
(/.f64 #s(literal 1 binary64) 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))
(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))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 n 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)))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) x)
(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 n)
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) x)
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) (pow x 2))
(/ x n)
(* x (+ (* -1/2 (/ x n)) (/ 1 n)))
(* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))
(* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n)))
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))))
(/ (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))) 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 (- (* 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))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n)
(+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))
(* -1 (/ (log (/ 1 x)) n))
(+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x)))
(- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2))))
(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2)))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow 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))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 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)))
(* -1 (* x (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x)))))
(/ (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 (pow n 2))) (* 1/2 (/ 1 n)))) x))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n)
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (/ 1 (* n x)) (/ (log -1) n)))
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) (/ (log -1) n)))
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) (/ (log -1) n)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log 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 (pow n 2))
(/ (+ 1/2 (* -1/2 n)) (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))
(/ (log (+ 1 x)) 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 (* 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 x)
(+ (/ 1 x) (/ (log x) (* n x)))
(+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))
(+ (* 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)))))
(+ 1 (/ (log x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log 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 (* -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)))
(/ -1/2 n)
(/ (- (* 1/2 (/ 1 n)) 1/2) 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)
(/ (- 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)
(* -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 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 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x))
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (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)))
(* -1 (/ (- (* 1/2 x) 1) n))
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) 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 (* 1/2 (/ 1 n))) n))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) n))
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -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 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n))
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) x)) (+ (* 1/6 (pow (log x) 3)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x))))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) (pow x 2))) (+ (* 1/6 (/ (pow (log x) 3) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2)))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
Calls

6 calls:

TimeVariablePointExpression
278.0ms
n
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (/ 1/2 (* n n)) (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (pow (+ x 1) (/ 1 n)) (/ 1/2 (* n n)))
35.0ms
n
@0
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (/ 1/2 (* n n)) (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (pow (+ x 1) (/ 1 n)) (/ 1/2 (* n n)))
22.0ms
x
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (/ 1/2 (* n n)) (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (pow (+ x 1) (/ 1 n)) (/ 1/2 (* n n)))
16.0ms
x
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (/ 1/2 (* n n)) (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (pow (+ x 1) (/ 1 n)) (/ 1/2 (* n n)))
15.0ms
n
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (/ 1/2 (* n n)) (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (pow (+ x 1) (/ 1 n)) (/ 1/2 (* n n)))

simplify201.0ms (0.8%)

Memory
40.0MiB live, 190.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06483533
119083287
256613234
086343042
Stop Event
iter limit
node limit
Counts
141 → 140
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)))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) x)
(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 n)
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) x)
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) (pow x 2))
(/ x n)
(* x (+ (* -1/2 (/ x n)) (/ 1 n)))
(* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))
(* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n)))
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))))
(/ (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))) x)
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(* 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))))
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(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n)
(+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))
(* -1 (/ (log (/ 1 x)) n))
(+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x)))
(- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2))))
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(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow 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))
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(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) x)
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(/ (log (+ 1 x)) n)
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(/ 1 x)
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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))))
(/ (+ 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)))
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(/ (- 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)
(/ (- 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)
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(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
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(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
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(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (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)))
(* -1 (/ (- (* 1/2 x) 1) n))
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) 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 (* 1/2 (/ 1 n))) n))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) n))
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -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 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n))
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) x)) (+ (* 1/6 (pow (log x) 3)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x))))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) (pow x 2))) (+ (* 1/6 (/ (pow (log x) 3) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2)))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 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)))
(fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) 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)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) x (/.f64 #s(literal 1 binary64) n)) x (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/ (exp (/ (log x) n)) x)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)
(exp (/ (log x) n))
(exp.f64 (/.f64 (log.f64 x) n))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
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(+ 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 n)
(/.f64 #s(literal 1 binary64) n)
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n))
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) (exp.f64 (/.f64 (log.f64 x) n)))
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) x)
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(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x))
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) (pow x 2))
(/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))) (*.f64 x x))
(/ x n)
(/.f64 x n)
(* x (+ (* -1/2 (/ x n)) (/ 1 n)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (/.f64 #s(literal 1 binary64) n)) x)
(* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) x (/.f64 #s(literal -1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x)
(* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 x n) (/.f64 #s(literal 1/3 binary64) n)) x (/.f64 #s(literal -1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x)
x
(* x (+ 1 (* -1/2 x)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x)
(/ (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 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) 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)
(/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (*.f64 x x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #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 (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.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 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (*.f64 x x))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x)
(/ (exp (* -1 (/ (log (/ 1 x)) n))) x)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) 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)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
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(+ (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)))))
(fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (*.f64 x x))) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (exp.f64 (/.f64 (log.f64 x) n))))
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x)
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) x)
(* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(*.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(*.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) x) x)
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) (*.f64 x x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)
(+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))
(fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
(* -1 (/ (log (/ 1 x)) n))
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(+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x)))
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(- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2))))
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(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2)))))
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(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
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(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
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(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
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(/ (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))
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(* -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))
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(* -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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(/ (- (+ (* -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)
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (log.f64 x) n) (+.f64 (fma.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 x x)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (/.f64 (log.f64 x) n) n) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (*.f64 n n))) (+.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) n))))))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 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))
(/.f64 (-.f64 (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))) (neg.f64 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))
(/.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 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) 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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) (neg.f64 n))) n) (log1p.f64 x))) (neg.f64 n))
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
(/.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x)) n)
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))
(/.f64 (+.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) (/.f64 #s(literal 1 binary64) 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))
(/.f64 (+.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) (/.f64 #s(literal 1 binary64) x)) n)
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 (neg.f64 (log.f64 x)) x)) n))
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x))
(+.f64 (/.f64 (+.f64 (/.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) (/.f64 (log.f64 x) x)) n) (/.f64 #s(literal 1 binary64) x))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(+.f64 (/.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))) n) (log.f64 x)) n) #s(literal 1 binary64))
(+ 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 (/.f64 (+.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) #s(literal 1 binary64))
(* -1 (/ (- (* 1/2 x) 1) n))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (neg.f64 n))
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 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)) n) x))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 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 (* 1/2 (/ 1 n))) n))
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) n)) (* 1/2 (/ 1 x))) 1) n))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) x) #s(literal -1/2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) x)) n)) #s(literal 1 binary64)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1/2 (/ (log x) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) x) #s(literal -1/2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (log.f64 x) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) n)) n)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) x)) (+ (* 1/6 (pow (log x) 3)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x))))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) x) #s(literal -1/2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (log.f64 x) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) #s(literal -1/12 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (neg.f64 n)))) n)) n)) #s(literal 1 binary64)) (neg.f64 n))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (log.f64 x) x) (+.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) n)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (log.f64 x) x) (+.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (/.f64 (log.f64 x) x) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x)) (*.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) x) #s(literal 1/4 binary64))) n)) n)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) (pow x 2))) (+ (* 1/6 (/ (pow (log x) 3) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2)))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (log.f64 x) x) (+.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (/.f64 (log.f64 x) x) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x)) (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) x) #s(literal -1/12 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) x) #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) #s(literal 1/6 binary64)))) (neg.f64 n)))) n)) n)) (neg.f64 n))

rewrite203.0ms (0.9%)

