2nthrt (problem 3.4.6)

Time bar (total: 24.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze518.0ms (2.1%)

Memory
-338.8MiB live, 343.7MiB 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)

sample14.1s (57.4%)

Memory
-1.4MiB live, 15 285.4MiB allocated
Samples
9.4s4 833×5exit
1.8s2 761×2valid
808.0ms2 807×1valid
454.0ms2 206×1exit
292.0ms2 688×0valid
248.0ms1 562×0exit
10.0ms6×3exit
6.0ms4×4exit
1.0ms3×2exit
Precisions
Click to see histograms. Total time spent on operations: 11.9s
ival-pow: 9.4s (79% of total)
adjust: 1.2s (10.4% of total)
ival-div: 561.0ms (4.7% of total)
ival-add: 352.0ms (3% of total)
ival-sub: 315.0ms (2.6% of total)
ival-true: 16.0ms (0.1% of total)
exact: 12.0ms (0.1% of total)
ival-assert: 7.0ms (0.1% of total)
Bogosity

explain288.0ms (1.2%)

Memory
18.3MiB live, 449.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1060-0-(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
3536(1.0920781875402712e-186 -1.1238685595684725e-56)0-(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(pow.f64 x (/.f64 #s(literal 1 binary64) n))
00-0-n
00-0-(/.f64 #s(literal 1 binary64) n)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))cancellation1050
pow.f64(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))sensitivity710
-.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)))nan-rescue10
↳(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))overflow17
↳(pow.f64 x (/.f64 #s(literal 1 binary64) n))overflow39
Confusion
Predicted +Predicted -
+1230
-5479
Precision
0.6949152542372882
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12300
-54079
Precision?
0.6949152542372882
Recall?
1.0
Freqs
test
numberfreq
079
1177
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
101.0ms244×1valid
77.0ms170×2valid
16.0ms98×0valid
Compiler

Compiled 87 to 28 computations (67.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 169.0ms
ival-pow: 122.0ms (72.1% of total)
adjust: 14.0ms (8.3% of total)
ival-sub: 10.0ms (5.9% of total)
ival-div: 9.0ms (5.3% of total)
exact: 7.0ms (4.1% of total)
ival-add: 5.0ms (3% of total)
ival-true: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)

preprocess33.0ms (0.1%)

Memory
-12.5MiB live, 29.0MiB allocated
Algorithm
1×egg-herbie
Rules
114×sub-neg
80×lower-fma.f64
80×lower-fma.f32
66×unsub-neg
62×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02275
14369
29367
315867
424967
536667
644367
748467
852667
954167
1054967
0813
01313
11813
22213
32813
43613
55113
68313
710913
815313
916813
1017613
017613
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)))
Compiler

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶56.4%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify8.0ms (0%)

Memory
10.4MiB live, 10.4MiB 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)))
Rules
80×lower-fma.f64
80×lower-fma.f32
48×lower-*.f64
48×lower-*.f32
36×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
01334
11834
22234
32834
43634
55134
68334
710934
815334
916834
1017634
017634
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)))
(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))

localize92.0ms (0.4%)

Memory
-34.6MiB live, 129.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 1 binary64) n)
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy7.485592129970896
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy24.306686657069665
(-.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
37.0ms85×2valid
35.0ms122×1valid
4.0ms49×0valid
Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-pow: 43.0ms (67.9% of total)
adjust: 10.0ms (15.8% of total)
ival-div: 4.0ms (6.3% of total)
ival-add: 3.0ms (4.7% of total)
ival-sub: 3.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0%)

Memory
9.3MiB live, 9.3MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) n) (patch (/.f64 #s(literal 1 binary64) n) #<representation binary64>) () ())
Outputs
#s(alt (- 1 (exp (/ (log x) n))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x n)) (exp (/ (log x) n))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (- (+ 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))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (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) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (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) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (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) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) (taylor 0 n) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) (taylor 0 n) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) (taylor 0 n) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) (taylor 0 n) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (- (log (+ 1 x)) (log x)) n) (taylor inf n) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (taylor inf n) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (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) (taylor inf n) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (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) (taylor inf n) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) (taylor -inf n) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 n) (taylor -inf n) (#s(alt (/.f64 #s(literal 1 binary64) n) (patch (/.f64 #s(literal 1 binary64) n) #<representation binary64>) () ())) ())
#s(alt (/ 1 n) (taylor -inf n) (#s(alt (/.f64 #s(literal 1 binary64) n) (patch (/.f64 #s(literal 1 binary64) n) #<representation binary64>) () ())) ())
#s(alt (/ 1 n) (taylor -inf n) (#s(alt (/.f64 #s(literal 1 binary64) n) (patch (/.f64 #s(literal 1 binary64) n) #<representation binary64>) () ())) ())
Calls

18 calls:

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

simplify269.0ms (1.1%)

Memory
17.8MiB live, 391.3MiB allocated
Algorithm
1×egg-herbie
Rules
11 538×lower-fma.f64
11 538×lower-fma.f32
4 136×lower-*.f64
4 136×lower-*.f32
3 354×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02401483
17001377
219661308
369321308
081281194
Stop Event
1×iter limit
1×node limit
Counts
72 → 70
Calls
Call 1
Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(/ (exp (* -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 (/ (+ (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 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(* -1 (/ (- (* -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 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (/ (+ (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 (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
1
(+ 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)) 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 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
Outputs
(- 1 (exp (/ (log x) n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.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)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)))) (*.f64 x (*.f64 x x))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 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 (fma.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 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 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 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) x))) 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))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)))) x))) x)) x)) x)
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.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 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log.f64 x)))) 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)
(/.f64 (+.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (log1p.f64 x)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log.f64 x)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n)))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (log.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (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 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 x (fma.f64 x (+.f64 (/.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))
(+ 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 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 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))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.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))))
(fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))))
(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 (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 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 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (fma.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 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 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 (/ (+ (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 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) x))) x)) x))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 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))))
(+.f64 (/.f64 (log1p.f64 x) n) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (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 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n)) n)) n))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)

rewrite267.0ms (1.1%)

Memory
-1.8MiB live, 332.5MiB allocated
Rules
3 822×lower-fma.f64
3 822×lower-fma.f32
3 746×lower-*.f64
3 746×lower-*.f32
3 490×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
01326
16326
240726
3433526
0843322
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 271
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
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 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))))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 0 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (/.f64 #s(literal 1 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)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 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)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(fma.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64))) (*.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3/2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64)))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))) #s(literal 3 binary64)))) (fma.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))) (-.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(fma.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log1p.f64 (*.f64 x (*.f64 x x)))) (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) x)))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 n)))
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(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) n)) (/.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 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
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(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) n))
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64))
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eval54.0ms (0.2%)

Memory
13.6MiB live, 91.4MiB allocated
Compiler

Compiled 10 943 to 1 270 computations (88.4% saved)

prune75.0ms (0.3%)

Memory
-23.3MiB live, 135.1MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New39612408
Fresh000
Picked011
Done000
Total39613409
Accuracy
99.9%
Counts
409 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.6%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
✓56.4%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶61.9%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
18.8%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 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))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
26.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.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))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶34.9%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶42.7%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
27.6%
(*.f64 (/.f64 #s(literal 1 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)))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
▶40.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
49.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
60.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
59.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n))
▶55.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
Compiler

Compiled 601 to 318 computations (47.1% saved)

simplify212.0ms (0.9%)

Memory
36.1MiB live, 229.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
cost-diff384
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
cost-diff640
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))
cost-diff7360
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
cost-diff0
(log1p.f64 x)
cost-diff0
(-.f64 (log1p.f64 x) (log.f64 x))
cost-diff0
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
cost-diff0
(/.f64 x n)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 x n))
cost-diff0
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
cost-diff0
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
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
(log1p.f64 x)
cost-diff0
(/.f64 (log1p.f64 x) n)
cost-diff0
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff6144
(exp.f64 (/.f64 (log1p.f64 x) n))
Rules
8 654×lower-fma.f32
8 652×lower-fma.f64
2 938×lower-*.f32
2 932×lower-*.f64
1 550×lower-+.f32
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
035309
059309
182309
2118309
3220309
4409300
5741288
61322286
72478278
85180266
97888266
08146266
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
n
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
#s(literal 1 binary64)
(/.f64 x n)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 n n))
(*.f64 n n)
(/.f64 #s(literal 1/2 binary64) (*.f64 x n))
(*.f64 x n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
Outputs
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
n
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
#s(literal 1 binary64)
(/.f64 x n)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) x))) (*.f64 x n)))
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) x))) (*.f64 x n))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) x))) n)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x n))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 n n))
(*.f64 n n)
(/.f64 #s(literal 1/2 binary64) (*.f64 x n))
(*.f64 x n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)

localize314.0ms (1.3%)

