2nthrt (problem 3.4.6)

Time bar (total: 24.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze262.0ms (1.1%)

Memory
-15.3MiB live, 259.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.5%62.4%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
45.2%43.7%53.1%0.1%0%3.1%0%7
45.2%43.7%53.1%0.1%0%3.1%0%8
50.8%46.8%45.3%0.1%0%7.8%0%9
50.8%46.8%45.3%0.1%0%7.8%0%10
53.9%48.4%41.4%0.1%0%10.1%0%11
53.9%48.4%41.4%0.1%0%10.1%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample14.7s (61.1%)

Memory
90.5MiB live, 13 414.9MiB allocated
Samples
9.2s4 893×5exit
1.4s2 830×2valid
1.2s2 900×1valid
596.0ms2 282×1exit
459.0ms2 526×0valid
192.0ms1 548×0exit
13.0ms7×4exit
7.0ms5×3exit
4.0ms5×2exit
Precisions
Click to see histograms. Total time spent on operations: 11.9s
ival-pow: 9.4s (78.9% of total)
adjust: 1.3s (11.2% of total)
ival-div: 517.0ms (4.3% of total)
ival-add: 314.0ms (2.6% of total)
ival-sub: 305.0ms (2.6% of total)
ival-true: 16.0ms (0.1% of total)
exact: 12.0ms (0.1% of total)
ival-assert: 8.0ms (0.1% of total)
Bogosity

explain288.0ms (1.2%)

Memory
-7.7MiB live, 314.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1160-0-(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
4224(8.594263545422918e-283 -1.3587672622211022e-153)0-(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(pow.f64 x (/.f64 #s(literal 1 binary64) n))
00-0-n
00-0-(/.f64 #s(literal 1 binary64) n)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))cancellation1160
pow.f64(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))sensitivity660
Confusion
Predicted +Predicted -
+1370
-4574
Precision
0.7527472527472527
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13700
-45074
Precision?
0.7527472527472527
Recall?
1.0
Freqs
test
numberfreq
074
1182
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
124.0ms162×2valid
59.0ms244×1valid
9.0ms106×0valid
Compiler

Compiled 119 to 36 computations (69.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
ival-pow: 74.0ms (50.3% of total)
ival-add: 43.0ms (29.2% of total)
adjust: 16.0ms (10.9% of total)
ival-div: 9.0ms (6.1% of total)
ival-sub: 5.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess45.0ms (0.2%)

Memory
8.4MiB live, 44.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.9%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify8.0ms (0%)

Memory
13.2MiB live, 13.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize84.0ms (0.4%)

Memory
-10.2MiB live, 149.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 1 binary64) n)
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy9.987725745649763
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy25.706886444086155
(-.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
37.0ms81×2valid
34.0ms122×1valid
5.0ms53×0valid
Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-pow: 42.0ms (67.8% of total)
ival-div: 7.0ms (11.3% of total)
adjust: 7.0ms (11.3% of total)
ival-add: 3.0ms (4.8% of total)
ival-sub: 3.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0%)

Memory
17.8MiB live, 17.8MiB allocated
Counts
4 → 43
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) n)
Outputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 x)
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
x
(* x (+ 1 (/ 1 x)))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(exp (/ (log (+ 1 x)) n))
(/ 1 n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n))
2.0ms
x
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n))
1.0ms
n
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n))
1.0ms
n
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n))
1.0ms
x
@0
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n))

simplify160.0ms (0.7%)

Memory
-2.9MiB live, 223.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02401354
18061236
230711177
088941077
Stop Event
1×iter limit
1×node limit
Counts
43 → 42
Calls
Call 1
Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 x)
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
x
(* x (+ 1 (/ 1 x)))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(exp (/ (log (+ 1 x)) n))
(/ 1 n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
Outputs
(- 1 (exp (/ (log x) n)))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
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1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
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(+ 1 x)
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(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
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(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
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(exp (* -1 (/ (log (/ 1 x)) n)))
(exp.f64 (/.f64 (log.f64 x) n))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (exp.f64 (/.f64 (log.f64 x) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x) (exp.f64 (/.f64 (log.f64 x) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(+.f64 (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x) (exp.f64 (/.f64 (log.f64 x) n)))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n)) (neg.f64 x)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
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(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 n x)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n)) (neg.f64 x)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
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(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
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(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
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(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
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(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n) (log1p.f64 x))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n) (log1p.f64 x))) (neg.f64 n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n) #s(literal 1 binary64)))

rewrite284.0ms (1.2%)

Memory
2.2MiB live, 214.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
01326
16426
244126
3504826
0829422
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 330
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) n)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) #s(literal 3 binary64)) (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))))) (fma.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) (-.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (-.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))))
(*.f64 (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))))
(*.f64 (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.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)))) (/.f64 #s(literal 1 binary64) (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)))))))
(*.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 #s(literal 1 binary64) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 8 binary64))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 8 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) n))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 9 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 18 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
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(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 n))) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) n))
(fabs.f64 (pow.f64 n #s(literal -1 binary64)))
(+.f64 (cosh.f64 (log.f64 n)) (sinh.f64 (neg.f64 (log.f64 n))))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
(exp.f64 (*.f64 (log.f64 (*.f64 n n)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 n #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 n)))

eval110.0ms (0.5%)

Memory
-7.6MiB live, 66.4MiB allocated
Compiler

Compiled 12 693 to 1 498 computations (88.2% saved)

prune24.0ms (0.1%)

Memory
-5.3MiB live, 33.7MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New41317430
Fresh000
Picked101
Done000
Total41417431
Accuracy
99.8%
Counts
431 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.6%
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
59.6%
(fma.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
20.3%
(/.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 (+.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)))))
20.2%
(/.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 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
46.7%
(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
59.8%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
16.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
22.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
29.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶36.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶33.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
▶41.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
67.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n))
60.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
72.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
▶78.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
▶57.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
Compiler

Compiled 1 044 to 626 computations (40% saved)

simplify139.0ms (0.6%)

Memory
32.5MiB live, 109.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (/.f64 (log.f64 x) n))
cost-diff0
(fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
cost-diff0
(/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x)
cost-diff0
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
cost-diff5
(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
cost-diff0
(/.f64 (log.f64 x) n)
cost-diff0
(exp.f64 (/.f64 (log.f64 x) n))
cost-diff0
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
cost-diff0
(/.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
(log.f64 x)
cost-diff0
(-.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)))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
cost-diff1
(/.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))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059744
0103744
1184744
2451744
31889727
08332727
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (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)))
(/.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))
(-.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)))
(log.f64 x)
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))
(/.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)
(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)))
#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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
(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))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
#s(literal 1/2 binary64)
(neg.f64 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
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
(*.f64 n x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
x
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
(/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x)
(-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))
#s(literal 1/6 binary64)
(pow.f64 n #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal -1/3 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal -1/2 binary64)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) (log.f64 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))
(/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) (log.f64 x)) n)
(-.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)))
(-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)))
(log.f64 x)
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))
(+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x))
(/.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)
(/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)
(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)))
(fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
#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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
(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))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
#s(literal 1/2 binary64)
(neg.f64 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
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
(*.f64 n x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(/.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
x
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 (/.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))
(/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 (/.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)
(fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
(fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 (/.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))
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) x)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x)
(-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))
#s(literal 1/6 binary64)
(pow.f64 n #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal -1/3 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)

localize403.0ms (1.7%)

Memory
-22.7MiB live, 486.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.8046875000000004
(-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
accuracy5.367148280773911
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
accuracy11.32415545265745
(fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
accuracy26.35865488658093
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
accuracy0.19140625
(/.f64 (log.f64 x) n)
accuracy2.382126265995161
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x)
accuracy8.824170588978493
(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
accuracy27.042188115144683
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
accuracy0.0
(exp.f64 (/.f64 (log.f64 x) n))
accuracy0.19140625
(/.f64 (log.f64 x) n)
accuracy4.077362895717582
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
accuracy26.234324568976692
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
accuracy0.0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy0.0
(/.f64 #s(literal 1 binary64) n)
accuracy15.45620340270779
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy25.706886444086155
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy12.781050675354289
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
accuracy17.216009570290996
(-.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)))
accuracy24.379938903934526
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
accuracy24.392019525789593
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
Samples
168.0ms124×1valid
144.0ms82×2valid
21.0ms39×0exit
5.0ms11×0valid
Compiler

Compiled 1 423 to 116 computations (91.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 285.0ms
ival-pow: 76.0ms (26.7% of total)
ival-div: 47.0ms (16.5% of total)
adjust: 44.0ms (15.4% of total)
ival-mult: 33.0ms (11.6% of total)
ival-log: 18.0ms (6.3% of total)
ival-add: 16.0ms (5.6% of total)
ival-log1p: 13.0ms (4.6% of total)
const: 12.0ms (4.2% of total)
ival-sub: 10.0ms (3.5% of total)
ival-pow2: 9.0ms (3.2% of total)
ival-exp: 3.0ms (1.1% of total)
ival-neg: 1.0ms (0.4% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series248.0ms (1%)