Memory
-21.2MiB live, 171.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032284
056272
1252256
22138256
08308256
Stop Event
iter limit
node limit
iter limit
Counts
20 → 657
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
(pow.f64 x (/.f64 #s(literal 1 binary64) 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))
(/.f64 #s(literal 1 binary64) 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))
(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))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 n 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))) x) n))
(*.f64 (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) n))
(*.f64 (/.f64 (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) x))
(*.f64 (/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) x))
(*.f64 (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1 binary64))))))
(*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) x) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) x) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) n) (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) x))
(*.f64 (/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 n #s(literal -1 binary64))) x))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))
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(pow.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n)))
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log1p.f64 x) (neg.f64 n))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n)))
(exp.f64 (fma.f64 (log1p.f64 x) (/.f64 #s(literal 1/2 binary64) n) (*.f64 (log1p.f64 x) (/.f64 #s(literal 1/2 binary64) n))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
(exp.f64 (*.f64 (log1p.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (/.f64 (log1p.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(*.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (log1p.f64 x))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)) (log1p.f64 x))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 #s(literal -1 binary64) n))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n))))
(*.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64))
(*.f64 (log1p.f64 x) (pow.f64 n #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log1p.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (log1p.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(pow.f64 (/.f64 (/.f64 n (log1p.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 n (log1p.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64))) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))) (neg.f64 n))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log1p.f64 x)))) (neg.f64 (neg.f64 (neg.f64 n))))
(/.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)) (neg.f64 n))
(/.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) n)
(/.f64 (neg.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (log1p.f64 x)) (neg.f64 n))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 n (log1p.f64 x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (log1p.f64 x))))
(/.f64 (log1p.f64 x) n)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 n (log1p.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (log1p.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log1p.f64 x)))
(neg.f64 (/.f64 (neg.f64 (log1p.f64 x)) n))
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 n)))
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) n) (/.f64 (log1p.f64 (neg.f64 x)) n))
(-.f64 (/.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) n) (/.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) n))
(-.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) n) (/.f64 (log1p.f64 (fma.f64 x x (neg.f64 x))) n))
(-.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) n) (/.f64 (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) n))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 (log1p.f64 x) (neg.f64 n)))
(+.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n))) (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (log1p.f64 x))) #s(literal -1 binary64)))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))
(log1p.f64 x)
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x (neg.f64 x))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) x))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x (pow.f64 n #s(literal -1 binary64))) x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)))
(*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64))) n))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (neg.f64 n) n) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 n #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -2 binary64)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(pow.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1/2 binary64) n) (neg.f64 n))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 n) n))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (neg.f64 n)))
(/.f64 (/.f64 #s(literal 1/2 binary64) n) n)
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 n) n)))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 n n) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (neg.f64 n)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64))) #s(literal -1 binary64)))

eval196.0ms (0.8%)

Memory
26.1MiB live, 293.3MiB allocated
Compiler

Compiled 47 862 to 4 513 computations (90.6% saved)

prune39.0ms (0.2%)

Memory
-18.8MiB live, 104.4MiB allocated
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1 202161 218
Fresh123
Picked325
Done000
Total1 206201 226
Accuracy
99.8%
Counts
1 226 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.1%
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
28.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
31.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
20.3%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
11.9%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) (*.f64 x x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
13.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
27.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
40.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
48.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
62.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
62.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
62.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
58.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
61.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
42.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
40.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))) x)) x))
34.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
62.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)))
38.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (fma.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) #s(literal -1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 n n))))
37.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (log.f64 x) x) (+.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) n)) (neg.f64 n))))
Compiler

Compiled 1 442 to 801 computations (44.5% saved)

simplify134.0ms (0.6%)

Memory
25.6MiB live, 139.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x n)
cost-diff0
#s(approx (/ (log (+ 1 x)) n) (/.f64 x n))
cost-diff0
(exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n)))
cost-diff0
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff0
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))
cost-diff0
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)))
cost-diff0
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff320
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
cost-diff0
(/.f64 x n)
cost-diff0
(+.f64 (/.f64 x n) #s(literal 1 binary64))
cost-diff0
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
cost-diff0
(-.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)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
cost-diff0
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)))
cost-diff704
(/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))
cost-diff7488
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052459
079453
1115453
2175445
3348441
4755435
51395429
62645429
75969429
08193405
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))
(/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n))
x
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
#s(literal 1 binary64)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)
(/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)
#s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
n
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(/.f64 x n)
x
n
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
n
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n)))
#s(approx (/ (log (+ 1 x)) n) (/.f64 x n))
(/.f64 x n)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n))
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n))
x
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
#s(literal 1 binary64)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)
(/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)
#s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
n
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(/.f64 x n)
x
n
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) x n) x (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) x n) x (*.f64 n n)) n) n)))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) x n) x (*.f64 n n)) n) n))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) x n) x (*.f64 n n)) n) n)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) x n) x (*.f64 n n)) n)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) x n) x (*.f64 n n))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
n
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n)))
#s(approx (/ (log (+ 1 x)) n) (/.f64 x n))
(/.f64 x n)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)

localize315.0ms (1.3%)

Memory
-0.6MiB live, 321.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.010097509768442016
(exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n)))
accuracy0.03479254138909578
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy25.73203251017125
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy30.493406300473254
#s(approx (/ (log (+ 1 x)) n) (/.f64 x n))
accuracy4.492345297066234
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)
accuracy18.253827938757134
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)
accuracy25.73203251017125
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy31.457289858843282
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)))
accuracy0.0
(+.f64 (/.f64 x n) #s(literal 1 binary64))
accuracy0.03479254138909578
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy25.73203251017125
(-.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)))
accuracy27.054935385343576
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.1328125
(/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)
accuracy23.916036006228772
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
accuracy25.235441471972653
#s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x))
accuracy0.026837362185872675
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n))
accuracy0.02734375
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))
accuracy0.08203125
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)
accuracy23.916036006228772
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)))
Samples
164.0ms105×2valid
81.0ms106×1valid
30.0ms45×0valid
Compiler

Compiled 771 to 98 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 204.0ms
ival-pow: 65.0ms (31.9% of total)
ival-div: 50.0ms (24.5% of total)
adjust: 26.0ms (12.8% of total)
ival-mult: 22.0ms (10.8% of total)
ival-add: 17.0ms (8.3% of total)
ival-exp: 8.0ms (3.9% of total)
ival-sub: 8.0ms (3.9% of total)
ival-log1p: 7.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series125.0ms (0.5%)

Memory
-6.6MiB live, 111.4MiB allocated
Counts
23 → 140
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))
(/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)))
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)
#s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(/.f64 x n)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n)))
#s(approx (/ (log (+ 1 x)) n) (/.f64 x n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)
Outputs
(/ (pow (exp (* 1/2 (/ (log x) n))) 2) (* n x))
(exp (* 1/2 (/ (log x) n)))
(- 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)))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) x)
(/ 1 x)
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))))
(/ x n)
(pow n 2)
(+ (* n x) (pow n 2))
(+ (* x (+ n (* x (+ 1/2 (* -1/2 n))))) (pow n 2))
(* x (+ (* -1/2 (/ x n)) (/ 1 n)))
(* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))
(* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(/ (exp (* 1/2 (/ (log x) n))) (* n x))
(exp (/ (log x) n))
n
(+ n x)
(+ n (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))))
(/ (pow (exp (* -1/2 (/ (log (/ 1 x)) n))) 2) (* n x))
(exp (* -1/2 (/ (log (/ 1 x)) n)))
(/ (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))) 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 (+ (/ 1 n) (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1/2 n)))
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (+ (/ n x) (/ (pow n 2) (pow x 2))))))
(* (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))
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(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2)))))
(/ (exp (* -1/2 (/ (log (/ 1 x)) n))) (* n x))
(/ (* (pow x 2) (+ 1/2 (* -1/2 n))) n)
(* (pow x 2) (+ -1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))
(* (pow x 2) (+ -1/2 (+ (* 1/2 (/ 1 n)) (+ (/ 1 x) (/ n (pow x 2))))))
(/ (* (pow x 2) (+ 1/2 (* -1/2 n))) (pow n 2))
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (pow x 2))))))
(/ (pow (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) 2) (* n x))
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(* -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)) 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)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (+ (* -1 n) (* -1 (/ (pow n 2) x))) x)) (* -1/2 n))))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n)
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (/ 1 (* n x)) (/ (log -1) n)))
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) (/ (log -1) n)))
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) (/ (log -1) n)))
(/ (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x))
(* (pow x 2) (+ -1/2 (+ (* -1 (/ (- (* -1 (/ n x)) 1) x)) (* 1/2 (/ 1 n)))))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
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(/ (+ n x) n)
(* 1/2 (pow x 2))
(+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x)))))
(+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x))))))
(* 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))
(/ (log (+ 1 x)) n)
(* 1/2 (/ (pow x 2) n))
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) n)
(/ (+ (* 1/2 (pow x 2)) (* n (+ n (* 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)
(/ (+ (* 1/24 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/8 (/ (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)
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(/ (- (+ (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)
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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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(* (pow n 2) (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n))))
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(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))
(/ (+ (* 1/2 (/ (log x) (* n x))) (/ 1 x)) n)
(/ (+ (* 1/8 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* 1/2 (/ (log x) (* n x))) (/ 1 x))) n)
(/ (+ (* 1/48 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/8 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* 1/2 (/ (log x) (* n x))) (/ 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))))
(* n (+ 1 (/ (* x (+ 1 (* -1/2 x))) n)))
(* n (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) 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)) (+ (* -1/8 (/ (pow (log x) 3) (* n x))) (* -1/24 (/ (pow (log x) 3) (* n x))))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
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(* -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 (/ (+ (* -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 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x))
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x))
(+ 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)))
(* (pow n 2) (+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow 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 (/ (log x) (* n x))) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow (log x) 2) (* n x))) (* 1/2 (/ (log x) x))) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (log x) 2) x)) (* -1/48 (/ (pow (log x) 3) (* n x)))) n)) (* 1/2 (/ (log x) x))) n)) (/ 1 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(* -1 (* n (- (* -1 (/ (* x (+ 1 (* -1/2 x))) n)) 1)))
(* -1 (* n (- (* -1 (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)) 1)))
(+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n)))
Calls