Memory
-4.8MiB live, 319.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.1953125000000004
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))
accuracy3.2289616647651003
(*.f64 x (*.f64 n n))
accuracy10.066351208832565
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
accuracy24.965639973840602
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
accuracy0
(log.f64 x)
accuracy0.19921875
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
accuracy17.728879919989964
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
accuracy26.908851502974187
(-.f64 (log1p.f64 x) (log.f64 x))
accuracy0
(/.f64 #s(literal 1 binary64) n)
accuracy0
(+.f64 #s(literal 1 binary64) (/.f64 x n))
accuracy21.61481289250517
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
accuracy24.306686657069665
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy0
(/.f64 #s(literal 1 binary64) n)
accuracy12.77170871295216
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy24.306686657069665
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy0
(log1p.f64 x)
accuracy0.015261291389095776
(exp.f64 (/.f64 (log1p.f64 x) n))
accuracy0.13671875
(/.f64 (log1p.f64 x) n)
accuracy24.306686657069665
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Samples
120.0ms114×1valid
111.0ms95×2valid
23.0ms37×0exit
3.0ms10×0valid
Compiler

Compiled 274 to 30 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 209.0ms
ival-log1p: 66.0ms (31.5% of total)
ival-pow: 38.0ms (18.1% of total)
adjust: 25.0ms (11.9% of total)
ival-div: 25.0ms (11.9% of total)
ival-mult: 21.0ms (10% of total)
ival-sub: 11.0ms (5.3% of total)
ival-log: 9.0ms (4.3% of total)
ival-exp: 8.0ms (3.8% of total)
ival-add: 6.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series182.0ms (0.7%)

Memory
-14.1MiB live, 294.9MiB allocated
Counts
21 → 456
Calls
Call 1
Inputs
#s(alt (exp.f64 (/.f64 (log1p.f64 x) n)) (patch (exp.f64 (/.f64 (log1p.f64 x) n)) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())
#s(alt (/.f64 (log1p.f64 x) n) (patch (/.f64 (log1p.f64 x) n) #<representation binary64>) () ())
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (patch #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) n) (patch (/.f64 #s(literal 1 binary64) n) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (patch #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 x n)) #<representation binary64>) () ())
#s(alt (/.f64 x n) (patch (/.f64 x n) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (patch (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) #<representation binary64>) () ())
#s(alt (-.f64 (log1p.f64 x) (log.f64 x)) (patch (-.f64 (log1p.f64 x) (log.f64 x)) #<representation binary64>) () ())
#s(alt (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (patch (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (patch (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x) (patch (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) #<representation binary64>) () ())
#s(alt (log.f64 x) (patch (log.f64 x) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 n n)) (patch (*.f64 x (*.f64 n n)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (/.f64 (log1p.f64 x) n)) (patch (exp.f64 (/.f64 (log1p.f64 x) n)) #<representation binary64>) () ())) ())
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#s(alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (taylor 0 x) (#s(alt (exp.f64 (/.f64 (log1p.f64 x) n)) (patch (exp.f64 (/.f64 (log1p.f64 x) n)) #<representation binary64>) () ())) ())
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Calls

114 calls:

TimeVariablePointExpression
41.0ms
n
@0
(/ (log (+ 1 x)) n)
32.0ms
n
@0
(/ (- (log (+ 1 x)) (log x)) n)
17.0ms
x
@0
(pow x (/ 1 n))
17.0ms
n
@inf
(/ (log (+ 1 x)) n)
14.0ms
x
@-inf
(pow x (/ 1 n))

simplify304.0ms (1.2%)

Memory
25.2MiB live, 406.6MiB allocated
Algorithm
1×egg-herbie
Rules
8 204×lower-fma.f64
8 204×lower-fma.f32
5 078×lower-+.f64
5 078×lower-+.f32
3 836×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06109445
118648813
254158713
083798100
Stop Event
1×iter limit
1×node limit
Counts
456 → 455
Calls
Call 1
Inputs
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (/ (+ (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 (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
1
(+ 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)) 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 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(/ (exp (* -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)
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(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
Outputs
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 x (fma.f64 x (+.f64 (/.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))
(+ 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 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 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))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (*.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 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (*.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 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (*.f64 x n)) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (*.f64 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 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (/.f64 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) n)) 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)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) n) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n))) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/3 binary64) n)) x))) x)) x))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+.f64 (/.f64 (log1p.f64 x) n) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) #s(literal 1 binary64)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
(+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 (log1p.f64 x) n)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (neg.f64 (log1p.f64 x))) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n)) n))
(- 1 (exp (/ (log x) n)))
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(+.f64 (fma.f64 x (fma.f64 x (+.f64 (/.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 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) n)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) n)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (*.f64 x (*.f64 x x)))) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) n))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (*.f64 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 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 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 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) n) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n))) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/3 binary64) n)) x))) 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))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) n) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n))) (/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/3 binary64) n))) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) x))) x)) x)) x)
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.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)
(-.f64 (/.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (log1p.f64 x))) (log.f64 x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(/.f64 (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (log1p.f64 x)))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (log.f64 x))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
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(/.f64 (-.f64 (log.f64 x) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n))) (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 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 #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 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 n))) n))) (neg.f64 n))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))

rewrite319.0ms (1.3%)

Memory
15.5MiB live, 427.5MiB allocated
Rules
4 556×lower-fma.f32
4 554×lower-fma.f64
4 474×lower-/.f32
4 458×lower-/.f64
3 858×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035243
059231
1261222
22096214
08455211
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 638
Calls
Call 1
Inputs
(exp.f64 (/.f64 (log1p.f64 x) n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(/.f64 x n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(log.f64 x)
(*.f64 x (*.f64 n n))
Outputs
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (*.f64 (log1p.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)) (*.f64 (log1p.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) n)))
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log1p.f64 x) (neg.f64 n))))
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log1p.f64 x))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) n))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n))))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n))))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (/.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
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(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (*.f64 n (*.f64 n n))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (-.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) (*.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))))))
(*.f64 (pow.f64 (/.f64 x (-.f64 (*.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) (/.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 n n)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)) x))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (*.f64 n (*.f64 n n)))) x) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (-.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) (*.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (-.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) (*.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))))) x))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) (/.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 n n))) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) (/.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 n n))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)))) x))
(*.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (-.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) (*.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))) x) (/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (-.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) (*.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))))))
(*.f64 (/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) (/.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 n n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))) x))
(log.f64 x)
(+.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(*.f64 x (*.f64 n n))
(*.f64 n (*.f64 x n))
(*.f64 (*.f64 n n) x)
(*.f64 (*.f64 x n) n)

eval214.0ms (0.9%)

Memory
-13.5MiB live, 288.3MiB allocated
Compiler

Compiled 41 161 to 2 976 computations (92.8% saved)

prune246.0ms (1%)

Memory
1.4MiB live, 337.3MiB allocated
Pruning

30 alts after pruning (28 fresh and 2 done)

PrunedKeptTotal
New1 413251 438
Fresh437
Picked325
Done101
Total1 421301 451
Accuracy
100.0%
Counts
1 451 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.9%
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
27.9%
(-.f64 (/.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (/.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
26.4%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
26.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.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))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
29.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
19.7%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n (*.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓34.9%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
11.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓42.7%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶31.8%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
27.9%
(*.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
42.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
▶60.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
59.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n))
55.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
▶47.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n)))
38.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
55.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
▶49.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
44.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
27.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
27.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
32.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x))
▶55.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
38.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 (/.f64 n (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
38.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64))))
55.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
39.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) x)))
32.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))))
43.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
Compiler

Compiled 1 072 to 576 computations (46.3% saved)

simplify189.0ms (0.8%)