Memory
43.5MiB live, 310.6MiB allocated
Counts
23 → 213
Calls
Call 1
Inputs
(/.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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
(-.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)))
(log.f64 x)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
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(/.f64 (log.f64 x) n)
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(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x)
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Outputs
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))
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(- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
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(- (+ (log x) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (+ (log x) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(log x)
1
(+ 1 (/ x n))
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(exp (/ (log x) n))
(/ (exp (/ (log x) n)) (* n x))
(/ (log x) n)
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(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) x)
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n (pow x 2)))
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(/ (+ (* x (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (pow x 3))
(/ (+ (* x (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n))) (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (pow x 3))
(/ (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))
(/ (+ (* x (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (pow x 2))
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(/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))
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(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))))) x)
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(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
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(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 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)
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(* -1 (log (/ 1 x)))
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(* -1 (/ (log (/ 1 x)) n))
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(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 n)) 1/2)) (* 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))
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(/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) x)
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(- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))
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(/ -1/2 (* n x))
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(/ (- (+ (* 1/3 (/ 1 x)) (+ (/ 1/6 (* (pow n 2) x)) (* 1/2 (/ 1 n)))) (+ 1/2 (/ 1/2 (* n x)))) n)
(/ 1/3 n)
(/ (- 1/3 (* 1/2 (/ 1 n))) n)
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(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
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(* -1 (/ (- (+ (* -1 (/ (- (+ (log x) (+ (* -1 (/ (* (log x) (- 1/2 (* 1/3 (/ 1 x)))) x)) (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- 1/2 (* 1/2 (/ 1 x)))) x)) (+ (* -1 (/ (+ (* -1/6 (/ (* (pow (log x) 3) (- 1/2 (* 1/3 (/ 1 x)))) x)) (+ (* 1/6 (/ (log x) (pow x 2))) (+ (* 1/6 (pow (log x) 3)) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/2 (/ 1 x)))) x))))) n)) (+ (* -1/2 (pow (log x) 2)) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x)))) x))))) (* 1/6 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))
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Calls

6 calls:

TimeVariablePointExpression
61.0ms
x
@-inf
((/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (log x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)))
52.0ms
x
@inf
((/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (log x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)))
52.0ms
n
@0
((/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (log x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)))
33.0ms
x
@0
((/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (log x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)))
20.0ms
n
@inf
((/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (log x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)))

simplify183.0ms (0.8%)

Memory
-14.8MiB live, 214.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014119384
151138561
082798138
Stop Event
1×iter limit
1×node limit
Counts
213 → 213
Calls
Call 1
Inputs
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(+ 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)))
(* -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 (/ (- (* 1/2 (/ 1 x)) 1) n))
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n))
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x)))) (* -1/2 (pow (log x) 2))) n)))) n)) (* 1/2 (/ 1 x))) 1) n))
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x)))) (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x)))) (* 1/6 (pow (log x) 3))) n)) (* -1/2 (pow (log x) 2)))) n)))) n)) (* 1/2 (/ 1 x))) 1) n))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x)) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x))) x)) (* 1/6 (/ (pow (log x) 3) x))) n)) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x)))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (* n x)))) n))
(* -1 (/ (- (* 1/2 (/ 1 x)) (+ 1 (* 1/3 (/ 1 (pow x 2))))) (* n x)))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- 1/2 (* 1/3 (/ 1 x)))) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x))) (* 1/2 (/ 1 (pow x 3)))) n)) (/ 1/2 (pow x 2))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- 1/2 (* 1/3 (/ 1 x)))) (pow x 2))) (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- 1/2 (* 1/2 (/ 1 x)))) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x)))) (pow x 2))))) (* 1/6 (/ 1 (pow x 3)))) n)) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) (* 1/2 (/ 1 (pow x 3)))) n)) (/ 1/2 (pow x 2))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- 1/2 (* 1/3 (/ 1 x)))) (pow x 2))) (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- 1/2 (* 1/2 (/ 1 x)))) (pow x 2))) (+ (* -1 (/ (+ (* -1/6 (/ (* (pow (log x) 3) (- 1/2 (* 1/3 (/ 1 x)))) (pow x 2))) (+ (* 1/6 (/ (log x) (pow x 3))) (+ (* 1/6 (/ (pow (log x) 3) x)) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/2 (/ 1 x)))) (pow x 2)))))) n)) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x)))) (pow x 2)))))) (* 1/6 (/ 1 (pow x 3)))) n)) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) (* 1/2 (/ 1 (pow x 3)))) n)) (/ 1/2 (pow x 2))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) n))
(* -1 (/ (- (* 1/2 (/ 1 x)) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (log x) (+ (* -1 (/ (* (log x) (- 1/2 (* 1/3 (/ 1 x)))) x)) (* 1/2 (/ 1 x)))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (log x) (+ (* -1 (/ (* (log x) (- 1/2 (* 1/3 (/ 1 x)))) x)) (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- 1/2 (* 1/2 (/ 1 x)))) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x)))) x)))) (* 1/6 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (log x) (+ (* -1 (/ (* (log x) (- 1/2 (* 1/3 (/ 1 x)))) x)) (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- 1/2 (* 1/2 (/ 1 x)))) x)) (+ (* -1 (/ (+ (* -1/6 (/ (* (pow (log x) 3) (- 1/2 (* 1/3 (/ 1 x)))) x)) (+ (* 1/6 (/ (log x) (pow x 2))) (+ (* 1/6 (pow (log x) 3)) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/2 (/ 1 x)))) x))))) n)) (+ (* -1/2 (pow (log x) 2)) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x)))) x))))) (* 1/6 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))
(* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) n))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) n))) (* 1/3 (/ 1 x))) n))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (+ 1/2 (* 1/6 (/ 1 (* n x)))) (* 1/2 (/ 1 x))) n))) (* 1/3 (/ 1 x))) n))
(* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))
Outputs
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))
(/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))) x) n)
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
(-.f64 (*.f64 (fma.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) x) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))) n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))
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(- 1 (exp (/ (log x) n)))
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(- (+ 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)))
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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)))) (exp (/ (log x) n)))
(-.f64 (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.f64 (/.f64 (log.f64 x) n)))
(- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))
(- (+ (log x) (* -1 x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(-.f64 (-.f64 (log.f64 x) x) (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))))
(- (+ (log x) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) x #s(literal -1 binary64)) x (log.f64 x)) (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))))
(- (+ (log x) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x #s(literal -1 binary64)) x (log.f64 x)) (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))))
(log x)
(log.f64 x)
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 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))
(exp.f64 (/.f64 (log.f64 x) n))
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/ (log x) n)
(/.f64 (log.f64 x) n)
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n x))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) (*.f64 n x))
(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) x)
(/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n) x)
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n (pow x 2)))
(*.f64 (/.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 x)))
(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) (pow x 2))
(/.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n) (*.f64 x x))
(/ (- (* 1/2 (/ 1 n)) 1/2) (* n x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x)
(/ (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3))
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.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))))
(/ (+ (* x (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (pow x 3))
(/.f64 (fma.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.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))) (exp.f64 (/.f64 (log.f64 x) n)))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* x (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n))) (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 x (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (exp.f64 (/.f64 (log.f64 x) n)))) x (*.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))) (exp.f64 (/.f64 (log.f64 x) n)))) (pow.f64 x #s(literal 3 binary64)))
(/ (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.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)))
(/ (+ (* x (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (pow x 2))
(/.f64 (fma.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.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))) (exp.f64 (/.f64 (log.f64 x) n)))) (*.f64 x x))
(/ (+ (* x (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n))) (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (pow x 2))
(/.f64 (fma.f64 (fma.f64 x (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (exp.f64 (/.f64 (log.f64 x) n)))) x (*.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))) (exp.f64 (/.f64 (log.f64 x) n)))) (*.f64 x x))
(* -1 (pow (log x) 2))
(neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(- (pow x 2) (pow (log x) 2))
(-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 11/12 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(* -1 (pow (log x) 3))
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))
(- (pow x 3) (pow (log x) 3))
(-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3))
(-.f64 (*.f64 (fma.f64 #s(literal -3/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3))
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(/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (log.f64 x) x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) n)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (log.f64 x) x))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))) n)
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- 1/2 (* 1/3 (/ 1 x)))) (pow x 2))) (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- 1/2 (* 1/2 (/ 1 x)))) (pow x 2))) (+ (* -1 (/ (+ (* -1/6 (/ (* (pow (log x) 3) (- 1/2 (* 1/3 (/ 1 x)))) (pow x 2))) (+ (* 1/6 (/ (log x) (pow x 3))) (+ (* 1/6 (/ (pow (log x) 3) x)) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/2 (/ 1 x)))) (pow x 2)))))) n)) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x)))) (pow x 2)))))) (* 1/6 (/ 1 (pow x 3)))) n)) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) (* 1/2 (/ 1 (pow x 3)))) n)) (/ 1/2 (pow x 2))) (+ (/ 1/3 (pow x 3)) (/ 1 x))) n))
(/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 (-.f64 (-.f64 (+.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (-.f64 (-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (fma.f64 (/.f64 (log.f64 x) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64) (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x)) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) #s(literal 1/6 binary64))))) n)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (/.f64 (log.f64 x) x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) n)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 (log.f64 x) x))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)))) n)
(* -1 (/ (- (* 1/2 (/ 1 x)) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))
(neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (log x) (+ (* -1 (/ (* (log x) (- 1/2 (* 1/3 (/ 1 x)))) x)) (* 1/2 (/ 1 x)))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))
(/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (log.f64 x)) #s(literal 1/2 binary64)) x) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)))) n)
(* -1 (/ (- (+ (* -1 (/ (- (+ (log x) (+ (* -1 (/ (* (log x) (- 1/2 (* 1/3 (/ 1 x)))) x)) (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- 1/2 (* 1/2 (/ 1 x)))) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x)))) x)))) (* 1/6 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))
(/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (+.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)))) n)
(* -1 (/ (- (+ (* -1 (/ (- (+ (log x) (+ (* -1 (/ (* (log x) (- 1/2 (* 1/3 (/ 1 x)))) x)) (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- 1/2 (* 1/2 (/ 1 x)))) x)) (+ (* -1 (/ (+ (* -1/6 (/ (* (pow (log x) 3) (- 1/2 (* 1/3 (/ 1 x)))) x)) (+ (* 1/6 (/ (log x) (pow x 2))) (+ (* 1/6 (pow (log x) 3)) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/2 (/ 1 x)))) x))))) n)) (+ (* -1/2 (pow (log x) 2)) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x)))) x))))) (* 1/6 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n))
(/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (+.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (-.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal -1/6 binary64) (fma.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (log.f64 x) x) (fma.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))) n)) (*.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)))) n)
(* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) n))
(neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) n))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) n))) (* 1/3 (/ 1 x))) n))
(neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) (/.f64 #s(literal 1/3 binary64) x)) n))
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (+ 1/2 (* 1/6 (/ 1 (* n x)))) (* 1/2 (/ 1 x))) n))) (* 1/3 (/ 1 x))) n))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) (/.f64 #s(literal 1/3 binary64) x))) n)
(* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n) #s(literal -1 binary64) #s(literal -1/3 binary64)) n))