6 calls:

TimeVariablePointExpression
51.0ms
x
@-inf
((* (/ (pow x (/ 1/2 n)) 1) (/ (/ (pow x (/ 1/2 n)) n) x)) (/ (pow x (/ 1/2 n)) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (/ (/ (pow x (/ 1/2 n)) n) x) (pow x (/ 1 n)) (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (/ (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) n))
20.0ms
n
@-inf
((* (/ (pow x (/ 1/2 n)) 1) (/ (/ (pow x (/ 1/2 n)) n) x)) (/ (pow x (/ 1/2 n)) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (/ (/ (pow x (/ 1/2 n)) n) x) (pow x (/ 1 n)) (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (/ (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) n))
15.0ms
x
@inf
((* (/ (pow x (/ 1/2 n)) 1) (/ (/ (pow x (/ 1/2 n)) n) x)) (/ (pow x (/ 1/2 n)) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (/ (/ (pow x (/ 1/2 n)) n) x) (pow x (/ 1 n)) (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (/ (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) n))
14.0ms
x
@0
((* (/ (pow x (/ 1/2 n)) 1) (/ (/ (pow x (/ 1/2 n)) n) x)) (/ (pow x (/ 1/2 n)) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (/ (/ (pow x (/ 1/2 n)) n) x) (pow x (/ 1 n)) (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (/ (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) n))
12.0ms
n
@inf
((* (/ (pow x (/ 1/2 n)) 1) (/ (/ (pow x (/ 1/2 n)) n) x)) (/ (pow x (/ 1/2 n)) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (/ (/ (pow x (/ 1/2 n)) n) x) (pow x (/ 1 n)) (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (/ (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) n))

simplify155.0ms (0.7%)

Memory
28.7MiB live, 178.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05803104
117162932
248982760
081582565
Stop Event
iter limit
node limit
Counts
140 → 139
Calls
Call 1
Inputs
(/ (pow (exp (* 1/2 (/ (log x) n))) 2) (* n x))
(exp (* 1/2 (/ (log x) n)))
(- 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)))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) x)
(/ 1 x)
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))))
(/ x n)
(pow n 2)
(+ (* n x) (pow n 2))
(+ (* x (+ n (* x (+ 1/2 (* -1/2 n))))) (pow n 2))
(* x (+ (* -1/2 (/ x n)) (/ 1 n)))
(* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))
(* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(/ (exp (* 1/2 (/ (log x) n))) (* n x))
(exp (/ (log x) n))
n
(+ n x)
(+ n (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))))
(/ (pow (exp (* -1/2 (/ (log (/ 1 x)) n))) 2) (* n x))
(exp (* -1/2 (/ (log (/ 1 x)) n)))
(/ (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))) 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 (+ (/ 1 n) (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1/2 n)))
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (+ (/ n x) (/ (pow n 2) (pow x 2))))))
(* (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))
(+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x)))
(- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2))))
(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2)))))
(/ (exp (* -1/2 (/ (log (/ 1 x)) n))) (* n x))
(/ (* (pow x 2) (+ 1/2 (* -1/2 n))) n)
(* (pow x 2) (+ -1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))
(* (pow x 2) (+ -1/2 (+ (* 1/2 (/ 1 n)) (+ (/ 1 x) (/ n (pow x 2))))))
(/ (* (pow x 2) (+ 1/2 (* -1/2 n))) (pow n 2))
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Outputs
(/ (pow (exp (* 1/2 (/ (log x) n))) 2) (* n x))
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(fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) n) #s(literal 1/2 binary64) (+.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64))))
(* (pow n 2) (+ 1 (/ (* x (+ 1 (* -1/2 x))) n)))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (/.f64 x n) #s(literal 1 binary64)) n) n)
(* (pow n 2) (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (fma.f64 (*.f64 x (/.f64 x n)) (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64))) (*.f64 n n))
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (/.f64 x n) #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (fma.f64 (*.f64 x (/.f64 x n)) (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)))
(/ (+ (* 1/2 (/ (log x) (* n x))) (/ 1 x)) n)
(/.f64 (fma.f64 (/.f64 (/.f64 (log.f64 x) n) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) n)
(/ (+ (* 1/8 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* 1/2 (/ (log x) (* n x))) (/ 1 x))) n)
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 n n)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (fma.f64 (/.f64 (/.f64 (log.f64 x) n) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) n)
(/ (+ (* 1/48 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/8 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* 1/2 (/ (log x) (* n x))) (/ 1 x)))) n)
(/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) x) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 n n)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (fma.f64 (/.f64 (/.f64 (log.f64 x) n) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) n)
(+ 1 (/ (log x) n))
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 #s(literal 1/2 binary64) n) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 #s(literal 1/2 binary64) n) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))))
(* n (+ 1 (/ (* x (+ 1 (* -1/2 x))) n)))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (/.f64 x n) #s(literal 1 binary64)) n)
(* n (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (fma.f64 (*.f64 x (/.f64 x n)) (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64))) n)
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
(/.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x)) n)
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))
(/.f64 (+.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) (/.f64 #s(literal 1 binary64) x)) n)
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (+ (* -1/8 (/ (pow (log x) 3) (* n x))) (* -1/24 (/ (pow (log x) 3) (* n x))))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(/.f64 (+.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) (/.f64 #s(literal 1 binary64) x)) n)
(+ 1 (* -1 (/ (+ (* -1/2 (log x)) (* -1/8 (/ (pow (log x) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 #s(literal -1/2 binary64) (log.f64 x))) n))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (pow (log x) 3) n)) (* 1/8 (pow (log x) 2))) n)) (* -1/2 (log x))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/48 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n))) n))
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 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))
(/.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) (-.f64 (log.f64 x) (log1p.f64 x))) (neg.f64 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))
(/.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 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(/.f64 (+.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) (/.f64 #s(literal 1 binary64) x)) n)
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.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)) (neg.f64 n)))
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x))
(+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) n) (/.f64 (log.f64 x) x)) n) (/.f64 #s(literal 1 binary64) x))
(+ 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 (/.f64 (+.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) #s(literal 1 binary64))
(* (pow n 2) (+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) n) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) n)) (*.f64 n n))
(+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) n) (neg.f64 x) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) n) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) n))
(* -1 (/ (- (* -1/2 (/ (log x) (* n x))) (/ 1 x)) n))
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (log.f64 x) n) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
(* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow (log x) 2) (* n x))) (* 1/2 (/ (log x) x))) n)) (/ 1 x)) n))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (log.f64 x) x) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) x) #s(literal 1/8 binary64))) n) (/.f64 #s(literal 1 binary64) x)) n)
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (log x) 2) x)) (* -1/48 (/ (pow (log x) 3) (* n x)))) n)) (* 1/2 (/ (log x) x))) n)) (/ 1 x)) n))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (log.f64 x) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x))) (neg.f64 n))) n) (/.f64 #s(literal 1 binary64) x)) n)
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.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 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(+.f64 (/.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))) n) (log.f64 x)) n) #s(literal 1 binary64))
(* -1 (* n (- (* -1 (/ (* x (+ 1 (* -1/2 x))) n)) 1)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) n) (neg.f64 x) #s(literal 1 binary64)) n)
(* -1 (* n (- (* -1 (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)) 1)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) n)) (neg.f64 n))
(+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) n) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) n))

rewrite180.0ms (0.8%)