Memory
3.5MiB live, 195.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (log1p.f64 x) n)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n)))
cost-diff320
(-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x)))
cost-diff640
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
cost-diff0
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
cost-diff0
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
cost-diff0
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
cost-diff0
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
cost-diff0
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
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)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) n)
cost-diff0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff0
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
Rules
4 276×lower-*.f32
4 268×lower-*.f64
3 430×lower-fma.f64
3 430×lower-fma.f32
1 468×lower-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044314
067314
194308
2140300
3249296
4425296
5915296
62429296
74084296
85918296
96741296
107032296
117200296
08100296
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
(*.f64 x n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
#s(literal 1 binary64)
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
n
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x #s(literal 1 binary64))
x
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n)))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x)))
(*.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(*.f64 n (log.f64 x))
(log.f64 x)
(*.f64 n n)
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
(*.f64 x n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
#s(literal 1 binary64)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
#s(literal 1 binary64)
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
n
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x #s(literal 1 binary64))
x
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x)))
(*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (log1p.f64 x) n)
(*.f64 n (log1p.f64 x))
(log1p.f64 x)
x
n
(*.f64 n (log.f64 x))
(log.f64 x)
(*.f64 n n)

localize291.0ms (1.2%)

Memory
-2.0MiB live, 466.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.25
(*.f64 n (log.f64 x))
accuracy19.480093968081647
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
accuracy24.25623232815372
(-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x)))
accuracy26.50290653614765
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n)))
accuracy0.23828125
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
accuracy0.8235121629912971
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
accuracy26.50290653614765
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
accuracy26.81051638754913
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
accuracy0.22265625
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)
accuracy0.37890625
(/.f64 #s(literal 1/3 binary64) x)
accuracy26.50290653614765
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
accuracy33.545803396495614
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
accuracy17.439752247678214
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy24.306686657069665
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
accuracy27.45652178453095
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
accuracy0
(/.f64 #s(literal 1 binary64) n)
accuracy0
(*.f64 x n)
accuracy4.58911514652432
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
accuracy24.459603636442772
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
Samples
125.0ms95×2valid
105.0ms143×1valid
5.0ms18×0valid
Compiler

Compiled 241 to 32 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 201.0ms
ival-pow: 54.0ms (26.9% of total)
ival-log: 47.0ms (23.4% of total)
ival-div: 29.0ms (14.4% of total)
adjust: 19.0ms (9.5% of total)
ival-mult: 16.0ms (8% of total)
const: 11.0ms (5.5% of total)
ival-sub: 9.0ms (4.5% of total)
ival-log1p: 7.0ms (3.5% of total)
ival-add: 7.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series74.0ms (0.3%)

Memory
13.5MiB live, 162.1MiB allocated
Counts
22 → 468
Calls
Call 1
Inputs
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (patch (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) #<representation binary64>) () ())
#s(alt (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) n) (patch (/.f64 #s(literal 1 binary64) n) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) (patch (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (patch #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (patch #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n) (patch (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) (patch #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (patch (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))) #<representation binary64>) () ())
#s(alt (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (patch (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (patch (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n)) (patch (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (patch (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))) #<representation binary64>) () ())
#s(alt (*.f64 (log1p.f64 x) n) (patch (*.f64 (log1p.f64 x) n) #<representation binary64>) () ())
#s(alt (*.f64 x n) (patch (*.f64 x n) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())
Outputs
#s(alt (- 1 (exp (/ (log x) n))) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x n)) (exp (/ (log x) n))) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) #<representation binary64>) () ())) ())
#s(alt (- (+ 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))) (taylor 0 x) (#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) #<representation binary64>) () ())) ())
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#s(alt (/ 1/3 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/3 binary64) x) (patch (/.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* n (log x)) (taylor 0 n) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* n (log x)) (taylor 0 n) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* n (log x)) (taylor 0 n) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* n (log x)) (taylor 0 n) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* n (log x)) (taylor inf n) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* n (log x)) (taylor inf n) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* n (log x)) (taylor inf n) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* n (log x)) (taylor inf n) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* n (log x)) (taylor -inf n) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* n (log x)) (taylor -inf n) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* n (log x)) (taylor -inf n) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* n (log x)) (taylor -inf n) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* n (log x)) (taylor 0 x) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* n (log x)) (taylor 0 x) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* n (log x)) (taylor 0 x) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* n (log x)) (taylor 0 x) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (log (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (log (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (log (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (log (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* n (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* n (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* n (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* n (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 n (log.f64 x)) (patch (*.f64 n (log.f64 x)) #<representation binary64>) () ())) ())
Calls

117 calls:

TimeVariablePointExpression
17.0ms
n
@0
(/ 1 (/ n (log (/ (+ x 1) x))))
10.0ms
n
@inf
(/ 1 (/ n (log (/ (+ x 1) x))))
5.0ms
x
@-inf
(/ (pow x (/ 1 n)) (* x n))
5.0ms
x
@inf
(/ (pow x (/ 1 n)) (* x n))
1.0ms
n
@-inf
(/ (- (* (log (+ 1 x)) n) (* n (log x))) (* n n))

simplify305.0ms (1.2%)

Memory
20.9MiB live, 435.3MiB allocated
Algorithm
1×egg-herbie
Rules
7 502×lower-fma.f64
7 502×lower-fma.f32
4 322×lower-*.f64
4 322×lower-*.f32
3 924×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05658070
117147564
249037453
081816896
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
Calls
Call 1
Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(/ (exp (* -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 (/ (+ (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 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(* -1 (/ (- (* -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))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ 1 (* n x))
(/ (+ (/ 1 x) (/ (log x) (* n x))) n)
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)
(/ 1 (* n 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))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
1
(+ 1 (/ (log x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
1
(+ 1 (/ (log x) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 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)))
(/ (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 (/ (+ (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 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(* -1 (/ (- (* -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 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (/ (+ (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))
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(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
1
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1
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(exp (* -1 (/ (log (/ 1 x)) n)))
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1
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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))
(* n x)
(* x (+ n (* -1/2 (* n x))))
(* x (+ n (* x (+ (* -1/2 n) (* 1/3 (* n x))))))
(* x (+ n (* x (+ (* -1/2 n) (* x (+ (* -1/4 (* n x)) (* 1/3 n)))))))
(* -1 (* n (log (/ 1 x))))
(+ (* -1 (* n (log (/ 1 x)))) (/ n x))
(+ (* -1 (* n (log (/ 1 x)))) (+ (* -1/2 (/ n (pow x 2))) (/ n x)))
(+ (* -1 (* n (log (/ 1 x)))) (+ (* -1/2 (/ n (pow x 2))) (+ (* 1/3 (/ n (pow x 3))) (/ n x))))
(* n (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* n (+ (log -1) (* -1 (log (/ -1 x))))) (/ n x))
(+ (* -1 (/ (+ (* -1 n) (* 1/2 (/ n x))) x)) (* n (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (+ (* -1 n) (* -1 (/ (+ (* -1/2 n) (* 1/3 (/ n x))) x))) x)) (* n (+ (log -1) (* -1 (log (/ -1 x))))))
(* n (log (+ 1 x)))
(* n (log (+ 1 x)))
(* n (log (+ 1 x)))
(* n (log (+ 1 x)))
(* n (log (+ 1 x)))
(* n (log (+ 1 x)))
(* n (log (+ 1 x)))
(* n (log (+ 1 x)))
(* n (log (+ 1 x)))
(* n (log (+ 1 x)))
(* n (log (+ 1 x)))
(* n (log (+ 1 x)))
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(* n x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(/ 1/3 x)
(* n (log x))
(* n (log x))
(* n (log x))
(* n (log x))
(* n (log x))
(* n (log x))
(* n (log x))
(* n (log x))
(* n (log x))
(* n (log x))
(* n (log x))
(* n (log x))
(* n (log x))
(* n (log x))
(* n (log x))
(* n (log x))
(* -1 (* n (log (/ 1 x))))
(* -1 (* n (log (/ 1 x))))
(* -1 (* n (log (/ 1 x))))
(* -1 (* n (log (/ 1 x))))
(* n (+ (log -1) (* -1 (log (/ -1 x)))))
(* n (+ (log -1) (* -1 (log (/ -1 x)))))
(* n (+ (log -1) (* -1 (log (/ -1 x)))))
(* n (+ (log -1) (* -1 (log (/ -1 x)))))
Outputs
(- 1 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)))) (*.f64 x (*.f64 x x)))) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (*.f64 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 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 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 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) n) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n))) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 #s(literal -1/6 binary64) (*.f64 n (*.f64 n n))))) x))) 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))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) n) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 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) (*.f64 n (*.f64 n n)))))) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)))) x))) (neg.f64 x))) x)) x)
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.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)
(-.f64 (/.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (log1p.f64 x))) (log.f64 x)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n)) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(/.f64 (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (log1p.f64 x)))) (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 n n))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (log.f64 x))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (log.f64 x) (+.f64 (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 #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))
(* -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 (log1p.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.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 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n))) (neg.f64 n))
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (*.f64 x n))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (*.f64 x n))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (*.f64 x n))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (*.f64 x n))
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ 1 (* n x))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/ (+ (/ 1 x) (/ (log x) (* n x))) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 x n))) n)
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(* n (log (+ 1 x)))
(*.f64 n (log1p.f64 x))
(* n (log (+ 1 x)))
(*.f64 n (log1p.f64 x))
(* n (log (+ 1 x)))
(*.f64 n (log1p.f64 x))
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(* n x)
(*.f64 x n)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(* n (log x))
(*.f64 (log.f64 x) n)
(* n (log x))
(*.f64 (log.f64 x) n)
(* n (log x))
(*.f64 (log.f64 x) n)
(* n (log x))
(*.f64 (log.f64 x) n)
(* n (log x))
(*.f64 (log.f64 x) n)
(* n (log x))
(*.f64 (log.f64 x) n)
(* n (log x))
(*.f64 (log.f64 x) n)
(* n (log x))
(*.f64 (log.f64 x) n)
(* n (log x))
(*.f64 (log.f64 x) n)
(* n (log x))
(*.f64 (log.f64 x) n)
(* n (log x))
(*.f64 (log.f64 x) n)
(* n (log x))
(*.f64 (log.f64 x) n)
(* n (log x))
(*.f64 (log.f64 x) n)
(* n (log x))
(*.f64 (log.f64 x) n)
(* n (log x))
(*.f64 (log.f64 x) n)
(* n (log x))
(*.f64 (log.f64 x) n)
(* -1 (* n (log (/ 1 x))))
(*.f64 (log.f64 x) n)
(* -1 (* n (log (/ 1 x))))
(*.f64 (log.f64 x) n)
(* -1 (* n (log (/ 1 x))))
(*.f64 (log.f64 x) n)
(* -1 (* n (log (/ 1 x))))
(*.f64 (log.f64 x) n)
(* n (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 n (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))
(* n (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 n (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))
(* n (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 n (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))
(* n (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 n (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))))