rewrite244.0ms (1%)

Memory
11.7MiB live, 248.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059470
0103470
1505440
24871440
08242440
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 631
Calls
Call 1
Inputs
(/.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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
(-.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)))
(log.f64 x)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
(/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)
(fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
Outputs
(*.f64 (pow.f64 (/.f64 (neg.f64 n) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x))))
(*.f64 (neg.f64 (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)))) (pow.f64 n #s(literal -1 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 2 binary64))) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal -9 binary64)) #s(literal 1/216 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 3 binary64))) (fma.f64 (pow.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))))
(/.f64 (-.f64 (*.f64 n #s(literal 1/6 binary64)) (*.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 n #s(literal 3 binary64)))) (pow.f64 n #s(literal 4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (-.f64 (pow.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))) (-.f64 (*.f64 (pow.f64 n #s(literal -9 binary64)) #s(literal 1/216 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 n #s(literal 4 binary64)) (-.f64 (*.f64 n #s(literal 1/6 binary64)) (*.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 n #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (pow.f64 n #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 n #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
(fma.f64 (pow.f64 (*.f64 n n) #s(literal -1 binary64)) (pow.f64 (/.f64 n #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
(fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 (neg.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
(fma.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 n) #s(literal 3 binary64))) (/.f64 (neg.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
(fma.f64 (neg.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))
(fma.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))
(fma.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 n n) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (neg.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal -3 binary64)) (/.f64 (neg.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
(-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal -1/3 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 2 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))))
(-.f64 (/.f64 (*.f64 (pow.f64 n #s(literal -9 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 3 binary64)) (fma.f64 (pow.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64) (*.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))))))
(-.f64 (/.f64 (*.f64 n #s(literal 1/6 binary64)) (pow.f64 n #s(literal 4 binary64))) (/.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 n #s(literal 3 binary64))) (pow.f64 n #s(literal 4 binary64))))
(-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(+.f64 (/.f64 (neg.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n))) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (neg.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))

eval149.0ms (0.6%)

Memory
2.2MiB live, 229.3MiB allocated
Compiler

Compiled 59 850 to 5 499 computations (90.8% saved)

prune54.0ms (0.2%)

Memory
16.2MiB live, 103.4MiB allocated
Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New982251 007
Fresh6612
Picked415
Done000
Total992321 024
Accuracy
100.0%
Counts
1 024 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.1%
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))
20.3%
(/.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 (+.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)))))
20.2%
(/.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 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
46.7%
(-.f64 (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
59.8%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶22.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
24.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
✓36.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
51.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x))) (neg.f64 n))))
57.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
61.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 n))))
66.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) #s(literal 2 binary64))) (*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) (log.f64 x)) (neg.f64 n))))
60.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
72.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
67.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) n)) (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) (log.f64 x))))
49.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) (neg.f64 n)))
34.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
26.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
47.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
77.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x))))))
57.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n))))
67.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 (neg.f64 n) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64))))
▶77.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)))))
57.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) n))))
41.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 x))))
43.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 n) (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x))))) #s(literal -1 binary64))))
▶36.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n))))
▶30.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
46.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
39.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
▶39.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
39.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n))))
Compiler

Compiled 3 165 to 1 719 computations (45.7% saved)

simplify143.0ms (0.6%)

Memory
-2.4MiB live, 121.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff1
(fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n))
cost-diff2
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))
cost-diff2
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
cost-diff2
(-.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)))))
cost-diff0
#s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
cost-diff2
(+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x))
cost-diff2
(-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
cost-diff0
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
cost-diff0
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff2
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n))
cost-diff0
(/.f64 #s(literal 1 binary64) n)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
cost-diff0
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
cost-diff0
(-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)))
cost-diff0
(/.f64 #s(literal -1 binary64) n)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)))))
cost-diff2
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01101205
01801203
13461197
29131159
340111134
084731122
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x))))
(/.f64 #s(literal -1 binary64) n)
#s(literal -1 binary64)
n
(-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)))
(log.f64 x)
x
(+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x))
(/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)
(fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
(log1p.f64 x)
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
x
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n))
(/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)
(-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n))
(fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(log.f64 x)
x
#s(literal 1/2 binary64)
(*.f64 (*.f64 x x) n)
(*.f64 x x)
n
(/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))
(/.f64 (log.f64 x) n)
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n))))
#s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)))
(fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n))
(fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n))
(neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))))
(fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))
(-.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 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
n
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))
(/.f64 #s(literal 1/3 binary64) n)
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))
#s(literal 1/6 binary64)
(pow.f64 n #s(literal 3 binary64))
#s(literal 3 binary64)
x
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)
(neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x))
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))
(/.f64 #s(literal -1/6 binary64) n)
#s(literal -1/6 binary64)
(/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x))))
(/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n)
(/.f64 #s(literal -1 binary64) n)
#s(literal -1 binary64)
n
(-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)))
(-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n) (log1p.f64 x)))
(log.f64 x)
x
(+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x))
(+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n) (log1p.f64 x))
(/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)
(/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)
(fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
(log1p.f64 x)
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
x
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
n
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (/.f64 (+.f64 (-.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) x)) x) n)))
#s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n))
#s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (/.f64 (+.f64 (-.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) x)) x) n))
(/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)
(/.f64 (/.f64 (+.f64 (-.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) x)) x) n)
(-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 (+.f64 (-.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) x)) x)
(+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x))
(/.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) x)) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n))
(/.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) x) x)
(fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(log.f64 x)
x
#s(literal 1/2 binary64)
(*.f64 (*.f64 x x) n)
(*.f64 x x)
n
(/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))
(/.f64 (log.f64 x) n)
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) n)) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)) x (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) n)) (/.f64 (+.f64 x (neg.f64 (-.f64 (log.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64))) n)))) n))))
#s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)))
#s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) n)) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)) x (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) n)) (/.f64 (+.f64 x (neg.f64 (-.f64 (log.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64))) n)))) n)))
(fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n))
(fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) n)) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)) x (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) n)) (/.f64 (+.f64 x (neg.f64 (-.f64 (log.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64))) n)))) n))
(fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n))
(fma.f64 (*.f64 (neg.f64 x) x) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) n)) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n))
(neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))))
(neg.f64 (fma.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) n)) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)) x (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) n)))
(fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))
(fma.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) n)) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)) x (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) n))
(-.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 #s(literal 1/2 binary64) (/.f64 #s(literal -1/6 binary64) n)) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1/2 binary64) n) n)
#s(literal 1/2 binary64)
(*.f64 n 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 1/6 binary64) n) n) #s(literal 1/3 binary64)) n)
(/.f64 #s(literal 1/3 binary64) n)
#s(literal 1/3 binary64)
(/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))
#s(literal 1/6 binary64)
(pow.f64 n #s(literal 3 binary64))
#s(literal 3 binary64)
x
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) n)
(/.f64 #s(literal 1/2 binary64) n)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)
(/.f64 (neg.f64 (-.f64 (log.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64))) n))) n)
(neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))
(neg.f64 (-.f64 (log.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64))) n)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))
(-.f64 (log.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64))) n))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x))
(fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))
(/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
#s(literal 2 binary64)
(*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))
(*.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) n) #s(literal -1/6 binary64))
(/.f64 #s(literal -1/6 binary64) n)
#s(literal -1/6 binary64)
(/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)
(pow.f64 (log.f64 x) #s(literal 3 binary64))

localize905.0ms (3.8%)

