2nthrt (problem 3.4.6)

Time bar (total: 26.6s)

analyze212.0ms (0.8%)

Memory
-23.4MiB live, 293.6MiB 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)

sample13.6s (51.1%)

Memory
-11.2MiB live, 16 834.4MiB allocated
Samples
8.8s4 826×5exit
1.7s2 763×2valid
797.0ms2 859×1valid
422.0ms2 408×1exit
342.0ms2 624×0valid
175.0ms1 543×0exit
28.0ms105×2exit
23.0ms9×4exit
4.0ms4×3exit
4.0ms10×3valid
Precisions
Click to see histograms. Total time spent on operations: 11.2s
ival-pow: 8.9s (80.1% of total)
adjust: 819.0ms (7.3% of total)
ival-div: 573.0ms (5.1% of total)
ival-add: 416.0ms (3.7% of total)
ival-sub: 361.0ms (3.2% of total)
exact: 34.0ms (0.3% of total)
ival-true: 15.0ms (0.1% of total)
ival-assert: 8.0ms (0.1% of total)
Bogosity

preprocess30.0ms (0.1%)

Memory
5.2MiB live, 47.9MiB allocated
Algorithm
2×egg-herbie
Rules
140×sub-neg
86×unsub-neg
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
80×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02588
14882
210180
317480
427280
539980
650480
756480
865180
968180
1069780
0813
11313
21713
32313
43113
54613
67813
710213
814513
916013
1016813
016813
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
Call 2
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n))))
(neg (- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n))))
(neg (- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n)))))
(- (pow (+ n 1) (/ 1 x)) (pow n (/ 1 x)))
Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (- 1 x) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n))))
(- (pow (+ x 1) (/ -1 n)) (pow x (/ -1 n)))
(neg (- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n))))
(- (pow (neg x) (/ 1 n)) (pow (- 1 x) (/ 1 n)))
(neg (- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n)))))
(- (pow x (/ -1 n)) (pow (+ x 1) (/ -1 n)))
(- (pow (+ n 1) (/ 1 x)) (pow n (/ 1 x)))
(- (pow (+ 1 n) (/ 1 x)) (pow n (/ 1 x)))

explain247.0ms (0.9%)

Memory
-8.6MiB live, 584.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1080-0-(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
3832(2.4475444802794842e-307 1.645731006533073e-29)1(1.5687306087893687e+38 0.8894403269493171)(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
20-1(1.5687306087893687e+38 0.8894403269493171)(pow.f64 x (/.f64 #s(literal 1 binary64) n))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-n
00-0-(/.f64 #s(literal 1 binary64) n)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))cancellation1080
pow.f64(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))sensitivity691
pow.f64(pow.f64 x (/.f64 #s(literal 1 binary64) n))sensitivity11
Confusion
Predicted +Predicted -
+1300
-4779
Precision
0.7344632768361582
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13000
-47079
Precision?
0.7344632768361582
Recall?
1.0
Freqs
test
numberfreq
079
1176
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
78.0ms182×2valid
70.0ms240×1valid
9.0ms90×0valid
Compiler

Compiled 102 to 36 computations (64.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-pow: 87.0ms (70.3% of total)
ival-div: 14.0ms (11.3% of total)
adjust: 9.0ms (7.3% of total)
ival-add: 6.0ms (4.8% of total)
ival-sub: 6.0ms (4.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.6%
(-.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
26.2MiB live, 26.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) n)
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Rules
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
48×*-lowering-*.f32
48×*-lowering-*.f64
36×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
11334
21734
32334
43134
54634
67834
710234
814534
916034
1016834
016834
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
x
1
(/ 1 n)
n
(pow x (/ 1 n))
Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
(pow (+ x 1) (/ 1 n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))

localize102.0ms (0.4%)

Memory
-22.6MiB live, 256.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy99.9%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy86.9%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy62.3%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Samples
45.0ms91×2valid
38.0ms120×1valid
4.0ms45×0valid
Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-pow: 43.0ms (72.8% of total)
adjust: 5.0ms (8.5% of total)
ival-div: 4.0ms (6.8% of total)
ival-add: 3.0ms (5.1% of total)
ival-sub: 3.0ms (5.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series72.0ms (0.3%)

Memory
-13.1MiB live, 151.9MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#<alt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))>
#<alt (pow (+ x 1) (/ 1 n))>
#<alt (+ x 1)>
#<alt (/ 1 n)>
#<alt (pow x (/ 1 n))>
Outputs
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<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)))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<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)>
#<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)>
#<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)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<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))>
#<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))>
#<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))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<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)>
#<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)>
#<alt (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -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))>
#<alt (* -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))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<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))))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))>
#<alt (+ (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))))>
#<alt (+ (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)))))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))>
#<alt (+ (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)))>
#<alt (+ (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)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))>
#<alt (+ 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))))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))>
Calls