Memory
-4.6MiB live, 192.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052390
079384
1346366
22929366
09566342
Stop Event
iter limit
node limit
iter limit
Counts
23 → 467
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))
(/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)))
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)
#s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(/.f64 x n)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n)))
#s(approx (/ (log (+ 1 x)) n) (/.f64 x n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)
Outputs
(*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x) (pow.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) n)))
(*.f64 (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x) #s(literal 1 binary64))
(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (pow.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)))
(*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) (pow.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) n))))
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))
(pow.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal -1/2 binary64) n))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))))) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)) (neg.f64 x))
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (neg.f64 n)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) n))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 2 binary64))) (neg.f64 n)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 2 binary64))) n))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 3 binary64))) (*.f64 n (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))))
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))
(neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (neg.f64 n)))
(exp.f64 (*.f64 (log.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 n (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 n) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (neg.f64 n)) (pow.f64 (neg.f64 n) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) (pow.f64 n #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (pow.f64 n #s(literal -2 binary64)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))
(pow.f64 (/.f64 (*.f64 n n) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 n (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) #s(literal -1 binary64)) (neg.f64 n))
(/.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) #s(literal 1 binary64)) n)
(/.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #s(literal -1 binary64)) (*.f64 n n))
(/.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #s(literal 1 binary64)) (*.f64 (neg.f64 n) n))
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #s(literal -1 binary64)) (*.f64 (neg.f64 n) n))
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64)) (*.f64 n n))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 n n) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 3 binary64))) (*.f64 (*.f64 n n) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (*.f64 (neg.f64 n) n))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (neg.f64 n)) (neg.f64 n))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n)))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) (neg.f64 (neg.f64 n)))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (*.f64 n n))
(/.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n n) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)))
(neg.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (neg.f64 n)) n))
(neg.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) (neg.f64 n)))
(exp.f64 (*.f64 (log.f64 (/.f64 n (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))) #s(literal -1 binary64)))

eval108.0ms (0.5%)

Memory
-18.2MiB live, 137.0MiB allocated
Compiler

Compiled 30 420 to 2 496 computations (91.8% saved)

prune58.0ms (0.2%)

Memory
-4.2MiB live, 79.5MiB allocated
Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New68210692
Fresh31013
Picked235
Done022
Total68725712
Accuracy
99.8%
Counts
712 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.1%
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
31.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
13.8%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 (fma.f64 (+.f64 (/.f64 n x) #s(literal 1 binary64)) (/.f64 n x) (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64))) (*.f64 x x))) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
32.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
20.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
25.9%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
20.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
13.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
27.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
40.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
48.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
62.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
61.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))))))
62.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
62.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
58.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
61.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
42.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) n))
48.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))
42.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
40.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))) x)) x))
34.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
41.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))))
42.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
37.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (log.f64 x) x) (+.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) n)) (neg.f64 n))))
Compiler

Compiled 1 777 to 1 001 computations (43.7% saved)

simplify166.0ms (0.7%)

Memory
15.7MiB live, 169.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))
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)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
cost-diff6080
(*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))
cost-diff0
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n)))))
cost-diff0
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff320
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
cost-diff832
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n)))
cost-diff0
(pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)))
cost-diff0
(/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
cost-diff192
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)
cost-diff0
#s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
cost-diff0
(/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x)
cost-diff0
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060570
093566
1145566
2260558
3597558
41537535
54583520
08249504
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal -1 binary64) n))
x
(/.f64 #s(literal -1 binary64) n)
#s(literal -1 binary64)
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
(/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)
#s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
(/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)
(pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)))
x
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
#s(literal -1 binary64)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n)))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n)))
#s(literal -1 binary64)
(*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))
(/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
n
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(neg.f64 n)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))
(pow.f64 n #s(literal -1 binary64))
n
#s(literal -1 binary64)
#s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
x
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal -1 binary64) n))
x
(/.f64 #s(literal -1 binary64) n)
#s(literal -1 binary64)
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
(/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)
#s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n))
(/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)
(/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n)
(pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)))
(pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n)))
x
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
#s(literal -1 binary64)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (+.f64 (/.f64 x n) #s(literal 2 binary64)) x)) x #s(literal 1 binary64)))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n)))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (+.f64 (/.f64 x n) #s(literal 2 binary64)) x)) x #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (+.f64 (/.f64 x n) #s(literal 2 binary64)) x)) x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (+.f64 (/.f64 x n) #s(literal 2 binary64)) x)) x #s(literal 1 binary64))
#s(literal -1 binary64)
(*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))
(*.f64 (neg.f64 n) (/.f64 n (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) n) (*.f64 n n))))
(/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
(/.f64 n (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) n) (*.f64 n n)))
n
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) n) (*.f64 n n))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(neg.f64 n)
(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))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))) n))
(*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))) n)
(pow.f64 n #s(literal -1 binary64))
n
#s(literal -1 binary64)
#s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
x

localize387.0ms (1.6%)

Memory
21.5MiB live, 423.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 n #s(literal -1 binary64))
accuracy0.11328125
(*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))
accuracy18.34233051923212
#s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))
accuracy23.916036006228772
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
accuracy4.269496159113499
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
accuracy18.363665891108266
(/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
accuracy25.73203251017125
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy28.225044033587324
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n)))))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) n)
accuracy0.1328125
(/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)
accuracy0.1633249424485967
(pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)))
accuracy23.916036006228772
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
accuracy0.0625
(/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)
accuracy0.10546875
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)
accuracy18.65811355653659
#s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
accuracy24.428854724561674
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
accuracy0.032815935297977286
(pow.f64 x (/.f64 #s(literal -1 binary64) n))
accuracy0.1328125
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)
accuracy23.916036006228772
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
Samples
200.0ms105×2valid
78.0ms80×1valid
17.0ms42×0valid
17.0ms29×0exit
Compiler

Compiled 955 to 116 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 250.0ms
ival-pow: 70.0ms (28% of total)
ival-div: 69.0ms (27.6% of total)
ival-add: 41.0ms (16.4% of total)
ival-mult: 32.0ms (12.8% of total)
adjust: 29.0ms (11.6% of total)
ival-sub: 6.0ms (2.4% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series118.0ms (0.5%)