Memory
-194.4MiB live, 622.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy5.1435730125895915
(fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))
accuracy6.550727581585351
(fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n))
accuracy12.781050675354289
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n))))
accuracy20.57383478055527
#s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)))
accuracy5.836811987171031
(*.f64 (*.f64 x x) n)
accuracy5.902314851622881
(-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
accuracy17.20599737793416
#s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n))
accuracy27.042188115144683
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
accuracy1.1912462737477068
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n))
accuracy1.2049290441229563
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
accuracy25.706886444086155
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy26.98718568596214
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
accuracy0.0
(/.f64 #s(literal 1 binary64) n)
accuracy0.12890625
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
accuracy18.062345084701306
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
accuracy26.234324568976692
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
accuracy12.781050675354289
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)))))
accuracy17.216009570290996
(-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)))
accuracy24.379938903934526
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
accuracy24.392019525789593
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
Samples
525.0ms124×1valid
236.0ms82×2valid
28.0ms39×0exit
8.0ms11×0valid
Compiler

Compiled 2 165 to 211 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 732.0ms
ival-neg: 289.0ms (39.5% of total)
ival-div: 94.0ms (12.8% of total)
ival-sub: 82.0ms (11.2% of total)
ival-mult: 58.0ms (7.9% of total)
ival-pow: 55.0ms (7.5% of total)
adjust: 54.0ms (7.4% of total)
ival-add: 39.0ms (5.3% of total)
ival-log: 19.0ms (2.6% of total)
const: 16.0ms (2.2% of total)
ival-log1p: 12.0ms (1.6% of total)
ival-pow2: 9.0ms (1.2% of total)
ival-exp: 3.0ms (0.4% of total)
exact: 1.0ms (0.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series90.0ms (0.4%)

Memory
10.8MiB live, 124.5MiB allocated
Counts
26 → 225
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)))))
(/.f64 #s(literal -1 binary64) n)
(-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1 binary64) n)
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n))
(-.f64 (/.f64 #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 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))
(fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) n)
#s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) 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))
(- (+ (log x) (* -1 (/ (- (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x)))
(* -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 (/ (- (* 1/2 x) 1) n))
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))
(- (+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ 1/2 (* -1/2 (log x))) (pow x 2)))) n)) (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ 1/2 (* -1/2 (log x))) (pow x 2)))) n)) (/ 1 x))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x)))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x)) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x))) x)) (* 1/6 (/ (pow (log x) 3) x))) n)) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x)))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(* -1 (/ (- 1/3 (* 1/2 (/ 1 n))) n))
(* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (* 1/6 (/ 1 n))) n))) n))
(* -1 (/ (- (* 1/2 (/ 1 n)) 1/2) n))
(+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)))
(* -1 (/ (+ (log x) (* x (- (* x (- 1/2 (* 1/3 x))) 1))) n))
(* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* (pow x 2) (- 1/2 (* 1/2 x)))) n)) (* x (- (* x (- 1/2 (* 1/3 x))) 1)))) n))
(* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow x 3)) (* 1/6 (pow (log x) 3))) n)) (+ (* -1/2 (pow (log x) 2)) (* (pow x 2) (- 1/2 (* 1/2 x))))) n)) (* x (- (* x (- 1/2 (* 1/3 x))) 1)))) n))
(* -1 (/ (- (* 1/3 x) 1/2) n))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/2 x) 1/2) n)) (* 1/3 x)) 1/2) n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/6 (/ x n)) (* 1/2 x)) 1/2) n)) (* 1/3 x)) 1/2) n))
Calls

6 calls:

TimeVariablePointExpression
21.0ms
x
@-inf
((* (/ -1 n) (- (log x) (+ (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (log (+ 1 x))))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ -1 n) (- (log x) (+ (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (log (+ 1 x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) (- (/ 1/2 n) (/ 1/2 (* n n))) (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n))) (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* (* x x) n) (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n)))))
21.0ms
x
@inf
((* (/ -1 n) (- (log x) (+ (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (log (+ 1 x))))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ -1 n) (- (log x) (+ (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (log (+ 1 x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) (- (/ 1/2 n) (/ 1/2 (* n n))) (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n))) (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* (* x x) n) (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n)))))
14.0ms
x
@0
((* (/ -1 n) (- (log x) (+ (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (log (+ 1 x))))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ -1 n) (- (log x) (+ (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (log (+ 1 x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) (- (/ 1/2 n) (/ 1/2 (* n n))) (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n))) (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* (* x x) n) (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n)))))
11.0ms
n
@-inf
((* (/ -1 n) (- (log x) (+ (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (log (+ 1 x))))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ -1 n) (- (log x) (+ (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (log (+ 1 x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) (- (/ 1/2 n) (/ 1/2 (* n n))) (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n))) (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* (* x x) n) (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n)))))
8.0ms
n
@0
((* (/ -1 n) (- (log x) (+ (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (log (+ 1 x))))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ -1 n) (- (log x) (+ (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (log (+ 1 x)))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) (- (/ 1/2 n) (/ 1/2 (* n n))) (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n))) (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* (* x x) n) (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n)))))

simplify228.0ms (1%)