rewrite307.0ms (1.2%)

Memory
14.2MiB live, 239.7MiB allocated
Rules
4 500×lower-/.f32
4 480×lower-/.f64
4 198×lower-*.f32
4 190×lower-*.f64
2 480×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044264
067252
1263230
21897230
08081230
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 719
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n)))
(*.f64 (log1p.f64 x) n)
(*.f64 x n)
(/.f64 #s(literal 1/3 binary64) x)
(*.f64 n (log.f64 x))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x (neg.f64 n))))
(neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x (neg.f64 n))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 x n)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 n (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))))))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 x (neg.f64 n)))
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)
(/.f64 (neg.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (*.f64 x (neg.f64 n))))
(/.f64 (neg.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))) (neg.f64 n))
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (*.f64 x n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (neg.f64 (neg.f64 (*.f64 x (neg.f64 n)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))))) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (*.f64 x (neg.f64 n)))
(/.f64 (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (neg.f64 x))
(pow.f64 (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 n (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(*.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 n))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (*.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(*.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (*.f64 x n)))
(*.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) x) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) n))
(*.f64 (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) n) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) x))
(*.f64 (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) n) (/.f64 (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 n (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 n (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (neg.f64 n)))
(*.f64 (/.f64 (neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) n) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) x) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (neg.f64 n)))
(*.f64 (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (neg.f64 n)) (/.f64 (neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) x))
(*.f64 (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (neg.f64 x)) (/.f64 (neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) n))
(*.f64 (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (*.f64 x n)))
(*.f64 (/.f64 (neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (*.f64 x n)))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 (log.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(pow.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 x))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 n)))
(/.f64 #s(literal -1 binary64) (neg.f64 n))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 n))))
(pow.f64 n #s(literal -1 binary64))
(pow.f64 (*.f64 n n) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 n)) #s(literal -1 binary64))
(pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 n)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64)))
(+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))))
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(*.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) n) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log.f64 x)) #s(literal 3 binary64))) n) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 n (log.f64 x)) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64)))) n))
(*.f64 (/.f64 (*.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) n))
(*.f64 (/.f64 (*.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (fma.f64 (*.f64 n (log.f64 x)) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (fma.f64 (*.f64 n (log.f64 x)) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64)))))
(+.f64 (*.f64 n (log1p.f64 x)) (neg.f64 (*.f64 n (log.f64 x))))
(+.f64 (neg.f64 (*.f64 n (log.f64 x))) (*.f64 n (log1p.f64 x)))
(-.f64 (*.f64 n (log1p.f64 x)) (*.f64 n (log.f64 x)))
(-.f64 (/.f64 (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 n (log.f64 x)) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 n (log.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 n (log.f64 x)) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64)) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (/.f64 (pow.f64 (*.f64 n (log.f64 x)) #s(literal 2 binary64)) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 n (log1p.f64 x)) (neg.f64 (*.f64 n (log.f64 x))))) (/.f64 (pow.f64 (*.f64 n (log.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 n (log1p.f64 x)) (neg.f64 (*.f64 n (log.f64 x))))))
(fma.f64 n (log1p.f64 x) (neg.f64 (*.f64 n (log.f64 x))))
(fma.f64 n (neg.f64 (log.f64 x)) (*.f64 n (log1p.f64 x)))
(fma.f64 (log1p.f64 x) n (neg.f64 (*.f64 n (log.f64 x))))
(fma.f64 (log.f64 x) (neg.f64 n) (*.f64 n (log1p.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)) (*.f64 n (log1p.f64 x)))
(fma.f64 (neg.f64 n) (log.f64 x) (*.f64 n (log1p.f64 x)))
(fma.f64 (neg.f64 (log.f64 x)) n (*.f64 n (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 n (log.f64 x)) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 n (log.f64 x)) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log.f64 x)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 n (log.f64 x)) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 n (log.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 n (log1p.f64 x)) (neg.f64 (*.f64 n (log.f64 x)))))))
(/.f64 (*.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (*.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (-.f64 (*.f64 n (log1p.f64 x)) (neg.f64 (*.f64 n (log.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 n (log.f64 x)) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 n (log.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 n (log1p.f64 x)) (neg.f64 (*.f64 n (log.f64 x))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))) (neg.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))) (neg.f64 (-.f64 (*.f64 n (log1p.f64 x)) (neg.f64 (*.f64 n (log.f64 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 n (log.f64 x)) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 n (log.f64 x)) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64))) (pow.f64 (*.f64 n (log.f64 x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 n (log.f64 x)) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64))) (fma.f64 (*.f64 n (log.f64 x)) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64)) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (*.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 n (log.f64 x)) #s(literal 2 binary64)))) (*.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log.f64 x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 n (log.f64 x)) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))) (neg.f64 (neg.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))))
(pow.f64 (/.f64 (fma.f64 (*.f64 n (log.f64 x)) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))) #s(literal -1 binary64))
(*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (-.f64 (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 n (log.f64 x)) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 n (log1p.f64 x)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 #s(literal 1 binary64) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (/.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) n) (/.f64 (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
(*.f64 n (log1p.f64 x))
(*.f64 (log1p.f64 x) n)
(*.f64 x n)
(*.f64 n x)
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1/3 binary64) (neg.f64 x))
(/.f64 #s(literal -1/3 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))
(*.f64 n (log.f64 x))
(*.f64 (log.f64 x) n)

eval291.0ms (1.2%)

Memory
-32.4MiB live, 206.2MiB allocated
Compiler

Compiled 25 672 to 2 062 computations (92% saved)

prune303.0ms (1.2%)

Memory
-6.0MiB live, 199.2MiB allocated
Pruning

38 alts after pruning (33 fresh and 5 done)