Memory
0.8MiB live, 155.1MiB allocated
Counts
23 → 169
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x)
(/.f64 #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 (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
(/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)
#s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
(/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)
(pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n)))))
(*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.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)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
(pow.f64 n #s(literal -1 binary64))
#s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
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 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* x (exp (* -1 (/ (log x) n)))))
(/ 1 (exp (* -1 (/ (log x) n))))
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) (pow x 2))
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) x)
(/ -1/2 (* n x))
(/ (- (/ x n) (* 1/2 (/ 1 n))) x)
(/ (exp (* (log x) (- (/ 1 n) 1))) n)
(exp (* (log x) (- (/ 1 n) 1)))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(pow n 2)
(+ (* n x) (pow n 2))
(+ (* x (+ n (* x (+ 1/2 (* -1/2 n))))) (pow n 2))
(+ 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)) (* n x))
(/ (exp (/ (log x) n)) x)
(exp (* -1 (/ (log x) n)))
(/ 1 n)
(+ (* -1 (/ x (pow n 2))) (/ 1 n))
(+ (* x (- (* x (+ (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 (pow n 3))))) (/ 1 (pow n 2)))) (/ 1 n))
(+ (* x (- (* x (+ (* -1 (* x (+ (* -1 (/ (+ 1/2 (* -1/2 n)) (pow n 4))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))))) (+ (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 (pow n 3)))))) (/ 1 (pow n 2)))) (/ 1 n))
(/ (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 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/ 1 (* x (exp (/ (log (/ 1 x)) n))))
(/ 1 (exp (/ (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 (pow n 2))) (* 1/2 (/ 1 n)))) x))
(- (/ 1 n) (* 1/2 (/ 1 (* n x))))
(/ (exp (* -1 (* (log (/ 1 x)) (- (/ 1 n) 1)))) n)
(exp (* -1 (* (log (/ 1 x)) (- (/ 1 n) 1))))
(/ (* (pow x 2) (+ 1/2 (* -1/2 n))) (pow n 2))
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (pow x 2))))))
(* (pow x 2) (+ 1/2 (* -1/2 n)))
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (+ (/ n x) (/ (pow n 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)))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) x)
(exp (/ (log (/ 1 x)) n))
(/ n (* (pow x 2) (+ 1/2 (* -1/2 n))))
(/ (+ (* -1 (/ (pow n 2) (* x (pow (+ 1/2 (* -1/2 n)) 2)))) (/ n (+ 1/2 (* -1/2 n)))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 3))) (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 2))) (pow x 2))) (/ n (+ 1/2 (* -1/2 n)))) (/ (pow n 2) (* x (pow (+ 1/2 (* -1/2 n)) 2)))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* n (+ (* -1 (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 3))) (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 2)))) (+ 1/2 (* -1/2 n)))) (* -1 (/ (pow n 4) (pow (+ 1/2 (* -1/2 n)) 3)))) (pow x 3))) (/ n (+ 1/2 (* -1/2 n)))) (+ (* -1 (/ (pow n 3) (* (pow x 2) (pow (+ 1/2 (* -1/2 n)) 3)))) (+ (/ (pow n 2) (* x (pow (+ 1/2 (* -1/2 n)) 2))) (/ (pow n 3) (* (pow x 2) (pow (+ 1/2 (* -1/2 n)) 2)))))) (pow 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 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ 1 (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))
(/ 1 (exp (* -1 (/ (+ (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 (pow n 2))) (* 1/2 (/ 1 n)))) x))
(/ (exp (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (/ 1 n) 1))) n)
(exp (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (/ 1 n) 1)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (+ (* -1 n) (* -1 (/ (pow n 2) x))) x)) (* -1/2 n))))
(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) (* -1 (log (/ -1 x)))) n)) x)
(exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow n 3) (* x (pow (+ 1/2 (* -1/2 n)) 3)))) (/ (pow n 3) (* x (pow (+ 1/2 (* -1/2 n)) 2)))) (* -1 (/ (pow n 2) (pow (+ 1/2 (* -1/2 n)) 2)))) x)) (/ n (+ 1/2 (* -1/2 n)))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* n (+ (* -1 (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 3))) (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 2)))) (* x (+ 1/2 (* -1/2 n)))) (/ (pow n 4) (* x (pow (+ 1/2 (* -1/2 n)) 3)))) (+ (* -1 (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 3))) (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 2)))) x)) (* -1 (/ (pow n 2) (pow (+ 1/2 (* -1/2 n)) 2)))) x)) (/ n (+ 1/2 (* -1/2 n)))) (pow x 2))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(* 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 (/ (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 (* 1/2 (/ 1 x))) n)
(/ (+ 1 (* -1 n)) n)
(* 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 (pow x 2))
(+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x)))))
(+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x))))))
(exp (/ (log (+ 1 x)) n))
(/ 1/2 n)
(* 2 (/ n (pow x 2)))
(* n (+ (* -4 (/ (* n (+ 1 (* -1/2 x))) (pow x 3))) (* 2 (/ 1 (pow x 2)))))
(* n (+ (* n (- (* -1 (* n (+ (* -8 (/ (pow (+ 1 (* -1/2 x)) 2) (pow x 4))) (* 4 (/ 1 (pow x 4)))))) (* 4 (/ (+ 1 (* -1/2 x)) (pow x 3))))) (* 2 (/ 1 (pow x 2)))))
(* n (+ (* n (- (* n (- (* -1 (* n (+ (* -8 (/ (+ 1 (* -1/2 x)) (pow x 5))) (* -2 (/ (* (+ 1 (* -1/2 x)) (+ (* -8 (/ (pow (+ 1 (* -1/2 x)) 2) (pow x 4))) (* 4 (/ 1 (pow x 4))))) x))))) (+ (* -8 (/ (pow (+ 1 (* -1/2 x)) 2) (pow x 4))) (* 4 (/ 1 (pow x 4)))))) (* 4 (/ (+ 1 (* -1/2 x)) (pow x 3))))) (* 2 (/ 1 (pow x 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)
(/ 1 (* n x))
(/ (+ (/ 1 x) (/ (log x) (* n x))) n)
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) (pow n 2))) (/ 1 x)) (* -1 (/ (log x) (* n x)))) n)
(/ (- (+ (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) x)) (+ (* 1/2 (/ (pow (log x) 3) x)) (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))))) (pow n 3))) (/ 1 x)) (+ (* -1 (/ (log x) (* n x))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) x))) (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x)))))) n)
(/ 1 x)
(+ (/ 1 x) (/ (log x) (* n x)))
(- (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) (pow n 2))) (/ 1 x)) (* -1 (/ (log x) (* n x))))
(- (+ (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) x)) (+ (* 1/2 (/ (pow (log x) 3) x)) (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))))) (pow n 3))) (/ 1 x)) (+ (* -1 (/ (log x) (* n x))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) x))) (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))))))
(+ 1 (/ (log x) n))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))) (pow n 2)))) (* -1 (/ (log x) n)))
(- (+ 1 (* -1 (/ (+ (* -1/6 (pow (log x) 3)) (+ (* 1/2 (pow (log x) 3)) (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))))) (pow n 3)))) (+ (* -1 (/ (log x) n)) (+ (* -1 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (pow (log x) 2) (pow n 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)
(/ (- (+ 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)
-1
(- (/ 1 n) 1)
(/ (+ (* 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)
(+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))
(+ (* 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)))))
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))
(* (pow n 2) (+ 1 (/ (* x (+ 1 (* -1/2 x))) n)))
(* (pow n 2) (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 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 (* -1 (/ (log x) n)))
(+ 1 (+ (* -1 (/ (log x) n)) (* 1/2 (/ (pow (log x) 2) (pow n 2)))))
(+ 1 (+ (* -1 (/ (log x) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (* 1/2 (/ (pow (log x) 2) (pow n 2))))))
(/ (+ 1 (* -1 (/ (* x (+ 1 (* -1/2 x))) n))) n)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2))) (* 1/2 (pow x 2))) (pow n 2)))) (/ (* x (+ 1 (* -1/2 x))) n)) n)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (* (+ 1 (* -1/2 x)) (+ (* -1 (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2))) (* 1/2 (pow x 2)))))) (* -1/2 (* (pow x 3) (+ 1 (* -1/2 x))))) (pow n 3)))) (+ (* -1 (/ (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow n 2))) (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))) 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 x) (* n x))) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))))) (+ (* -1/2 (/ (pow (log x) 3) x)) (* 1/6 (/ (pow (log x) 3) x)))) n)) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(+ (* -1 (/ (- (+ (* -1 (/ (pow (log x) 2) (* n x))) (* 1/2 (/ (pow (log x) 2) (* n x)))) (/ (log x) x)) n)) (/ 1 x))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (pow (log x) 3) (* n x))) (* 1/6 (/ (pow (log x) 3) (* n x))))) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))) n)) (/ (log x) x)) n)) (/ 1 x))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow (log x) 2) n))) (log x)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n)) (+ (* -1/2 (/ (pow (log x) 3) n)) (* 1/6 (/ (pow (log x) 3) n)))) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n)) (log x)) n)))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) (pow x 2))) (+ (* 1/6 (/ (pow (log x) 3) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2)))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) n))
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -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 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n))
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) x)) (+ (* 1/6 (pow (log x) 3)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x))))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n))
(* -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 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x))
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x))
(+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n)))
(* (pow n 2) (+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow 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)))
(+ 1 (* -1 (/ (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(* -1 (/ (- (/ (* x (+ 1 (* -1/2 x))) n) 1) n))
(* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (pow x 2) n)) (/ (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) n)) (* x (+ 1 (* -1/2 x)))) n)) 1) n))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (+ 1 (* -1/2 x))) n)) (/ (* x (* (+ 1 (* -1/2 x)) (+ (* -1/2 (pow x 2)) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2))))) n)) (+ (* -1/2 (pow x 2)) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))) n)) (* x (+ 1 (* -1/2 x)))) n)) 1) n))
Calls

6 calls:

TimeVariablePointExpression
33.0ms
n
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (/ 1 (pow x (/ -1 n))) x) n) (/ (/ 1 (pow x (/ -1 n))) x) (/ 1 (pow x (/ -1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/ (- 1 (/ 1/2 x)) n) (+ (* 2 (/ 1/2 n)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (/ -1 (* (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (neg n))) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (* (pow n -1) (/ (pow x (/ 1 n)) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (/ (pow x (/ 1 n)) x) (pow x (/ -1 n)) (/ 1/2 n) (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))))
27.0ms
x
@0
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (/ 1 (pow x (/ -1 n))) x) n) (/ (/ 1 (pow x (/ -1 n))) x) (/ 1 (pow x (/ -1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/ (- 1 (/ 1/2 x)) n) (+ (* 2 (/ 1/2 n)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (/ -1 (* (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (neg n))) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (* (pow n -1) (/ (pow x (/ 1 n)) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (/ (pow x (/ 1 n)) x) (pow x (/ -1 n)) (/ 1/2 n) (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))))
23.0ms
x
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (/ 1 (pow x (/ -1 n))) x) n) (/ (/ 1 (pow x (/ -1 n))) x) (/ 1 (pow x (/ -1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/ (- 1 (/ 1/2 x)) n) (+ (* 2 (/ 1/2 n)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (/ -1 (* (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (neg n))) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (* (pow n -1) (/ (pow x (/ 1 n)) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (/ (pow x (/ 1 n)) x) (pow x (/ -1 n)) (/ 1/2 n) (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))))
19.0ms
x
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (/ 1 (pow x (/ -1 n))) x) n) (/ (/ 1 (pow x (/ -1 n))) x) (/ 1 (pow x (/ -1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/ (- 1 (/ 1/2 x)) n) (+ (* 2 (/ 1/2 n)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (/ -1 (* (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (neg n))) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (* (pow n -1) (/ (pow x (/ 1 n)) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (/ (pow x (/ 1 n)) x) (pow x (/ -1 n)) (/ 1/2 n) (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))))
7.0ms
n
@0
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (/ 1 (pow x (/ -1 n))) x) n) (/ (/ 1 (pow x (/ -1 n))) x) (/ 1 (pow x (/ -1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/ (- 1 (/ 1/2 x)) n) (+ (* 2 (/ 1/2 n)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (/ -1 (* (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (neg n))) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (* (pow n -1) (/ (pow x (/ 1 n)) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (/ (pow x (/ 1 n)) x) (pow x (/ -1 n)) (/ 1/2 n) (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))))

simplify204.0ms (0.9%)

Memory
14.6MiB live, 259.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08764782
127304464
084174200
Stop Event
iter limit
node limit
Counts
169 → 169
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 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* x (exp (* -1 (/ (log x) n)))))
(/ 1 (exp (* -1 (/ (log x) n))))
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) (pow x 2))
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) x)
(/ -1/2 (* n x))
(/ (- (/ x n) (* 1/2 (/ 1 n))) x)
(/ (exp (* (log x) (- (/ 1 n) 1))) n)
(exp (* (log x) (- (/ 1 n) 1)))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(pow n 2)
(+ (* n x) (pow n 2))
(+ (* x (+ n (* x (+ 1/2 (* -1/2 n))))) (pow n 2))
(+ 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)) (* n x))
(/ (exp (/ (log x) n)) x)
(exp (* -1 (/ (log x) n)))
(/ 1 n)
(+ (* -1 (/ x (pow n 2))) (/ 1 n))
(+ (* x (- (* x (+ (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 (pow n 3))))) (/ 1 (pow n 2)))) (/ 1 n))
(+ (* x (- (* x (+ (* -1 (* x (+ (* -1 (/ (+ 1/2 (* -1/2 n)) (pow n 4))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))))) (+ (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 (pow n 3)))))) (/ 1 (pow n 2)))) (/ 1 n))
(/ (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 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/ 1 (* x (exp (/ (log (/ 1 x)) n))))
(/ 1 (exp (/ (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 (pow n 2))) (* 1/2 (/ 1 n)))) x))
(- (/ 1 n) (* 1/2 (/ 1 (* n x))))
(/ (exp (* -1 (* (log (/ 1 x)) (- (/ 1 n) 1)))) n)
(exp (* -1 (* (log (/ 1 x)) (- (/ 1 n) 1))))
(/ (* (pow x 2) (+ 1/2 (* -1/2 n))) (pow n 2))
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (pow x 2))))))
(* (pow x 2) (+ 1/2 (* -1/2 n)))
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (+ (/ n x) (/ (pow n 2) (pow x 2))))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
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(/ (exp (* -1 (/ (log (/ 1 x)) n))) x)
(exp (/ (log (/ 1 x)) n))
(/ n (* (pow x 2) (+ 1/2 (* -1/2 n))))
(/ (+ (* -1 (/ (pow n 2) (* x (pow (+ 1/2 (* -1/2 n)) 2)))) (/ n (+ 1/2 (* -1/2 n)))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 3))) (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 2))) (pow x 2))) (/ n (+ 1/2 (* -1/2 n)))) (/ (pow n 2) (* x (pow (+ 1/2 (* -1/2 n)) 2)))) (pow x 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* n (+ (* -1 (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 3))) (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 2)))) (+ 1/2 (* -1/2 n)))) (* -1 (/ (pow n 4) (pow (+ 1/2 (* -1/2 n)) 3)))) (pow x 3))) (/ n (+ 1/2 (* -1/2 n)))) (+ (* -1 (/ (pow n 3) (* (pow x 2) (pow (+ 1/2 (* -1/2 n)) 3)))) (+ (/ (pow n 2) (* x (pow (+ 1/2 (* -1/2 n)) 2))) (/ (pow n 3) (* (pow x 2) (pow (+ 1/2 (* -1/2 n)) 2)))))) (pow 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 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ 1 (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))
(/ 1 (exp (* -1 (/ (+ (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 (pow n 2))) (* 1/2 (/ 1 n)))) x))
(/ (exp (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (/ 1 n) 1))) n)
(exp (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (/ 1 n) 1)))
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (+ (* -1 n) (* -1 (/ (pow n 2) x))) x)) (* -1/2 n))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
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(+ (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) (* -1 (log (/ -1 x)))) n)) x)
(exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow n 3) (* x (pow (+ 1/2 (* -1/2 n)) 3)))) (/ (pow n 3) (* x (pow (+ 1/2 (* -1/2 n)) 2)))) (* -1 (/ (pow n 2) (pow (+ 1/2 (* -1/2 n)) 2)))) x)) (/ n (+ 1/2 (* -1/2 n)))) (pow x 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* n (+ (* -1 (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 3))) (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 2)))) (* x (+ 1/2 (* -1/2 n)))) (/ (pow n 4) (* x (pow (+ 1/2 (* -1/2 n)) 3)))) (+ (* -1 (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 3))) (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 2)))) x)) (* -1 (/ (pow n 2) (pow (+ 1/2 (* -1/2 n)) 2)))) x)) (/ n (+ 1/2 (* -1/2 n)))) (pow x 2))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(* 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 (/ (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 (* 1/2 (/ 1 x))) n)
(/ (+ 1 (* -1 n)) n)
(* 1/2 (/ (pow x 2) (pow n 2)))
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(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
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(/ 1 (* n x))
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(/ (- (+ (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) x)) (+ (* 1/2 (/ (pow (log x) 3) x)) (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))))) (pow n 3))) (/ 1 x)) (+ (* -1 (/ (log x) (* n x))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) x))) (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x)))))) n)
(/ 1 x)
(+ (/ 1 x) (/ (log x) (* n x)))
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(+ 1 (/ (log x) n))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))) (pow n 2)))) (* -1 (/ (log x) n)))
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(/ (- (+ (* -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)
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(/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* -1/12 (/ (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)
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(/ (- (+ 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)
-1
(- (/ 1 n) 1)
(/ (+ (* 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)
(+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))
(+ (* 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)))))
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))
(* (pow n 2) (+ 1 (/ (* x (+ 1 (* -1/2 x))) n)))
(* (pow n 2) (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n))))
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(+ 1 (+ (* -1 (/ (log x) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (* 1/2 (/ (pow (log x) 2) (pow n 2))))))
(/ (+ 1 (* -1 (/ (* x (+ 1 (* -1/2 x))) n))) n)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2))) (* 1/2 (pow x 2))) (pow n 2)))) (/ (* x (+ 1 (* -1/2 x))) n)) n)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (* (+ 1 (* -1/2 x)) (+ (* -1 (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2))) (* 1/2 (pow x 2)))))) (* -1/2 (* (pow x 3) (+ 1 (* -1/2 x))))) (pow n 3)))) (+ (* -1 (/ (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow n 2))) (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
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(* -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 x) (* n x))) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))))) (+ (* -1/2 (/ (pow (log x) 3) x)) (* 1/6 (/ (pow (log x) 3) x)))) n)) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(+ (* -1 (/ (- (+ (* -1 (/ (pow (log x) 2) (* n x))) (* 1/2 (/ (pow (log x) 2) (* n x)))) (/ (log x) x)) n)) (/ 1 x))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (pow (log x) 3) (* n x))) (* 1/6 (/ (pow (log x) 3) (* n x))))) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))) n)) (/ (log x) x)) n)) (/ 1 x))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow (log x) 2) n))) (log x)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n)) (+ (* -1/2 (/ (pow (log x) 3) n)) (* 1/6 (/ (pow (log x) 3) n)))) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n)) (log x)) n)))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) (pow x 2))) (+ (* 1/6 (/ (pow (log x) 3) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2)))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) n))
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -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 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n))
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) x)) (+ (* 1/6 (pow (log x) 3)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x))))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n))
(* -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 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x))
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x))
(+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n)))
(* (pow n 2) (+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow 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)))
(+ 1 (* -1 (/ (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(* -1 (/ (- (/ (* x (+ 1 (* -1/2 x))) n) 1) n))
(* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (pow x 2) n)) (/ (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) n)) (* x (+ 1 (* -1/2 x)))) n)) 1) n))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (+ 1 (* -1/2 x))) n)) (/ (* x (* (+ 1 (* -1/2 x)) (+ (* -1/2 (pow x 2)) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2))))) n)) (+ (* -1/2 (pow x 2)) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))) n)) (* x (+ 1 (* -1/2 x)))) n)) 1) 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 n n)) (/.f64 #s(literal 1/2 binary64) 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)))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.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 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/ 1 (* x (exp (* -1 (/ (log x) n)))))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)
(/ 1 (exp (* -1 (/ (log x) n))))
(exp.f64 (/.f64 (log.f64 x) n))
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)))
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) (pow x 2))
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(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 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))
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) x)
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(/ -1/2 (* n x))
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(/ (- (/ x n) (* 1/2 (/ 1 n))) x)
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(/ (exp (* (log x) (- (/ 1 n) 1))) n)
(/.f64 (pow.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))) n)
(exp (* (log x) (- (/ 1 n) 1)))
(pow.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
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(+ 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))
(pow n 2)
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(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) x n) x (*.f64 n 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))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.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)) (* n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/ (exp (/ (log x) n)) x)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)
(exp (* -1 (/ (log x) n)))
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(/ 1 n)
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(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1/2 (/ (log x) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n))
(/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (-.f64 (log.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (log.f64 x) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) n)) (fma.f64 (/.f64 (log.f64 x) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) n)) #s(literal -1 binary64) #s(literal 1 binary64)) n)
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) x)) (+ (* 1/6 (pow (log x) 3)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x))))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (-.f64 (fma.f64 (/.f64 (log.f64 x) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (log.f64 x) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (neg.f64 n)))) n)) (log.f64 x)) n)) #s(literal 1 binary64)) (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)) x) n) #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)) x) n) #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))
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (neg.f64 (log.f64 x)) x)) n))
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) n) #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) (neg.f64 n)) (/.f64 (log.f64 x) x)) n))
(+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x x) n) #s(literal -1/2 binary64))) n))
(* (pow n 2) (+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x x) n) #s(literal -1/2 binary64))) n)) (*.f64 n 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 (/.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))) (neg.f64 n)) (log1p.f64 x)) n))
(+ 1 (* -1 (/ (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (log.f64 x)) n))
(+ 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 (log.f64 x) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n)) n))
(* -1 (/ (- (/ (* x (+ 1 (* -1/2 x))) n) 1) n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) n)) n)
(* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (pow x 2) n)) (/ (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) n)) (* x (+ 1 (* -1/2 x)))) n)) 1) n))
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) n) (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x x) n) #s(literal -1/2 binary64)))) (neg.f64 n)) #s(literal -1 binary64) #s(literal 1 binary64)) n)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (+ 1 (* -1/2 x))) n)) (/ (* x (* (+ 1 (* -1/2 x)) (+ (* -1/2 (pow x 2)) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2))))) n)) (+ (* -1/2 (pow x 2)) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))) n)) (* x (+ 1 (* -1/2 x)))) n)) 1) n))
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) n)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 n)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) (neg.f64 n)) #s(literal -1 binary64) #s(literal 1 binary64)) n)