Memory
20.6MiB live, 217.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013358532
147617802
081567354
Stop Event
1×iter limit
1×node limit
Counts
225 → 225
Calls
Call 1
Inputs
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 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)))
(- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (+ (log x) (* -1 x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (+ (log x) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (+ (log x) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(/ (exp (/ (log x) n)) (* n x))
(/ 1 (* n x))
(/ 1 n)
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 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))))
(/ (- (+ (* -1/2 (/ (log x) n)) (* 1/2 (/ 1 n))) 1/2) (pow x 2))
(/ (- (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ 1 n)) (* x (+ 1 (/ (log x) n))))) 1/2) (pow x 2))
(/ (+ (* -1/2 (/ (log x) n)) (* 1/2 (/ 1 n))) (pow x 2))
(/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ 1 n)) (* x (+ 1 (/ (log x) n))))) (pow x 2))
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n (pow x 2)))
(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) (pow x 2))
(- (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) (* -1/6 (/ (pow (log x) 3) (pow n 2))))
(- (* -1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(- (+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (/ x n)) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(- (+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(- (+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (* 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)))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(* -1 (pow (log x) 2))
(- (pow x 2) (pow (log x) 2))
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(* -1 (pow (log x) 3))
(- (pow x 3) (pow (log x) 3))
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(* n (pow x 2))
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(- (+ (* 1/2 (/ 1 n)) (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* 1/2 (/ 1 (pow n 2))))
(/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))
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(* -1 (* (pow x 3) (- (+ (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)) (* 1/2 (/ 1 (pow n 2)))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))))
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(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3)))
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(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 3))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ -1 n)
(* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2)))
(/ (- (* -1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (pow n 2))
(/ (- (* n (- (* n (- (log x) (log (+ 1 x)))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (pow n 2))
(* 1/2 (/ x (pow n 2)))
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))
(exp (/ (log (+ 1 x)) 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 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x))) n)
(/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (+ (* n (- (/ 1 x) (* 1/2 (/ 1 (pow x 2))))) (/ (log x) x)))) n)
(/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ n x) (/ (log x) 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))
(/ -1/6 (pow n 3))
(/ (- (* 1/2 n) 1/6) (pow n 3))
(/ (- (* n (+ 1/2 (* -1/3 n))) 1/6) (pow n 3))
(/ -1/2 (pow n 2))
(/ (- (* 1/2 n) 1/2) (pow n 2))
(* 1/6 (/ (pow (log x) 3) (pow n 2)))
(/ (- (* 1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 2))
(/ (- (* n (+ (* 1/2 (pow (log x) 2)) (* n (log x)))) (* -1/6 (pow (log x) 3))) (pow n 2))
(/ (+ (* -1/6 (pow (log x) 3)) (* 1/6 (pow x 3))) (pow n 3))
(/ (+ (* -1/6 (pow (log x) 3)) (+ (* 1/6 (pow x 3)) (* n (- (* (pow x 2) (- 1/2 (* 1/2 x))) (* 1/2 (pow (log x) 2)))))) (pow n 3))
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(* -1/6 (/ x (pow n 3)))
(/ (+ (* -1/6 x) (* n (- (* 1/2 x) 1/2))) (pow n 3))
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(* -1 (/ (- (log x) (log (+ 1 x))) n))
(/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)
(/ (+ (* -1 (- (log x) (log (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) 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)
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(- (log x) (log (+ 1 x)))
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(/ (+ (/ 1 x) (/ (log x) (* n x))) n)
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(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)
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(/ 1 x)
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(/ 1/2 n)
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(log x)
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(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x))) x)) (* 1/6 (/ (pow (log x) 3) x))) n)) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x)))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
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Outputs
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
(neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))) n))
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(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))
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(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log1p.f64 x))) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n)) (log1p.f64 x)) n))
(+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n)))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) n)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 x x) n) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)) n))
(- (+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ 1/2 (* -1/2 (log x))) (pow x 2)))) n)) (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 x x))) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ 1/2 (* -1/2 (log x))) (pow x 2)))) n)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 x x))) n))
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x)))
(neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x)) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (log.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) x) n)) (/.f64 #s(literal 1 binary64) x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (log.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) x) (/.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) x) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) x) n)) n)) (/.f64 #s(literal 1 binary64) x)) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x))) x)) (* 1/6 (/ (pow (log x) 3) x))) n)) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x)))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))
(neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 (log.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (log.f64 x)) x) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) x) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) x) (/.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) x))) x) n)) n)) n)) (/.f64 #s(literal 1 binary64) x)) n))
(* -1 (/ (- 1/3 (* 1/2 (/ 1 n))) n))
(neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (* 1/6 (/ 1 n))) n))) n))
(neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) n)) n))
(* -1 (/ (- (* 1/2 (/ 1 n)) 1/2) n))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n))
(+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)))
(-.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))
(* -1 (/ (+ (log x) (* x (- (* x (- 1/2 (* 1/3 x))) 1))) n))
(neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) n))
(* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* (pow x 2) (- 1/2 (* 1/2 x)))) n)) (* x (- (* x (- 1/2 (* 1/3 x))) 1)))) n))
(neg.f64 (/.f64 (+.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) n)) (log.f64 x)) n))
(* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow x 3)) (* 1/6 (pow (log x) 3))) n)) (+ (* -1/2 (pow (log x) 2)) (* (pow x 2) (- 1/2 (* 1/2 x))))) n)) (* x (- (* x (- 1/2 (* 1/3 x))) 1)))) n))
(neg.f64 (/.f64 (+.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) n)) n)) (log.f64 x)) n))
(* -1 (/ (- (* 1/3 x) 1/2) n))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) n))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/2 x) 1/2) n)) (* 1/3 x)) 1/2) n))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64)) n) #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/6 (/ x n)) (* 1/2 x)) 1/2) n)) (* 1/3 x)) 1/2) n))
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x n) #s(literal -1/6 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/2 binary64))) n) #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) n))

rewrite187.0ms (0.8%)

Memory
-6.0MiB live, 258.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110776
0180772
1878722
08272714
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 514
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)))))
(/.f64 #s(literal -1 binary64) n)
(-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1 binary64) n)
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n))
(-.f64 (/.f64 #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 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))
(fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) n)
#s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n))))
(fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))
Outputs
(*.f64 (*.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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)) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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))) (pow.f64 n #s(literal -1 binary64)))
(*.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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)) (/.f64 #s(literal -1 binary64) n))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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)) (neg.f64 n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x)))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 3 binary64)))))
(fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -2 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x))
(fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 n #s(literal -3 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64)))))) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x))
(fma.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1 binary64)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) n) n (*.f64 (neg.f64 n) #s(literal 1/2 binary64))) (pow.f64 n #s(literal -3 binary64)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x))
(fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) n) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) n) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal -2 binary64)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal -2 binary64)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 n #s(literal -2 binary64))) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal -2 binary64)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x)))
(fma.f64 x (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))) (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))
(-.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n))
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x))))) (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x))))))
(+.f64 (fma.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x (/.f64 #s(literal 1/2 binary64) n)) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal -2 binary64))))
(+.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal -2 binary64)) (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) x)))

eval198.0ms (0.8%)

Memory
-14.8MiB live, 242.3MiB allocated
Compiler

Compiled 70 221 to 5 294 computations (92.5% saved)

prune84.0ms (0.4%)

Memory
-7.9MiB live, 113.4MiB allocated
Pruning

41 alts after pruning (39 fresh and 2 done)

PrunedKeptTotal
New74617763
Fresh42226
Picked415
Done011
Total75441795
Accuracy
100.0%
Counts
795 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.1%
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))
20.3%
(/.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 (+.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)))))
▶20.2%
(/.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 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
46.7%
(-.f64 (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
59.8%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
29.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
24.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
✓36.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
51.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x))) (neg.f64 n))))
57.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
66.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) #s(literal 2 binary64))) (*.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) (log.f64 x)) (neg.f64 n))))
60.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
72.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
67.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (+.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)) #s(literal 2 binary64)))) (+.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (/.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))))
49.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) (neg.f64 n)))
26.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
47.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
▶77.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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)))))
▶57.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n))))
67.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 (neg.f64 n) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64))))
60.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(approx (- (log x) (+ (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (log (+ 1 x)))) (-.f64 (log.f64 x) (log1p.f64 x)))))
57.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) n))))
41.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 x))))
43.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 n) (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x))))) #s(literal -1 binary64))))
34.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n))))
33.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 n #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (*.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))))) n))))
35.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 #s(approx (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n))) (log.f64 x))) n))))
31.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) n (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) n (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))))))
43.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))))))
32.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) n)))))
39.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (+.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) n)) (log.f64 x)) n)))))
26.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
27.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 x x))) n)))
23.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 (log.f64 x) x)) n)) n)))
46.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
39.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
▶39.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
✓39.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
▶38.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
39.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) (neg.f64 x)))))
39.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n))))
Compiler

Compiled 5 172 to 2 791 computations (46% saved)

simplify272.0ms (1.1%)

Memory
25.1MiB live, 217.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))
cost-diff0
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
cost-diff0
(/.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 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
cost-diff0
(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)
cost-diff0
(/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n))))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)))
cost-diff0
(/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)
cost-diff0
(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)
cost-diff0
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
cost-diff0
(*.f64 x n)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x n))
cost-diff0
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
cost-diff0
(neg.f64 n)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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)))))
cost-diff1
(/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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)))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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))))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
061576
099576
1167574
2358568
31162565
45705557
08111557
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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))))
#s(literal 1 binary64)
(/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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)))
(neg.f64 n)
n
(-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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))
(-.f64 (log.f64 x) (log1p.f64 x))
(log.f64 x)
x
(log1p.f64 x)
(/.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)
(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)))
#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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
#s(literal 1 binary64)
(*.f64 x n)
x
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n))
(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)
(/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
#s(literal 1 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)))
#s(literal 1 binary64)
(/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n))
x
(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
(pow.f64 n #s(literal -1 binary64))
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))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
(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)))
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
(pow.f64 n #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) (log.f64 x)) n))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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))))
(/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) (log.f64 x)) n)
#s(literal 1 binary64)
(/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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)))
(/.f64 n (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) (log.f64 x)))
(neg.f64 n)
n
(-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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))
(-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))
(-.f64 (log.f64 x) (log1p.f64 x))
(log.f64 x)
x
(log1p.f64 x)
(/.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)
(/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)
(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)))
(fma.f64 (/.f64 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
#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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
#s(literal 1/2 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 #s(literal 1 binary64) (*.f64 n x))
#s(literal 1 binary64)
(*.f64 x n)
(*.f64 n x)
x
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n))
(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)
(/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
#s(literal 1 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)))
(/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)
#s(literal 1 binary64)
(/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n))
x
(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
(pow.f64 n #s(literal -1 binary64))
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))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (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 (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 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
(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 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
(pow.f64 n #s(literal -1 binary64))
#s(literal -1 binary64)
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)

localize446.0ms (1.9%)

Memory
13.0MiB live, 488.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))
accuracy0.07421875
(/.f64 (log1p.f64 x) n)
accuracy0.5117153098010198
(/.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 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
accuracy25.690490435635056
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
accuracy0.0078125
(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)
accuracy0.0859375
(/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n))
accuracy0.874255784097001
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)))
accuracy19.367230658457217
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n))))
accuracy0.09765625
(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)
accuracy0.1328125
(/.f64 (log.f64 x) n)
accuracy1.1304437048378784
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n))
accuracy19.367230658457217
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
accuracy0.0
(*.f64 x n)
accuracy0.8742557841327349
(/.f64 #s(literal 1 binary64) (*.f64 x n))
accuracy1.729665513219256
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
accuracy19.367230658457217
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
accuracy0.882068284097001
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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))))
accuracy15.755150174263518
(-.f64 (log.f64 x) (log1p.f64 x))
accuracy15.75776642788627
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
accuracy15.765887290045786
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
Samples
200.0ms81×2valid
91.0ms64×1valid
78.0ms106×0exit
3.0ms5×0valid
Compiler