24 calls:

TimeVariablePointExpression
34.0ms
x
@0
(pow x (/ 1 n))
23.0ms
x
@-inf
(pow x (/ 1 n))
6.0ms
x
@inf
(pow x (/ 1 n))
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)))

rewrite316.0ms (1.2%)

Memory
18.4MiB live, 449.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 822×accelerator-lowering-fma.f32
3 822×accelerator-lowering-fma.f64
3 746×*-lowering-*.f32
3 746×*-lowering-*.f64
3 490×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831
15831
240231
3432431
0839927
Stop Event
1×iter limit
1×node limit
Counts
5 → 321
Calls
Call 1
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
(/ 1 n)
(pow x (/ 1 n))
Outputs
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
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(pow.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1/2 binary64))) (neg.f64 (pow.f64 n #s(literal -1/2 binary64))))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (pow.f64 n #s(literal -1/2 binary64)))) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/4 binary64))) (pow.f64 n #s(literal -1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.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 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))
(*.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3/2 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 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3/2 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64))))

simplify528.0ms (2%)

Memory
-20.4MiB live, 716.4MiB allocated
Algorithm
1×egg-herbie
Rules
13 074×accelerator-lowering-fma.f32
13 074×accelerator-lowering-fma.f64
4 500×*-lowering-*.f32
4 500×*-lowering-*.f64
3 564×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02631714
17611578
221161504
374551498
087361380
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
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)
(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)))
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 (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)) (-.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 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n 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 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.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 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 #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 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 x)))) 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))) (log1p.f64 x)) (-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (-.f64 (*.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)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 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 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x))) (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) 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)))
(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)))
(+.f64 #s(literal 1 binary64) (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)))
(+ 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 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n 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 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (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)
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 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)) (log.f64 (/.f64 #s(literal -1 binary64) 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.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.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
1
#s(literal 1 binary64)
(+ 1 (/ (log x) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) n))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) n) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ (log x) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) n)) n))

eval64.0ms (0.2%)

Memory
-3.3MiB live, 126.1MiB allocated
Compiler

Compiled 12 216 to 1 429 computations (88.3% saved)

prune69.0ms (0.3%)

Memory
13.9MiB live, 171.6MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New46915484
Fresh000
Picked101
Done000
Total47015485
Accuracy
99.8%
Counts
485 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.4%
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
▶14.8%
(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)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
39.5%
(/.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)
59.3%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
64.5%
(/.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)
27.4%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 9 binary64)))) (*.f64 (+.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)))) (+.f64 (+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))))))
▶73.4%
(/.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)) (-.f64 #s(literal 0 binary64) n))
68.0%
(/.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)) (-.f64 #s(literal 0 binary64) n))
58.4%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
21.5%
(-.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)))
20.7%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
27.7%
(-.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)))))
▶32.3%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
62.1%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶40.2%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 822 to 436 computations (47% saved)

simplify584.0ms (2.2%)