PrunedKeptTotal
New1 169181 187
Fresh81523
Picked235
Done022
Total1 179381 217
Accuracy
100.0%
Counts
1 217 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶27.9%
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
27.9%
(-.f64 (/.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (/.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
26.4%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
▶9.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
9.4%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓34.9%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
11.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓42.7%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓31.8%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
27.9%
(*.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
✓60.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
▶61.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
55.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) n))
55.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
59.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n))
55.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
21.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (*.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
55.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
▶43.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
47.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 (+.f64 n (/.f64 (fma.f64 n #s(literal -1/2 binary64) (/.f64 (*.f64 n #s(literal 1/3 binary64)) x)) x)) x)) (*.f64 n n)))
42.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
35.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (neg.f64 (*.f64 (log.f64 x) n))) (*.f64 n n)))
40.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))) n))
49.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) x)) x)) n))
✓49.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
44.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
27.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
27.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
▶34.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
43.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
32.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x))
48.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))))
27.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (log (/ (+ x 1) x)) (neg.f64 (log.f64 x))))))
35.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
16.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
38.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64))))
55.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
32.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))))
Compiler

Compiled 1 306 to 700 computations (46.4% saved)

simplify454.0ms (1.8%)

Memory
31.8MiB live, 369.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))
cost-diff0
(-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))
cost-diff0
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
cost-diff320
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))
cost-diff0
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
cost-diff256
(fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
cost-diff320
(+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))
cost-diff640
(fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
cost-diff0
#s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))
cost-diff0
#s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)))))
cost-diff0
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
cost-diff0
(*.f64 x n)
cost-diff0
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))
cost-diff0
(pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))
cost-diff0
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
Rules
25 260×lower-fma.f32
25 252×lower-fma.f64
3 512×lower-*.f32
3 498×lower-*.f64
3 122×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064699
0103661
1177661
2325661
3735661
42288661
54638655
65893655
76207655
86466655
96722655
106970655
117839655
08220639
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)
(pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))
x
(+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
#s(literal -1 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n))
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x n)
x
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n)
#s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)))))
#s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)))
(fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
x
(+.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1/3 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
n
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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)))
(fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))
x
(fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))
(fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))
#s(literal 1/6 binary64)
(*.f64 n (*.f64 n n))
n
(*.f64 n n)
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))
(/.f64 #s(literal 1/3 binary64) n)
#s(literal 1/3 binary64)
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/2 binary64) n)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
(-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))
(*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))
x
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) n)
n
(+.f64 (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))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)
(pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))
x
(+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
#s(literal -1 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n))
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x n)
x
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n)
#s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)))))
#s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)))
(fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
x
(+.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1/3 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
n
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (+.f64 (fma.f64 x (*.f64 (/.f64 x n) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) (*.f64 (/.f64 x (*.f64 n n)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (+.f64 (fma.f64 x (*.f64 (/.f64 x n) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) (*.f64 (/.f64 x (*.f64 n n)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))
(fma.f64 x (+.f64 (fma.f64 x (*.f64 (/.f64 x n) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) (*.f64 (/.f64 x (*.f64 n n)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) #s(literal 1 binary64))
x
(fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(+.f64 (fma.f64 x (*.f64 (/.f64 x n) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) (*.f64 (/.f64 x (*.f64 n n)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n))
(+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))
(fma.f64 (/.f64 x (*.f64 n n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) (fma.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(fma.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))
#s(literal 1/6 binary64)
(*.f64 n (*.f64 n n))
n
(*.f64 n n)
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))
(/.f64 #s(literal 1/3 binary64) n)
#s(literal 1/3 binary64)
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(/.f64 #s(literal -1/2 binary64) n)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))
(-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
x
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) n)
n
(+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))
(+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))

localize464.0ms (1.9%)

Memory
6.1MiB live, 729.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))
accuracy0.6796854358302059
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
accuracy1.1468904153677946
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy24.298513444111936
(-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))
accuracy2.190587150336645
(fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
accuracy6.870848578953676
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
accuracy17.53214962566146
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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)))
accuracy24.306686657069665
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
accuracy0.1328125
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n)
accuracy6.709380231344487
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
accuracy12.764380770286667
(/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)))
accuracy20.936068833296886
#s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)))))
accuracy0
(*.f64 x n)
accuracy3.1125609026994363
(/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n))
accuracy6.870848578953676
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
accuracy20.76823867235938
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
accuracy0
(+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))
accuracy0.10546875
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)
accuracy0.1401962676749853
(pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))
accuracy20.76823867235938
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
Samples
211.0ms84×2valid
126.0ms84×1valid
34.0ms75×0exit
10.0ms10×1exit
1.0ms3×0valid
Compiler

Compiled 490 to 58 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 336.0ms
adjust: 109.0ms (32.4% of total)
ival-pow: 65.0ms (19.3% of total)
ival-add: 53.0ms (15.8% of total)
ival-mult: 42.0ms (12.5% of total)
ival-div: 36.0ms (10.7% of total)
const: 10.0ms (3% of total)
ival-sub: 7.0ms (2.1% of total)
ival-log: 7.0ms (2.1% of total)
ival-log1p: 7.0ms (2.1% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series75.0ms (0.3%)

Memory
-13.3MiB live, 150.5MiB allocated
Counts
23 → 492
Calls
Call 1
Inputs
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n) (patch (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n) #<representation binary64>) () ())
#s(alt (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) (patch (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)) (patch (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)) (patch (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)) #<representation binary64>) () ())
#s(alt #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (patch #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x n) (patch (*.f64 x n) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n)) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n) (patch (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n) #<representation binary64>) () ())
#s(alt #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) (patch #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)))) (patch #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (patch (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (patch (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) #<representation binary64>) () ())
#s(alt (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (patch (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) (patch (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)) (patch (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (patch (/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (patch (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (patch (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) (patch (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))) (patch #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))) #<representation binary64>) () ())
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Outputs
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#s(alt (/ (- (+ (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) (taylor inf n) (#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)) #<representation binary64>) () ())) ())
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Calls

123 calls:

TimeVariablePointExpression
5.0ms
x
@0
(/ (- (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow x (* 2 (/ 1 n)))) (+ (pow x (/ 1 n)) (pow (+ x 1) (/ 1 n))))
4.0ms
x
@-inf
(/ (- (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow x (* 2 (/ 1 n)))) (+ (pow x (/ 1 n)) (pow (+ x 1) (/ 1 n))))
3.0ms
x
@inf
(+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n)))
3.0ms
x
@inf
(/ (- (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow x (* 2 (/ 1 n)))) (+ (pow x (/ 1 n)) (pow (+ x 1) (/ 1 n))))
2.0ms
n
@inf
(/ (- (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow x (* 2 (/ 1 n)))) (+ (pow x (/ 1 n)) (pow (+ x 1) (/ 1 n))))

simplify355.0ms (1.4%)