Compiled 1 107 to 118 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 310.0ms
ival-pow: 111.0ms (35.8% of total)
ival-div: 54.0ms (17.4% of total)
ival-pow2: 36.0ms (11.6% of total)
adjust: 34.0ms (11% of total)
ival-sub: 14.0ms (4.5% of total)
ival-exp: 13.0ms (4.2% of total)
ival-add: 12.0ms (3.9% of total)
ival-mult: 10.0ms (3.2% of total)
ival-log: 9.0ms (2.9% of total)
ival-log1p: 7.0ms (2.3% of total)
const: 6.0ms (1.9% of total)
exact: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series309.0ms (1.3%)

Memory
13.3MiB live, 243.0MiB allocated
Counts
26 → 237
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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))))
(/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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)))))
(neg.f64 n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(*.f64 x n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n))
(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)
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2
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Calls

6 calls:

TimeVariablePointExpression
121.0ms
x
@-inf
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55.0ms
x
@0
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39.0ms
x
@inf
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29.0ms
n
@inf
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27.0ms
n
@0
((/ 1 (/ (neg n) (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)))) (/ (neg n) (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (neg n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* x n)) (* x n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ (+ (/ (log x) n) 1) x) n) (/ (+ (/ (log x) n) 1) x) (/ 1 (/ x (/ (pow x (pow n -1)) n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ x (/ (pow x (pow n -1)) n)) (/ (pow x (pow n -1)) n) (/ (- (pow (+ 1 x) (/ 2 n)) (pow x (/ 2 n))) (+ (pow x (pow n -1)) (exp (/ (log (+ 1 x)) n)))) (- (pow (+ 1 x) (/ 2 n)) (pow x (/ 2 n))) (pow (+ 1 x) (/ 2 n)) (+ 1 x) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (log x) (log (+ 1 x))) (/ (log x) n) (/ (log (+ 1 x)) n) (+ (pow x (pow n -1)) (exp (/ (log (+ 1 x)) n))))

simplify275.0ms (1.1%)

Memory
-0.3MiB live, 260.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0171414727
1627814234
0819113272
Stop Event
1×iter limit
1×node limit
Counts
237 → 236
Calls
Call 1
Inputs
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(* -1 (/ (- (+ (* -2 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -4/3 (pow (log (+ 1 x)) 3)) (* -4/3 (pow (log x) 3))) n)) (* 2 (pow (log (+ 1 x)) 2))) (* 2 (pow (log x) 2))) n))) (* -2 (log x))) n))
(neg.f64 (/.f64 (-.f64 (fma.f64 (log1p.f64 x) #s(literal -2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4/3 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (*.f64 #s(literal -2 binary64) (log.f64 x))) n))
(* -1 (/ (- (+ (* -2 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4/3 (pow (log (+ 1 x)) 3)) (* -1 (/ (- (* 2/3 (pow (log (+ 1 x)) 4)) (* 2/3 (pow (log x) 4))) n))) (* -4/3 (pow (log x) 3))) n)) (* 2 (pow (log (+ 1 x)) 2))) (* 2 (pow (log x) 2))) n))) (* -2 (log x))) n))
(neg.f64 (/.f64 (-.f64 (fma.f64 (log1p.f64 x) #s(literal -2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal -4/3 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n))) (*.f64 #s(literal -4/3 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (*.f64 #s(literal -2 binary64) (log.f64 x))) n))
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) n) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -1 (/ (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) n)) (* 2 (pow (log (+ 1 x)) 2))) n))) n)))
(fma.f64 (/.f64 (fma.f64 (log1p.f64 x) #s(literal -2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 4/3 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) n))) n) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 2 (* -1 (/ (+ (* -1 (log x)) (* -1 (log (+ 1 x)))) n)))
(fma.f64 (/.f64 (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (neg.f64 (log.f64 x))) n) #s(literal -1 binary64) #s(literal 2 binary64))
(+ 2 (* -1 (/ (+ (* -1 (log x)) (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log (+ 1 x)) 2))) n)))) n)))
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n)) (neg.f64 (log.f64 x))) n) #s(literal -1 binary64) #s(literal 2 binary64))
(+ 2 (* -1 (/ (+ (* -1 (log x)) (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (log x) 3)) (* -1/6 (pow (log (+ 1 x)) 3))) n)) (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log (+ 1 x)) 2)))) n)))) n)))
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) n))) n)) (neg.f64 (log.f64 x))) n) #s(literal -1 binary64) #s(literal 2 binary64))

rewrite224.0ms (0.9%)

Memory
16.6MiB live, 307.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061391
099375
1463361
23667361
08147361
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 793
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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))))
(/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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)))))
(neg.f64 n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(*.f64 x n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n))
(/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)
(/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n))))
(/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n))
(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)
(/.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 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))
(+.f64 #s(literal 1 binary64) x)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(-.f64 (log.f64 x) (log1p.f64 x))
(/.f64 (log.f64 x) n)
(/.f64 (log1p.f64 x) n)
(+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))
Outputs
(*.f64 (pow.f64 (/.f64 (neg.f64 n) (-.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (-.f64 (log.f64 x) (log1p.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 n) (-.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (-.f64 (log.f64 x) (log1p.f64 x))) (pow.f64 (-.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 (pow.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 n (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) #s(literal -1 binary64)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (neg.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))))
(*.f64 (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) #s(literal 1 binary64))
(*.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (/.f64 #s(literal -1 binary64) n))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)))
(pow.f64 (*.f64 (/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) #s(literal 1 binary64))
(pow.f64 (/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) #s(literal -1 binary64))
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(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) #s(literal 2 binary64)))) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (-.f64 (log.f64 x) (log1p.f64 x))))
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(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(fma.f64 (pow.f64 (fabs.f64 x) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (fabs.f64 x) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (pow.f64 (neg.f64 x) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (neg.f64 x) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (pow.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (pow.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (pow.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (pow.f64 (exp.f64 (log1p.f64 x)) (cosh.f64 (log.f64 n))) (pow.f64 (exp.f64 (log1p.f64 x)) (sinh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (cosh.f64 (log.f64 n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (sinh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(fma.f64 (pow.f64 (exp.f64 (log.f64 x)) (cosh.f64 (log.f64 n))) (pow.f64 (exp.f64 (log.f64 x)) (sinh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (pow.f64 x (cosh.f64 (log.f64 n))) (pow.f64 x (sinh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(fma.f64 (pow.f64 x (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 x (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (neg.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (neg.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1/2 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(fma.f64 (fabs.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (fabs.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1/2 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(fma.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64)) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1/2 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(-.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (-.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(-.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 (neg.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1/2 binary64))))
(+.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
(+.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (cosh.f64 (/.f64 (log1p.f64 x) n))) (sinh.f64 (/.f64 (log1p.f64 x) n)))
(+.f64 (/.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (/.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(+.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (+.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (exp.f64 (/.f64 (log1p.f64 x) n))))
(+.f64 (cosh.f64 (/.f64 (log1p.f64 x) n)) (+.f64 (sinh.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))

eval280.0ms (1.2%)

Memory
-6.8MiB live, 385.9MiB allocated
Compiler

Compiled 54 023 to 5 526 computations (89.8% saved)

prune99.0ms (0.4%)

Memory
-14.1MiB live, 148.0MiB allocated
Pruning

41 alts after pruning (38 fresh and 3 done)