rewrite203.0ms (0.9%)

Memory
-21.6MiB live, 267.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060445
093440
1406410
23402410
09083391
Stop Event
iter limit
node limit
iter limit
Counts
23 → 681
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x)
(/.f64 #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 (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
(/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)
#s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
(/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)
(pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n)))))
(*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.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)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
(pow.f64 n #s(literal -1 binary64))
#s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) n))
(*.f64 (pow.f64 (/.f64 (neg.f64 n) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64))
(*.f64 (*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 (*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64))) (*.f64 (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64)) n))
(*.f64 (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 n #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) n))
(*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) (pow.f64 n #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) n))
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 (*.f64 n x) #s(literal -1 binary64)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) n))
(pow.f64 (*.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 n x) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 n x) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n) #s(literal -1 binary64))
(pow.f64 (/.f64 n (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64))) (neg.f64 n))
(/.f64 (neg.f64 (*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64))) (neg.f64 n))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 n #s(literal -1 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 x) (neg.f64 n))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) n)))
(/.f64 (neg.f64 (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 x (neg.f64 n))))
(/.f64 (/.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64)) n)
(/.f64 (*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) (neg.f64 n))
(/.f64 (*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64)) n)
(/.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 n #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (neg.f64 n)))
(/.f64 (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 x (neg.f64 n)))
(/.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 x) n))
(/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (*.f64 n (neg.f64 x)))
(/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (neg.f64 (*.f64 n x)))
(/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (neg.f64 x)) (neg.f64 (neg.f64 (neg.f64 n))))
(/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (neg.f64 x)) (neg.f64 n))
(/.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) (neg.f64 (neg.f64 n)))
(/.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) n)
(/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)
(/.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 n x) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 n x) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 n (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 n x) (neg.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
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(pow.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (neg.f64 (pow.f64 n #s(literal -1/2 binary64))))
(pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 n #s(literal -1 binary64))))
(pow.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)))
(pow.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) n))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))
(pow.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 x (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))))
(pow.f64 x (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64))))
(pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) n)))
(pow.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) n)))
(pow.f64 x (/.f64 #s(literal -1 binary64) n))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n))) #s(literal -1 binary64))
(/.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 x) (/.f64 #s(literal -1/2 binary64) n) (*.f64 (log.f64 x) (/.f64 #s(literal -1/2 binary64) n))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x (/.f64 #s(literal -1/2 binary64) n))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) (pow.f64 n #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) n))))
(exp.f64 (*.f64 (log.f64 x) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) n))))
(exp.f64 (/.f64 (log.f64 x) (neg.f64 n)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64))
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n))
(pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 n))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 n))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 n)))
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) n))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 n #s(literal 2 binary64))))
(/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 n))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 n #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 n #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) n))
(exp.f64 (*.f64 (log.f64 (*.f64 n #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 n (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(*.f64 (/.f64 n (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #s(literal -1 binary64)) n)
(*.f64 (neg.f64 n) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 n (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))))
(*.f64 n (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))
(pow.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 n))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))))
(/.f64 (neg.f64 (neg.f64 n)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))))
(/.f64 (neg.f64 n) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)))
(/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))
(neg.f64 (/.f64 (neg.f64 n) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))
(neg.f64 (/.f64 n (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) (/.f64 n (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)) #s(literal -1 binary64)))

eval144.0ms (0.6%)

Memory
24.3MiB live, 177.8MiB allocated
Compiler

Compiled 32 770 to 3 618 computations (89% saved)

prune40.0ms (0.2%)

Memory
-22.3MiB live, 88.7MiB allocated
Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New69110701
Fresh31215
Picked415
Done145
Total69927726
Accuracy
99.8%
Counts
726 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.1%
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
31.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
32.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
25.9%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
32.3%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
38.1%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
20.3%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
13.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
27.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
40.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
48.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
61.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))))))
62.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n))
58.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
61.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
42.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) n))
48.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))
42.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
40.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))) x)) x))
34.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
21.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x))
33.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)))))
41.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))))
61.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)))
34.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))))
42.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
34.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)))
Compiler

Compiled 2 849 to 876 computations (69.3% saved)

regimes55.0ms (0.2%)

Memory
10.7MiB live, 96.9MiB allocated
Counts
45 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 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))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))
(-.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 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 (fma.f64 (+.f64 (/.f64 n x) #s(literal 1 binary64)) (/.f64 n x) (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64))) (*.f64 x x))) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) (*.f64 x x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (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 (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 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (log.f64 x) x) (+.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) n)) (neg.f64 n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.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 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))) x)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (fma.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) #s(literal -1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 n n))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)))
#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 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