Memory
30.9MiB live, 454.0MiB allocated
Algorithm
1×egg-herbie
Rules
8 298×lower-fma.f64
8 298×lower-fma.f32
6 272×lower-+.f64
6 272×lower-+.f32
4 992×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106513998
1332013203
0824012298
Stop Event
1×iter limit
1×node limit
Counts
492 → 492
Calls
Call 1
Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(/ (exp (* -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)
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(+ (* 2 (/ (pow (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 2) (* n x))) (pow (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 2))
(+ (* -1 (/ (+ (* -2 (/ (pow (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 2) n)) (* -1 (/ (+ (* 2 (* (pow (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (/ (pow (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 2) (pow n 2))) x))) x)) (pow (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 2))
(+ (* -1 (/ (+ (* -2 (/ (pow (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 2) n)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) n)) (* 2 (* (pow (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 2) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))))) x)) (+ (* 2 (* (pow (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (/ (pow (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 2) (pow n 2)))) x))) x)) (pow (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 2))
(pow (exp (/ (log (+ 1 x)) n)) 2)
(pow (exp (/ (log (+ 1 x)) n)) 2)
(pow (exp (/ (log (+ 1 x)) n)) 2)
(pow (exp (/ (log (+ 1 x)) n)) 2)
1
(+ 1 (* 2 (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2)))))
(+ 1 (+ (* 1/3 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 2 (/ (log (+ 1 x)) n)) (+ (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (pow (log (+ 1 x)) 3) (pow n 3))))))
1
(+ 1 (* 2 (/ (log (+ 1 x)) n)))
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow (log (+ 1 x)) 3)) (* -1/3 (pow (log (+ 1 x)) 3))) n)) (* 2 (pow (log (+ 1 x)) 2))) n))) n)))
(/ 1/3 (pow x 3))
(/ (+ 1/3 (* -1/2 x)) (pow x 3))
(/ (+ 1/3 (* x (- x 1/2))) (pow x 3))
(/ (+ 1/3 (* x (- x 1/2))) (pow x 3))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ 1 x)
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (/ (+ (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 (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
1
(+ 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)) 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 n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (/ (+ (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 (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
1
(+ 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)) n))
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(+ 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 #s(literal 1 binary64) (/.f64 x n)) (exp.f64 (/.f64 (log.f64 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)))
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(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 (exp.f64 (/.f64 (log.f64 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))) (- (+ (* 1/24 (/ 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 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
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(* -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 (neg.f64 (fma.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 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n))) (neg.f64 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 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (neg.f64 n)) (/.f64 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n))) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (-.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (neg.f64 n)) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n))) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) x)))) x)) x)) (neg.f64 x))
(- (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 (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
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(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 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)))
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
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(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (log1p.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (log1p.f64 x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (log.f64 x)))) 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)
(/.f64 (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (log1p.f64 x)))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (log.f64 x))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (+.f64 (neg.f64 (log1p.f64 x)) (log.f64 x)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) (neg.f64 n))
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(+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x (*.f64 x x)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))))
(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 (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 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 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (neg.f64 (fma.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 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 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 (/ (+ (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 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (-.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (neg.f64 n)) (/.f64 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n))) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))) x)) x))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+.f64 (/.f64 (log1p.f64 x) n) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1 binary64)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (/.f64 (log1p.f64 x) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n (*.f64 n n))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log1p.f64 x))) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n)) n)) n))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 x (fma.f64 x (+.f64 (/.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))
(+ 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 x (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (+.f64 (/.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))
(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 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.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 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.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 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x (*.f64 x x)))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))))
(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 (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 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 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (neg.f64 (fma.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 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 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 (/ (+ (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 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (-.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (neg.f64 n)) (/.f64 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n))) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))) x)) x))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+.f64 (/.f64 (log1p.f64 x) n) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1 binary64)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (/.f64 (log1p.f64 x) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n (*.f64 n n))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log1p.f64 x))) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n)) n)) n))

rewrite319.0ms (1.3%)

Memory
-14.5MiB live, 343.1MiB allocated
Rules
4 566×lower-*.f32
4 552×lower-*.f64
3 988×lower-fma.f32
3 980×lower-fma.f64
2 680×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064524
0103471
1494471
24738471
08325434
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 367
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)
(pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n))
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
(*.f64 x n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n)
#s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)))))
#s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n))
(fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
(-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))
(*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
(exp.f64 (*.f64 (log.f64 (*.f64 n (pow.f64 x (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)) (log.f64 x))))
(exp.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)) (log.f64 x) (*.f64 (log.f64 n) #s(literal -1 binary64))))
(neg.f64 (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) (neg.f64 n)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))) n))
(/.f64 #s(literal 1 binary64) (*.f64 n (pow.f64 x (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (pow.f64 x (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 n (pow.f64 x (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))))))
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)
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(*.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (-.f64 (*.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))))
(*.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(exp.f64 (*.f64 (log.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (neg.f64 (*.f64 x (*.f64 x x)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) (neg.f64 (*.f64 x (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal -1/2 binary64))) (+.f64 x #s(literal -1/2 binary64))) #s(literal 1/27 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1/9 binary64)) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))))
(/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) x) (*.f64 x x))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal -1/2 binary64))) (+.f64 x #s(literal -1/2 binary64))) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1/9 binary64)) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) x)) (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal -1/2 binary64))) (+.f64 x #s(literal -1/2 binary64))) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1/9 binary64)) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/3 binary64)))))
(/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64)))
(/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x)
(/.f64 (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) x) x) x)
(pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))
(*.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) x))
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 x #s(literal -1/2 binary64)) (+.f64 x #s(literal -1/2 binary64))) (+.f64 x #s(literal -1/2 binary64))) #s(literal 1/27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1/9 binary64)) (*.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/3 binary64))))))
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (+.f64 (/.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)))
(exp.f64 (*.f64 (log.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
(pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 1 binary64))

eval374.0ms (1.5%)

Memory
-74.2MiB live, 227.5MiB allocated
Compiler

Compiled 35 648 to 2 444 computations (93.1% saved)

prune163.0ms (0.7%)

Memory
-25.4MiB live, 302.6MiB allocated
Pruning

49 alts after pruning (42 fresh and 7 done)

PrunedKeptTotal
New91622938
Fresh82028
Picked235
Done145
Total92749976
Accuracy
100.0%
Counts
976 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.9%
(fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (/.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
27.9%
(/.f64 (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
28.0%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
28.0%
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
26.4%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
14.8%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 x n) #s(literal 1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n)) (*.f64 x #s(literal -1/3 binary64))) (neg.f64 n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
25.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
4.7%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
11.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1 binary64))) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
6.7%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
16.1%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓34.9%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
11.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓42.7%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓31.8%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
27.9%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) #s(literal -1 binary64)))
27.9%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
59.7%
#s(approx (/ (- (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow x (* 2 (/ 1 n)))) (+ (pow x (/ 1 n)) (pow (+ x 1) (/ 1 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 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) (+.f64 (log.f64 x) (log1p.f64 x)))) n)) n))
28.0%
#s(approx (/ (- (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow x (* 2 (/ 1 n)))) (+ (pow x (/ 1 n)) (pow (+ x 1) (/ 1 n)))) (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 2 binary64)) (exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) n))) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (exp.f64 (/.f64 (log1p.f64 x) n)))))
✓60.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
✓61.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
34.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (/ 1 n) -1) (/.f64 #s(literal 1 binary64) n))) n))
55.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) n))
44.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
44.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x))
55.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
59.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n))
55.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
21.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (*.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
55.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
✓43.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
42.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
35.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (neg.f64 (*.f64 (log.f64 x) n))) (*.f64 n n)))
40.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))) n))
27.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
27.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
25.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64)))))) n))
✓34.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
34.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x))) n))
26.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))))) n))
43.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
33.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))))))
27.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (log (/ (+ x 1) x)) (neg.f64 (log.f64 x))))))
35.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
16.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
38.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64))))
44.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
55.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
32.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))))
Compiler

Compiled 2 552 to 842 computations (67% saved)

regimes112.0ms (0.5%)

Memory
20.0MiB live, 95.6MiB allocated
Counts
78 → 4
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 (+.f64 n (/.f64 (fma.f64 n #s(literal -1/2 binary64) (/.f64 (*.f64 n #s(literal 1/3 binary64)) x)) x)) x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64)))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1 binary64))) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 x n) #s(literal 1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n)) (*.f64 x #s(literal -1/3 binary64))) (neg.f64 n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (neg.f64 (*.f64 (log.f64 x) n))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (/ 1 n) -1) (/.f64 #s(literal 1 binary64) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (log (/ (+ x 1) x)) (neg.f64 (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.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))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n (*.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 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))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 1 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 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) #s(literal -1 binary64)))
(fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (/.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 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))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (/.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 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 (*.f64 (*.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 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 (pow.f64 (/.f64 n (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 #s(literal 1 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)))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
#s(approx (/ (- (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow x (* 2 (/ 1 n)))) (+ (pow x (/ 1 n)) (pow (+ x 1) (/ 1 n)))) (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 2 binary64)) (exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) n))) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (exp.f64 (/.f64 (log1p.f64 x) n)))))
#s(approx (/ (- (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))) (pow x (* 2 (/ 1 n)))) (+ (pow x (/ 1 n)) (pow (+ x 1) (/ 1 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 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) (+.f64 (log.f64 x) (log1p.f64 x)))) n)) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

47.0ms
n
23.0ms
(/.f64 #s(literal 1 binary64) n)
20.0ms
x
16.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
82.9%5x
87.7%4n
83.9%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)))
88.8%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes104.0ms (0.4%)