PrunedKeptTotal
New1 013141 027
Fresh102434
Picked415
Done022
Total1 027411 068
Accuracy
100.0%
Counts
1 068 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.1%
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))
20.3%
(/.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 (+.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)))))
36.3%
(/.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))) #s(approx (+ (pow x (pow n -1)) (exp (/ (log (+ 1 x)) n))) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) #s(literal 1 binary64))))
46.7%
(-.f64 (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
59.8%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
24.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
✓36.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
67.9%
#s(approx (/ (- (pow (+ 1 x) (/ 2 n)) (pow x (/ 2 n))) (+ (pow x (pow n -1)) (exp (/ (log (+ 1 x)) n)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (*.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n)))) n))
51.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x))) (neg.f64 n))))
52.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow.f64 (pow.f64 (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
38.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (-.f64 (log.f64 x) (log1p.f64 x))) (neg.f64 n))))
60.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
72.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
49.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) (neg.f64 n)))
26.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
47.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
38.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (pow x (pow n -1)) n) (/.f64 #s(literal 1 binary64) n)))))
57.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))))
60.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg n) (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n))) (/.f64 (neg.f64 n) (-.f64 (log.f64 x) (log1p.f64 x))))))
39.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 (neg.f64 n) (-.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (-.f64 (log.f64 x) (log1p.f64 x))) #s(literal -1 binary64))))
60.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(approx (- (log x) (+ (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (log (+ 1 x)))) (-.f64 (log.f64 x) (log1p.f64 x)))))
41.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 x))))
43.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 n) (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)))) #s(literal -1 binary64))))
34.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (fma.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))))) (*.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n))))
35.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 #s(approx (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n))) (log.f64 x))) n))))
31.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) n (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) n (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))))))
43.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))))))
32.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) n)))))
39.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (+.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) n)) (log.f64 x)) n)))))
26.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
27.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 x x))) n)))
23.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 (log.f64 x) x)) n)) n)))
46.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
25.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 x n) (*.f64 x n)) #s(literal -1/2 binary64))))
✓39.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
38.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (*.f64 x n))))
39.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) x) (/.f64 #s(literal 1 binary64) x)) n)))
✓38.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
39.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) (neg.f64 x)))))
37.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) (*.f64 n n)))))
28.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)))))
Compiler

Compiled 6 760 to 1 975 computations (70.8% saved)

regimes92.0ms (0.4%)

Memory
2.8MiB live, 157.2MiB allocated
Counts
74 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) x) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) (neg.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (pow x (pow n -1)) n) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 x n) (*.f64 x n)) #s(literal -1/2 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 x x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(approx (- (log x) (+ (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (log (+ 1 x)))) (-.f64 (log.f64 x) (log1p.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg n) (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n))) (/.f64 (neg.f64 n) (-.f64 (log.f64 x) (log1p.f64 x))))))
#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)))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) n)) (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) (log.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (+.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)) #s(literal 2 binary64)))) (+.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (/.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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 n #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (*.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))))))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 (neg.f64 n) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) (log.f64 x)) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 (neg.f64 n) (-.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (-.f64 (log.f64 x) (log1p.f64 x))) #s(literal -1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) #s(literal 3 binary64))) (*.f64 (fma.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log1p.f64 x)) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 n))))
Outputs
(-.f64 (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))))
Calls

4 calls:

25.0ms
(/.f64 #s(literal 1 binary64) n)
22.0ms
n
18.0ms
x
18.0ms
(-.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
91.2%3x
88.6%3n
87.1%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
88.6%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes18.0ms (0.1%)

Memory
34.3MiB live, 34.3MiB allocated
Counts
55 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) x) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) (neg.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (pow x (pow n -1)) n) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 x n) (*.f64 x n)) #s(literal -1/2 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 x x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(approx (- (log x) (+ (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (log (+ 1 x)))) (-.f64 (log.f64 x) (log1p.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg n) (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n))) (/.f64 (neg.f64 n) (-.f64 (log.f64 x) (log1p.f64 x))))))
#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)))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 (log.f64 x) x)) n)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 #s(approx (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n))) (log.f64 x))) 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))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (+.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) n)) (log.f64 x)) n)))))
(-.f64 (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(/.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))) #s(approx (+ (pow x (pow n -1)) (exp (/ (log (+ 1 x)) n))) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) (neg.f64 n)))
(fma.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n))
(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
(/.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 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 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)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) n (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) n (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))))))
Outputs
(-.f64 (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))))
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
89.8%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes72.0ms (0.3%)

Memory
-36.0MiB live, 66.0MiB allocated
Counts
46 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) x) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) (neg.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (pow x (pow n -1)) n) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 x n) (*.f64 x n)) #s(literal -1/2 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 x x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(approx (- (log x) (+ (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (log (+ 1 x)))) (-.f64 (log.f64 x) (log1p.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg n) (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n))) (/.f64 (neg.f64 n) (-.f64 (log.f64 x) (log1p.f64 x))))))
#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)))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 (log.f64 x) x)) n)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 #s(approx (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n))) (log.f64 x))) 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))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (+.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) n)) (log.f64 x)) n)))))
(-.f64 (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(/.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))) #s(approx (+ (pow x (pow n -1)) (exp (/ (log (+ 1 x)) n))) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (/.f64 (log.f64 x) n))))))
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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
Calls

3 calls:

39.0ms
x
18.0ms
n
12.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
88.3%3n
88.3%3(/.f64 #s(literal 1 binary64) n)
85.6%2x
Compiler

Compiled 5 to 8 computations (-60% saved)

regimes30.0ms (0.1%)

Memory
0.3MiB live, 38.1MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) x) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) (neg.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (pow x (pow n -1)) n) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 x n) (*.f64 x n)) #s(literal -1/2 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 x x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(approx (- (log x) (+ (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (log (+ 1 x)))) (-.f64 (log.f64 x) (log1p.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg n) (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n))) (/.f64 (neg.f64 n) (-.f64 (log.f64 x) (log1p.f64 x))))))
#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)))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 (log.f64 x) x)) n)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 #s(approx (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n))) (log.f64 x))) 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))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (+.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (/.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) n)) (log.f64 x)) n)))))
(-.f64 (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) 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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

2 calls:

17.0ms
n
11.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
88.3%3n
88.3%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes71.0ms (0.3%)

Memory
-19.1MiB live, 65.4MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) x) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) (neg.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (pow x (pow n -1)) n) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 x n) (*.f64 x n)) #s(literal -1/2 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 x x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(approx (- (log x) (+ (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (log (+ 1 x)))) (-.f64 (log.f64 x) (log1p.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg n) (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n))) (/.f64 (neg.f64 n) (-.f64 (log.f64 x) (log1p.f64 x))))))
#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)))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 (log.f64 x) x)) n)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) (fma.f64 (fma.f64 (neg.f64 (fma.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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 #s(approx (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n))) (log.f64 x))) 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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

33.0ms
n
10.0ms
x
10.0ms
(/.f64 #s(literal 1 binary64) n)
8.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
83.8%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)))
79.1%4x
85.3%4n
85.3%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes10.0ms (0%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) x) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) (neg.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (pow x (pow n -1)) n) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 x n) (*.f64 x n)) #s(literal -1/2 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 x x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(approx (- (log x) (+ (/ (+ (* (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n) 1/6) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n) (log (+ 1 x)))) (-.f64 (log.f64 x) (log1p.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ (neg n) (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n))) (/.f64 (neg.f64 n) (-.f64 (log.f64 x) (log1p.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

8.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
85.1%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes34.0ms (0.1%)

Memory
-12.0MiB live, 60.9MiB allocated
Counts
24 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) x) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) (neg.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (pow x (pow n -1)) n) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 x n) (*.f64 x n)) #s(literal -1/2 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n x)) (/.f64 #s(literal 1 binary64) x)) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 #s(approx (- (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/ 1/2 (* x x))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 x x))) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))))
Calls

4 calls:

10.0ms
(/.f64 #s(literal 1 binary64) n)
10.0ms
x
7.0ms
n
5.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
76.1%4x
76.2%6n
66.7%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)))
76.5%6(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes25.0ms (0.1%)

Memory
23.7MiB live, 61.9MiB allocated
Counts
18 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) x) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) (neg.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (pow x (pow n -1)) n) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 x n) (*.f64 x n)) #s(literal -1/2 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) n)))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
Calls

4 calls:

8.0ms
n
5.0ms
(/.f64 #s(literal 1 binary64) n)
5.0ms
x
4.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
53.9%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)))
59.9%6n
60.2%6(/.f64 #s(literal 1 binary64) n)
61.8%4x
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes24.0ms (0.1%)

Memory
-8.8MiB live, 40.1MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) x) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) (neg.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (pow x (pow n -1)) n) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 x n) (*.f64 x n)) #s(literal -1/2 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (/.f64 (+.f64 (log.f64 x) n) x) (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (*.f64 x n))))
Outputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
Calls

4 calls:

8.0ms
x
5.0ms
(/.f64 #s(literal 1 binary64) n)
5.0ms
n
4.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
49.7%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)))
53.4%5n
53.4%4(/.f64 #s(literal 1 binary64) n)
50.5%2x
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes6.0ms (0%)

Memory
-26.2MiB live, 12.8MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) x) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) (neg.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (pow x (pow n -1)) n) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 x n) (*.f64 x n)) #s(literal -1/2 binary64))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) #s(approx (/ (/ (+ (/ (log x) n) 1) x) n) (/.f64 (log.f64 x) (*.f64 (*.f64 n n) x)))))
Outputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
50.5%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes14.0ms (0.1%)

Memory
34.1MiB live, 34.1MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) x) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) (neg.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (pow x (pow n -1)) n) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
Calls

4 calls:

3.0ms
(/.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
47.0%1n
47.0%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
47.0%1(/.f64 #s(literal 1 binary64) n)
47.0%1x
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes13.0ms (0.1%)