15.0ms
x
14.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
12.0ms
(/.f64 #s(literal 1 binary64) n)
12.0ms
n
Results
AccuracySegmentsBranch
80.5%4x
86.3%4n
82.6%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
87.5%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes18.0ms (0.1%)

Memory
-10.8MiB live, 26.8MiB allocated
Counts
39 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 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))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))
(-.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 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 (fma.f64 (+.f64 (/.f64 n x) #s(literal 1 binary64)) (/.f64 n x) (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64))) (*.f64 x x))) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) (*.f64 x x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (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 (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 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)))
#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 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

15.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
87.5%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes12.0ms (0.1%)

Memory
23.1MiB live, 23.1MiB allocated
Counts
38 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 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))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))
(-.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 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 (fma.f64 (+.f64 (/.f64 n x) #s(literal 1 binary64)) (/.f64 n x) (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64))) (*.f64 x x))) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) (*.f64 x x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (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 (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 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) 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 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

10.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
87.5%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes47.0ms (0.2%)

Memory
-2.4MiB live, 35.2MiB allocated
Counts
34 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 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))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))
(-.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 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 (fma.f64 (+.f64 (/.f64 n x) #s(literal 1 binary64)) (/.f64 n x) (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64))) (*.f64 x x))) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) (*.f64 x x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) 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 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

2 calls:

36.0ms
(/.f64 #s(literal 1 binary64) n)
9.0ms
n
Results
AccuracySegmentsBranch
84.9%5n
84.9%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes79.0ms (0.3%)

Memory
-22.1MiB live, 87.1MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 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))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))
(-.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 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 (fma.f64 (+.f64 (/.f64 n x) #s(literal 1 binary64)) (/.f64 n x) (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64))) (*.f64 x x))) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) (*.f64 x x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

48.0ms
(/.f64 #s(literal 1 binary64) n)
13.0ms
n
9.0ms
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
72.0%2x
73.2%3n
73.2%2(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
73.2%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes16.0ms (0.1%)

Memory
-10.1MiB live, 26.4MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 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))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))
(-.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 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

2 calls:

10.0ms
(/.f64 #s(literal 1 binary64) n)
5.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
72.1%2(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
72.1%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 16 to 12 computations (25% saved)

regimes16.0ms (0.1%)

Memory
-8.7MiB live, 28.2MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 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))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))
(-.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 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
Calls

2 calls:

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)))
6.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
71.3%2(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
73.6%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 16 to 12 computations (25% saved)

regimes6.0ms (0%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 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))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))
(-.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 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
Calls

1 calls:

5.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
73.6%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes10.0ms (0%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 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))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))
(-.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 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
Calls

2 calls:

5.0ms
(/.f64 #s(literal 1 binary64) n)
5.0ms
x
Results
AccuracySegmentsBranch
71.4%2x
73.5%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes5.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 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))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))
(-.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 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
Calls

1 calls:

4.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
73.3%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes46.0ms (0.2%)

Memory
-30.2MiB live, 19.9MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 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))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))
(-.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 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))))
Outputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))
Calls

4 calls:

36.0ms
(/.f64 #s(literal 1 binary64) n)
3.0ms
n
3.0ms
x
3.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
60.8%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)))
61.1%2x
62.1%5n
62.1%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes11.0ms (0%)

Memory
21.3MiB live, 21.3MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 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))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))
Outputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
Calls

4 calls:

3.0ms
x
3.0ms
n
3.0ms
(/.f64 #s(literal 1 binary64) n)
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
56.0%3n
58.3%4(/.f64 #s(literal 1 binary64) n)
56.0%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
56.5%2x
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes100.0ms (0.4%)

Memory
-15.6MiB live, 22.3MiB allocated
Accuracy

Total -15.0b remaining (-40.7%)

Threshold costs -15b (-40.7%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 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))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
Calls

4 calls:

91.0ms
x
4.0ms
(/.f64 #s(literal 1 binary64) n)
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)))
2.0ms
n
Results
AccuracySegmentsBranch
42.4%1n
42.4%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)))
42.4%1(/.f64 #s(literal 1 binary64) n)
42.4%1x
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2863523902448647e-5
0.0015219863891652876
0.0ms
9.990834020154594e-69
1.360059441800403e-68
0.0ms
-3.832976412964314e-176
-1.2362451294090247e-189
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2863523902448647e-5
0.0015219863891652876
0.0ms
9.990834020154594e-69
1.360059441800403e-68
0.0ms
-3.832976412964314e-176
-1.2362451294090247e-189
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2863523902448647e-5
0.0015219863891652876
0.0ms
9.990834020154594e-69
1.360059441800403e-68
0.0ms
-3.832976412964314e-176
-1.2362451294090247e-189
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2863523902448647e-5
0.0015219863891652876
0.0ms
9.990834020154594e-69
1.360059441800403e-68
0.0ms
-3.832976412964314e-176
-1.2362451294090247e-189
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2863523902448647e-5
0.0015219863891652876
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2863523902448647e-5
0.0015219863891652876
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2236268926995433e+177
1.4422536832357302e+182
0.0ms
1.2863523902448647e-5
0.0015219863891652876
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2236268926995433e+177
1.4422536832357302e+182
0.0ms
1.2863523902448647e-5
0.0015219863891652876
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2236268926995433e+177
1.4422536832357302e+182
0.0ms
1.2863523902448647e-5
0.0015219863891652876
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2236268926995433e+177
1.4422536832357302e+182
0.0ms
1.2863523902448647e-5
0.0015219863891652876
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch65.0ms (0.3%)

Memory
-27.5MiB live, 46.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
36.0ms
9.570835275572036e-6
2.4240081829810425
Samples
15.0ms40×2valid
9.0ms49×1valid
5.0ms55×0valid
1.0ms0exit
Compiler

Compiled 412 to 265 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-pow: 17.0ms (68.2% of total)
adjust: 3.0ms (12% of total)
ival-div: 2.0ms (8% of total)
ival-add: 1.0ms (4% of total)
ival-sub: 1.0ms (4% 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
3.3MiB live, 3.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
9.570835275572036e-6
2.4240081829810425
Compiler

Compiled 592 to 355 computations (40% saved)

simplify81.0ms (0.3%)

Memory
-0.7MiB live, 45.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
01421159
11881159
22691159
34991159
410591154
521011153
638821149
760861149
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4856672230564323/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4856672230564323/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4856672230564323/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4856672230564323/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000000014897961004148639782883989877166307744719285082625279704935632320527439752747814116816931205205569292567450867665619546366181138482232477674193077794720878428160 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000000014897961004148639782883989877166307744719285082625279704935632320527439752747814116816931205205569292567450867665619546366181138482232477674193077794720878428160 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000000014897961004148639782883989877166307744719285082625279704935632320527439752747814116816931205205569292567450867665619546366181138482232477674193077794720878428160 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000000014897961004148639782883989877166307744719285082625279704935632320527439752747814116816931205205569292567450867665619546366181138482232477674193077794720878428160 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))))
(if (<=.f64 x #s(literal 1 binary64)) (-.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 (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n)))
(if (<=.f64 x #s(literal 1 binary64)) (-.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 (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 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))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
Outputs
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(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4856672230564323/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)) x)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4856672230564323/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4856672230564323/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)) x)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4856672230564323/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) n)) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4856672230564323/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)) x)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4856672230564323/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) n)) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4856672230564323/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)) x)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (pow.f64 n #s(literal -1 binary64))) x #s(literal 1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64)) x) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (pow.f64 n #s(literal -1 binary64))) x #s(literal 1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64)) x) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))) n))

soundness1.8s (7.4%)

Memory
40.2MiB live, 789.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02631455
17611349
221611275
376301269
089151165
0831
01331
16331
240731
3433531
0842427
052390
079384
1346366
22929366
09566342
06483533
119083287
256613234
086343042
032284
056272
1252256
22138256
08308256
060445
093440
1406410
23402410
09083391
05803104
117162932
248982760
081582565
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 2 018 to 717 computations (64.5% saved)

preprocess231.0ms (1%)

Memory
-30.4MiB live, 122.6MiB allocated
Compiler

Compiled 2 344 to 300 computations (87.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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