Memory
-27.5MiB live, 51.1MiB allocated
Counts
60 → 4
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 (+.f64 n (/.f64 (fma.f64 n #s(literal -1/2 binary64) (/.f64 (*.f64 n #s(literal 1/3 binary64)) x)) x)) x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64)))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1 binary64))) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 x n) #s(literal 1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n)) (*.f64 x #s(literal -1/3 binary64))) (neg.f64 n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (neg.f64 (*.f64 (log.f64 x) n))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (/ 1 n) -1) (/.f64 #s(literal 1 binary64) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (log (/ (+ x 1) x)) (neg.f64 (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.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))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n (*.f64 n n)))) (fma.f64 (/.f64 x n) (-.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 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))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (neg.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
(*.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 1 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 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.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))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

3 calls:

69.0ms
(/.f64 #s(literal 1 binary64) n)
16.0ms
n
13.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
80.1%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
85.1%5n
85.1%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes29.0ms (0.1%)

Memory
29.3MiB live, 29.3MiB allocated
Counts
47 → 5
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 (+.f64 n (/.f64 (fma.f64 n #s(literal -1/2 binary64) (/.f64 (*.f64 n #s(literal 1/3 binary64)) x)) x)) x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64)))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1 binary64))) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 x n) #s(literal 1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n)) (*.f64 x #s(literal -1/3 binary64))) (neg.f64 n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (neg.f64 (*.f64 (log.f64 x) n))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (/ 1 n) -1) (/.f64 #s(literal 1 binary64) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (log (/ (+ x 1) x)) (neg.f64 (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (*.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 x n) #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))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
Calls

2 calls:

13.0ms
n
13.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
85.1%6n
85.1%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes87.0ms (0.4%)

Memory
-22.3MiB live, 15.8MiB allocated
Counts
41 → 5
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 (+.f64 n (/.f64 (fma.f64 n #s(literal -1/2 binary64) (/.f64 (*.f64 n #s(literal 1/3 binary64)) x)) x)) x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64)))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1 binary64))) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 x n) #s(literal 1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n)) (*.f64 x #s(literal -1/3 binary64))) (neg.f64 n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (neg.f64 (*.f64 (log.f64 x) n))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (/ 1 n) -1) (/.f64 #s(literal 1 binary64) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (log (/ (+ x 1) x)) (neg.f64 (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
Calls

1 calls:

84.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.8%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes14.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB allocated
Counts
40 → 5
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 (+.f64 n (/.f64 (fma.f64 n #s(literal -1/2 binary64) (/.f64 (*.f64 n #s(literal 1/3 binary64)) x)) x)) x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64)))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1 binary64))) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 x n) #s(literal 1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n)) (*.f64 x #s(literal -1/3 binary64))) (neg.f64 n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (neg.f64 (*.f64 (log.f64 x) n))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (/ 1 n) -1) (/.f64 #s(literal 1 binary64) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (log (/ (+ x 1) x)) (neg.f64 (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
Calls

1 calls:

11.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.7%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes85.0ms (0.3%)

Memory
-12.2MiB live, 25.5MiB allocated
Counts
39 → 5
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 (+.f64 n (/.f64 (fma.f64 n #s(literal -1/2 binary64) (/.f64 (*.f64 n #s(literal 1/3 binary64)) x)) x)) x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64)))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1 binary64))) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 x n) #s(literal 1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n)) (*.f64 x #s(literal -1/3 binary64))) (neg.f64 n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (neg.f64 (*.f64 (log.f64 x) n))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (/ 1 n) -1) (/.f64 #s(literal 1 binary64) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (log (/ (+ x 1) x)) (neg.f64 (log.f64 x))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (/ 1 n) -1) (/.f64 #s(literal 1 binary64) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
Calls

2 calls:

72.0ms
n
11.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
83.4%6n
83.4%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes101.0ms (0.4%)

Memory
2.4MiB live, 43.8MiB allocated
Counts
38 → 4
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 (+.f64 n (/.f64 (fma.f64 n #s(literal -1/2 binary64) (/.f64 (*.f64 n #s(literal 1/3 binary64)) x)) x)) x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64)))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1 binary64))) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 x n) #s(literal 1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n)) (*.f64 x #s(literal -1/3 binary64))) (neg.f64 n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (neg.f64 (*.f64 (log.f64 x) n))) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (/ 1 n) -1) (/.f64 #s(literal 1 binary64) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (log (/ (+ x 1) x)) (neg.f64 (log.f64 x))))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (/ 1 n) -1) (/.f64 #s(literal 1 binary64) n))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
Calls

4 calls:

69.0ms
x
11.0ms
n
11.0ms
(/.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
72.8%5n
64.6%4x
58.0%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
72.8%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes23.0ms (0.1%)

Memory
24.4MiB live, 24.4MiB allocated
Counts
36 → 4
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 (+.f64 n (/.f64 (fma.f64 n #s(literal -1/2 binary64) (/.f64 (*.f64 n #s(literal 1/3 binary64)) x)) x)) x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64)))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1 binary64))) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 x n) #s(literal 1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n)) (*.f64 x #s(literal -1/3 binary64))) (neg.f64 n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (neg.f64 (*.f64 (log.f64 x) n))) (*.f64 n n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
Calls

2 calls:

10.0ms
(/.f64 #s(literal 1 binary64) n)
10.0ms
n
Results
AccuracySegmentsBranch
65.4%4n
65.8%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes91.0ms (0.4%)

Memory
-5.1MiB live, 33.1MiB allocated
Counts
33 → 4
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 (+.f64 n (/.f64 (fma.f64 n #s(literal -1/2 binary64) (/.f64 (*.f64 n #s(literal 1/3 binary64)) x)) x)) x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64)))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1 binary64))) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 x n) #s(literal 1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n)) (*.f64 x #s(literal -1/3 binary64))) (neg.f64 n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

3 calls:

70.0ms
(/.f64 #s(literal 1 binary64) n)
9.0ms
n
9.0ms
x
Results
AccuracySegmentsBranch
63.4%4x
58.7%3n
60.2%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes72.0ms (0.3%)

Memory
-25.3MiB live, 12.8MiB allocated
Counts
32 → 4
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 (+.f64 n (/.f64 (fma.f64 n #s(literal -1/2 binary64) (/.f64 (*.f64 n #s(literal 1/3 binary64)) x)) x)) x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64)))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1 binary64))) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 x n) #s(literal 1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n)) (*.f64 x #s(literal -1/3 binary64))) (neg.f64 n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

1 calls:

70.0ms
x
Results
AccuracySegmentsBranch
63.3%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes20.0ms (0.1%)

Memory
21.8MiB live, 21.8MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.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))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 (+.f64 n (/.f64 (fma.f64 n #s(literal -1/2 binary64) (/.f64 (*.f64 n #s(literal 1/3 binary64)) x)) x)) x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64)))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal -1/2 binary64)) (*.f64 x (*.f64 x (+.f64 x #s(literal -1/2 binary64)))) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal -1/3 binary64))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) (*.f64 n n)) #s(literal 1 binary64))) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 x n) #s(literal 1/6 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n)) (*.f64 x #s(literal -1/3 binary64))) (neg.f64 n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))))) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

2 calls:

9.0ms
(/.f64 #s(literal 1 binary64) n)
9.0ms
x
Results
AccuracySegmentsBranch
60.2%3(/.f64 #s(literal 1 binary64) n)
52.9%2x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n))
Calls

1 calls:

6.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
57.8%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes38.0ms (0.2%)

Memory
-30.0MiB live, 8.3MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x))) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

1 calls:

37.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
58.9%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (pow x (/ 1 n)) (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n)))) (/ (pow x (/ 1 n)) n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
Calls

1 calls:

5.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
58.7%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x))
Calls

2 calls:

4.0ms
n
4.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
57.9%3n
56.4%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes15.0ms (0.1%)

Memory
18.7MiB live, 18.7MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))))
Outputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x))
Calls

4 calls:

4.0ms
n
4.0ms
(/.f64 #s(literal 1 binary64) n)
4.0ms
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
47.4%2x
50.9%4n
44.0%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)))
48.9%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes34.0ms (0.1%)

Memory
-37.1MiB live, 3.8MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
Outputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
Calls

1 calls:

33.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
48.9%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Outputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
Calls

1 calls:

2.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
48.0%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(/.f64 #s(literal 1 binary64) n)
1.0ms
n
1.0ms
x
1.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
31.8%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
31.8%1x
31.8%1n
31.8%1(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2128772.345768915
5441842609384953.0
0.0ms
1.2523564770385347e-85
1.935548228476364e-69
0.0ms
-2.5879714257101343e-78
-1.9482824017995244e-80
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2128772.345768915
5441842609384953.0
0.0ms
1.2523564770385347e-85
1.935548228476364e-69
0.0ms
-2.5879714257101343e-78
-1.9482824017995244e-80
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
2.967276471024734e+182
2.201890101178284e+185
0.0ms
2128772.345768915
5441842609384953.0
0.0ms
1.2523564770385347e-85
1.935548228476364e-69
0.0ms
-2.5879714257101343e-78
-1.9482824017995244e-80
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
2.967276471024734e+182
2.201890101178284e+185
0.0ms
2128772.345768915
5441842609384953.0
0.0ms
1.2523564770385347e-85
1.935548228476364e-69
0.0ms
-2.5879714257101343e-78
-1.9482824017995244e-80
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
2.967276471024734e+182
2.201890101178284e+185
0.0ms
2128772.345768915
5441842609384953.0
0.0ms
1.2523564770385347e-85
1.935548228476364e-69
0.0ms
-2.5879714257101343e-78
-1.9482824017995244e-80
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
2.967276471024734e+182
2.201890101178284e+185
0.0ms
1.4063007843385501e-8
0.00034596096872750135
0.0ms
1.2523564770385347e-85
1.935548228476364e-69
0.0ms
-280303.3580173725
-5.432449256410392e-15
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.967276471024734e+182
2.201890101178284e+185
0.0ms
1.4063007843385501e-8
0.00034596096872750135
0.0ms
-280303.3580173725
-5.432449256410392e-15
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.967276471024734e+182
2.201890101178284e+185
0.0ms
1.4063007843385501e-8
0.00034596096872750135
0.0ms
-280303.3580173725
-5.432449256410392e-15
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch146.0ms (0.6%)

Memory
0.0MiB live, 75.5MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
74.0ms
7.280730831353337e+140
1.857263895182594e+142
17.0ms
0.0035834211934032767
0.007974486847115795
51.0ms
4.410004910663091e-295
7.192691838607639e-290
Samples
41.0ms101×2valid
39.0ms22×0exit
37.0ms120×1valid
10.0ms115×0valid
0.0ms1×1exit
Compiler

Compiled 582 to 354 computations (39.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
ival-pow: 51.0ms (44.6% of total)
ival-add: 47.0ms (41.1% of total)
adjust: 8.0ms (7% of total)
ival-div: 5.0ms (4.4% of total)
ival-sub: 3.0ms (2.6% 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
2.4MiB live, 2.4MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
7.280730831353337e+140
1.857263895182594e+142
1.0ms
0.0035834211934032767
0.007974486847115795
1.0ms
4.410004910663091e-295
7.192691838607639e-290
Compiler

Compiled 568 to 354 computations (37.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.5538885381212467e+106
5.3589409487597025e+116
0.0ms
-280303.3580173725
-5.432449256410392e-15
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.3177672632393254e+21
-2.8722766294698636e+20
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.5538885381212467e+106
5.3589409487597025e+116
0.0ms
-280303.3580173725
-5.432449256410392e-15
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.5538885381212467e+106
5.3589409487597025e+116
0.0ms
-280303.3580173725
-5.432449256410392e-15
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-280303.3580173725
-5.432449256410392e-15
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.3177672632393254e+21
-2.8722766294698636e+20
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.3177672632393254e+21
-2.8722766294698636e+20
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.3177672632393254e+21
-2.8722766294698636e+20
Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify56.0ms (0.2%)

Memory
-15.0MiB live, 22.8MiB allocated
Algorithm
1×egg-herbie
Rules
38×+-commutative_binary64
22×sub-neg_binary64
20×*-commutative_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02082074
12382074
22522074
32572074
42592074
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8343699359066055/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3499601159652819/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.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 -8343699359066055/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3499601159652819/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.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))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8343699359066055/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3499601159652819/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 499999999999999973297436475782614169496763434109744428272285720156797353246877991443480012589546764662496833043557678065517614119776368694263139634039071761845879577452943421992861696 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8343699359066055/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3499601159652819/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 499999999999999973297436475782614169496763434109744428272285720156797353246877991443480012589546764662496833043557678065517614119776368694263139634039071761845879577452943421992861696 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 (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8343699359066055/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3499601159652819/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 499999999999999973297436475782614169496763434109744428272285720156797353246877991443480012589546764662496833043557678065517614119776368694263139634039071761845879577452943421992861696 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 (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -200000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (/ 1 n) -1) (/.f64 #s(literal 1 binary64) n))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3499601159652819/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 499999999999999973297436475782614169496763434109744428272285720156797353246877991443480012589546764662496833043557678065517614119776368694263139634039071761845879577452943421992861696 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 (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -200000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (+ (/ 1 n) -1) (/.f64 #s(literal 1 binary64) n))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 499999999999999973297436475782614169496763434109744428272285720156797353246877991443480012589546764662496833043557678065517614119776368694263139634039071761845879577452943421992861696 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 (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -200000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 499999999999999973297436475782614169496763434109744428272285720156797353246877991443480012589546764662496833043557678065517614119776368694263139634039071761845879577452943421992861696 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 (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n))))))
(if (<=.f64 x #s(literal 2588678114201735/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n)))) (if (<=.f64 x #s(literal 4496393867966703/576460752303423488 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) (if (<=.f64 x #s(literal 10600000000000000078409727119150788064880887526041299722441411668915980804990444280808851121238881477772666891309981599316459494513111625367552 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) x))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))))))
(if (<=.f64 x #s(literal 2588678114201735/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 x n)))) (if (<=.f64 x #s(literal 4496393867966703/576460752303423488 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) (if (<=.f64 x #s(literal 10600000000000000078409727119150788064880887526041299722441411668915980804990444280808851121238881477772666891309981599316459494513111625367552 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) x))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -200000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 49999999999999998440692023514963491717685634530639844703322105876395762568335322697627001197697942402629632 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x #s(approx (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4000000000000000000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -200000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 49999999999999998440692023514963491717685634530639844703322105876395762568335322697627001197697942402629632 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ 1/2 (* n n))) (/ -1/2 n))) (/ 1 n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -200000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 49999999999999998440692023514963491717685634530639844703322105876395762568335322697627001197697942402629632 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) #s(approx (/ n (log (/ (+ x 1) x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (+ 1 (/ (+ -1/2 (/ 1/3 x)) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) n))))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4000000000000000000000 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)) n) x)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4000000000000000000000 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)))
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(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Outputs
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8343699359066055/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3499601159652819/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 499999999999999973297436475782614169496763434109744428272285720156797353246877991443480012589546764662496833043557678065517614119776368694263139634039071761845879577452943421992861696 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 (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))))))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8343699359066055/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3499601159652819/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 499999999999999973297436475782614169496763434109744428272285720156797353246877991443480012589546764662496833043557678065517614119776368694263139634039071761845879577452943421992861696 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 (- (* (log (+ 1 x)) n) (* n (log x))) (/.f64 n x)) (*.f64 n n)))))))
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(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))

soundness2.0s (7.9%)

Memory
40.2MiB live, 1 590.4MiB allocated
Rules
11 538×lower-fma.f64
11 538×lower-fma.f32
8 298×lower-fma.f64
8 298×lower-fma.f32
8 204×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
01326
16326
240726
3433526
0843322
064524
0103471
1494471
24738471
08325434
035243
059231
1261222
22096214
08455211
02401483
17001377
219661308
369321308
081281194
06109445
118648813
254158713
083798100
0106513998
1332013203
0824012298
044264
067252
1263230
21897230
08081230
05658070
117147564
249037453
081816896
Stop Event
1×fuel
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×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
Compiler

Compiled 1 955 to 825 computations (57.8% saved)

preprocess104.0ms (0.4%)

Memory
15.8MiB live, 204.0MiB allocated
Compiler

Compiled 1 850 to 290 computations (84.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...