Memory
-16.5MiB live, 22.4MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) x) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) (neg.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (pow x (pow n -1)) n) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
Calls

4 calls:

4.0ms
n
3.0ms
(/.f64 #s(literal 1 binary64) n)
3.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
46.0%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
46.0%1(/.f64 #s(literal 1 binary64) n)
46.0%1x
46.0%1n
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes11.0ms (0%)

Memory
20.4MiB live, 20.4MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) x) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal 1 binary64) (neg.f64 x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ (pow x (pow n -1)) n) (/.f64 #s(literal 1 binary64) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 #s(approx (+ (/ (+ (* -1/2 (log x)) 1/2) (* (* x x) n)) (/ (+ (/ (log x) n) 1) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) x) (/.f64 #s(literal 1 binary64) x)) n)))
Calls

4 calls:

3.0ms
(/.f64 #s(literal 1 binary64) n)
3.0ms
n
3.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
39.9%1x
39.9%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
39.9%1n
39.9%1(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes6.0ms (0%)

Memory
-27.6MiB live, 11.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

3.0ms
x
1.0ms
(/.f64 #s(literal 1 binary64) n)
1.0ms
n
1.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
38.9%1n
38.9%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
38.9%1(/.f64 #s(literal 1 binary64) n)
38.9%1x
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch155.0ms (0.6%)

Memory
1.1MiB live, 117.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
36.0ms
0.2031128408639985
7.789450320456739
96.0ms
4.714964274144081e-184
9.817070031639958e-173
Samples
34.0ms68×2valid
23.0ms112×1valid
8.0ms92×0valid
1.0ms8×0exit
Compiler

Compiled 1 234 to 792 computations (35.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-pow: 41.0ms (72.6% of total)
adjust: 6.0ms (10.6% of total)
ival-div: 4.0ms (7.1% of total)
ival-add: 2.0ms (3.5% of total)
ival-sub: 2.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch26.0ms (0.1%)

Memory
32.2MiB live, 32.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
0.2031128408639985
7.789450320456739
2.0ms
4.714964274144081e-184
9.817070031639958e-173
Samples
7.0ms23×2valid
6.0ms36×1valid
3.0ms37×0valid
Compiler

Compiled 1 727 to 1 064 computations (38.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-pow: 9.0ms (64.5% of total)
adjust: 2.0ms (14.3% of total)
ival-div: 1.0ms (7.2% of total)
ival-add: 1.0ms (7.2% of total)
ival-sub: 1.0ms (7.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch31.0ms (0.1%)

Memory
-36.5MiB live, 2.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.51337009374226e-8
1.6050576178438684e-7
30.0ms
-1.3116265731912148e-7
-9.24543087816745e-12
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
5.311906614937643e-13
5.51935630364928e-11
0.0ms
-1.3116265731912148e-7
-9.24543087816745e-12
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.51337009374226e-8
1.6050576178438684e-7
0.0ms
-1.3116265731912148e-7
-9.24543087816745e-12
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.51337009374226e-8
1.6050576178438684e-7
0.0ms
-11.094266209539327
-1.3116265731912148e-7
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch130.0ms (0.5%)

Memory
7.5MiB live, 56.1MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
4.566089717673403e-5
0.0006402292805521605
76.0ms
1.454118833724503e-129
2.488560198193668e-128
29.0ms
5.533685058503666e-195
7.898352368801107e-194
Samples
29.0ms69×2valid
26.0ms114×1valid
11.0ms121×0valid
Compiler

Compiled 3 635 to 2 017 computations (44.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-pow: 40.0ms (71.9% of total)
adjust: 6.0ms (10.8% of total)
ival-div: 4.0ms (7.2% of total)
ival-sub: 3.0ms (5.4% of total)
ival-add: 2.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch26.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.2031128408639985
7.789450320456739
2.0ms
1.454118833724503e-129
2.488560198193668e-128
2.0ms
5.533685058503666e-195
7.898352368801107e-194
Samples
7.0ms21×2valid
6.0ms34×1valid
2.0ms25×0valid
0.0ms3×0exit
Compiler

Compiled 4 102 to 2 286 computations (44.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-pow: 8.0ms (65.3% of total)
adjust: 2.0ms (16.3% of total)
ival-div: 1.0ms (8.2% of total)
ival-sub: 1.0ms (8.2% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch105.0ms (0.4%)

Memory
-15.4MiB live, 22.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
102.0ms
9.817070031639958e-173
2.6643546404589335e-166
Samples
18.0ms43×2valid
14.0ms64×1valid
4.0ms37×0valid
Compiler

Compiled 808 to 526 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-pow: 21.0ms (70.1% of total)
adjust: 4.0ms (13.4% of total)
ival-div: 2.0ms (6.7% of total)
ival-add: 1.0ms (3.3% of total)
ival-sub: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
2.0ms
9.817070031639958e-173
2.6643546404589335e-166
Compiler

Compiled 772 to 508 computations (34.2% saved)

simplify90.0ms (0.4%)

Memory
-2.8MiB live, 35.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02161718
13881706
29091698
333771670
Stop Event
1×node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 7379435813414805/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864 binary64)) (-.f64 (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x #s(literal 8669429282688205/1125899906842624 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))))))
(if (<=.f64 x #s(literal 7379435813414805/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864 binary64)) (-.f64 (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x #s(literal 7385903388887613/36028797018963968 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) (neg.f64 n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -944473296573929/9444732965739290427392 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (exp.f64 (/.f64 (log1p.f64 x) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -944473296573929/9444732965739290427392 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -944473296573929/9444732965739290427392 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -10 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 x #s(literal 3369774561929427/164379246923386672101280933840004020798448118838224183109321278220897879821783775691052079258674639100843217776755569303531857257818243870722744211582871276561100739722763893693489492433885084914727914116743168 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) n))))) (if (<=.f64 x #s(literal 5931322245600385/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x)))) (if (<=.f64 x #s(literal 8116567392432203/18446744073709551616 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) n))))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n)))))))
(if (<=.f64 x #s(literal 3369774561929427/164379246923386672101280933840004020798448118838224183109321278220897879821783775691052079258674639100843217776755569303531857257818243870722744211582871276561100739722763893693489492433885084914727914116743168 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) n))))) (if (<=.f64 x #s(literal 5931322245600385/1560874275157996115690798614896583152874299071332485575429578479812685869409882810060153051531745985579913465560703311447723987839644142653145088 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x)))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (neg n)) #s(approx (+ (* (+ (* (neg (+ (* (- (/ 1/2 (* n n)) (+ (/ 1/3 n) (/ 1/6 (pow n 3)))) x) (- (/ 1/2 n) (/ 1/2 (* n n))))) x) (/ 1 n)) x) (/ (neg (- (+ (* 1/2 (/ (pow (log x) 2) n)) (log x)) (* (/ -1/6 n) (/ (pow (log x) 3) n)))) n)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) n))))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x)))))
(if (<=.f64 x #s(literal 1147258064484217/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048 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 #s(approx (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x)))
(if (<=.f64 x #s(literal 1147258064484217/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048 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 (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #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 (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (exp (/ (log x) n)) (/ (+ (/ (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x)) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(approx (/ (+ (/ (log x) n) 1) x) (/.f64 #s(literal 1 binary64) x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
Outputs
(if (<=.f64 x #s(literal 7379435813414805/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864 binary64)) (-.f64 (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x #s(literal 8669429282688205/1125899906842624 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))))))
(if (<=.f64 x #s(literal 7379435813414805/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864 binary64)) (-.f64 (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x #s(literal 8669429282688205/1125899906842624 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (neg.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))) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n)) #s(literal -1 binary64)))))
(if (<=.f64 x #s(literal 7379435813414805/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864 binary64)) (-.f64 (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x #s(literal 7385903388887613/36028797018963968 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) (neg.f64 n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))))))
(if (<=.f64 x #s(literal 7379435813414805/278469275977917188637766821636980671685377716506870112950390168328813181592326500641230029987632531724770648777685205524334027387779262573135538410627576549575927409323746640019706676772864 binary64)) (-.f64 (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n))) (if (<=.f64 x #s(literal 7385903388887613/36028797018963968 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log x) (+ (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (+ 1 x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)))) (neg.f64 n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (*.f64 x n)) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -944473296573929/9444732965739290427392 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (exp.f64 (/.f64 (log1p.f64 x) n)))))
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soundness1.8s (7.5%)

Memory
43.0MiB live, 1 031.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110776
0180772
1878722
08272714
0171414727
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08242440
061391
099375
1463361
23667361
08147361
02401354
18061236
230711177
088941077
014119384
151138561
082798138
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 2 162 to 542 computations (74.9% saved)

preprocess124.0ms (0.5%)

Memory
-2.2MiB live, 156.6MiB allocated
Compiler

Compiled 3 462 to 464 computations (86.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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