Memory
-17.9MiB live, 891.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) n)
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n))
✓cost-diff7552
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
✓cost-diff0
(+.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))))
✓cost-diff0
(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)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
✓cost-diff64
(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))
✓cost-diff512
(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)))
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(/.f64 x n)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 x n))
✓cost-diff0
(-.f64 (+.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
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓cost-diff0
(log.f64 x)
✓cost-diff0
(-.f64 (log.f64 x) (log1p.f64 x))
✓cost-diff0
(-.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))
✓cost-diff192
(/.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)) (-.f64 #s(literal 0 binary64) n))
Rules
21 016×accelerator-lowering-fma.f32
21 016×accelerator-lowering-fma.f64
3 494×*-lowering-*.f32
3 494×*-lowering-*.f64
3 144×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057518
1136518
2370513
31120510
44130510
08377461
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n))
(- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))
(- (log x) (log (+ 1 x)))
(log x)
x
(log (+ 1 x))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)
(+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n))
1/2
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log (+ 1 x)) 2)
2
(pow (log x) 2)
(/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)
(* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
1/6
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(pow (log (+ 1 x)) 3)
3
(pow (log x) 3)
n
(- 0 n)
0
(- 1 (pow x (/ 1 n)))
1
(pow x (/ 1 n))
x
(/ 1 n)
n
(- (+ 1 (/ x n)) (pow x (/ 1 n)))
(+ 1 (/ x n))
1
(/ x n)
x
n
(pow x (/ 1 n))
(/ 1 n)
(+ (* x (+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))) (- 1 (pow x (/ 1 n))))
x
(+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))
(+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))
(/ 1/6 (* n (* n n)))
1/6
(* n (* n n))
n
(* n n)
(+ (/ 1/3 n) (/ -1/2 (* n n)))
(/ 1/3 n)
1/3
(/ -1/2 (* n n))
-1/2
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(/ 1/2 (* n n))
1/2
(/ -1/2 n)
(/ 1 n)
1
(- 1 (pow x (/ 1 n)))
(pow x (/ 1 n))
(+ (* (pow x (/ 1/2 n)) (- 0 (pow x (/ 1/2 n)))) (pow (+ x 1) (/ 1 n)))
(pow x (/ 1/2 n))
x
(/ 1/2 n)
1/2
n
(- 0 (pow x (/ 1/2 n)))
0
(pow (+ x 1) (/ 1 n))
(+ x 1)
1
(/ 1 n)
Outputs
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n))
(/.f64 (+.f64 (/.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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) n))) n))
(- (log x) (log (+ 1 x)))
(-.f64 (log.f64 x) (log1p.f64 x))
(log x)
(log.f64 x)
x
(log (+ 1 x))
(log1p.f64 x)
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)
(+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n))
(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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n)))
1/2
#s(literal 1/2 binary64)
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log (+ 1 x)) 2)
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))
(* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
(*.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))))
1/6
#s(literal 1/6 binary64)
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow (log (+ 1 x)) 3)
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
n
(- 0 n)
(-.f64 #s(literal 0 binary64) n)
0
#s(literal 0 binary64)
(- 1 (pow x (/ 1 n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
1
#s(literal 1 binary64)
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(- (+ 1 (/ x n)) (pow x (/ 1 n)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
1
#s(literal 1 binary64)
(/ x n)
(/.f64 x n)
x
n
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(+ (* x (+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))) (- 1 (pow x (/ 1 n))))
(-.f64 (fma.f64 x (fma.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (fma.f64 x (fma.f64 (/.f64 x (fma.f64 n n #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/3 binary64)) n)) (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
x
(+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))
(fma.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (fma.f64 x (fma.f64 (/.f64 x (fma.f64 n n #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/3 binary64)) n)) (/.f64 #s(literal 1 binary64) n)))
(+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(+.f64 (/.f64 #s(literal -1/2 binary64) n) (fma.f64 (/.f64 x (fma.f64 n n #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) (fma.f64 x (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (fma.f64 n n #s(literal 0 binary64))))))
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (fma.f64 n n #s(literal 0 binary64)))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (fma.f64 n n #s(literal 0 binary64)))))
(/ 1/6 (* n (* n n)))
(/.f64 #s(literal 1/6 binary64) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))
1/6
#s(literal 1/6 binary64)
(* n (* n n))
(*.f64 n (fma.f64 n n #s(literal 0 binary64)))
n
(* n n)
(fma.f64 n n #s(literal 0 binary64))
(+ (/ 1/3 n) (/ -1/2 (* n n)))
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (fma.f64 n n #s(literal 0 binary64))))
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
1/3
#s(literal 1/3 binary64)
(/ -1/2 (* n n))
(/.f64 #s(literal -1/2 binary64) (fma.f64 n n #s(literal 0 binary64)))
-1/2
#s(literal -1/2 binary64)
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 n n #s(literal 0 binary64))) (/.f64 #s(literal -1/2 binary64) n))
(/ 1/2 (* n n))
(/.f64 #s(literal 1/2 binary64) (fma.f64 n n #s(literal 0 binary64)))
1/2
#s(literal 1/2 binary64)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)
(- 1 (pow x (/ 1 n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(+ (* (pow x (/ 1/2 n)) (- 0 (pow x (/ 1/2 n)))) (pow (+ x 1) (/ 1 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)))
(pow x (/ 1/2 n))
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n))
x
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
1/2
#s(literal 1/2 binary64)
n
(- 0 (pow x (/ 1/2 n)))
(-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))
0
#s(literal 0 binary64)
(pow (+ x 1) (/ 1 n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)

localize544.0ms (2%)

Memory
14.1MiB live, 817.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy99.9%
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n))
✓accuracy86.9%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy62.1%
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
✓accuracy94.4%
(+.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))))
✓accuracy93.9%
(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))
✓accuracy84.5%
(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)))
✓accuracy47.5%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 x n))
✓accuracy99.9%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy61.9%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy99.9%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy47.5%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy98.9%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
✓accuracy56.9%
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
✓accuracy56.8%
(-.f64 (log.f64 x) (log1p.f64 x))
✓accuracy56.8%
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
Samples
271.0ms152×1valid
149.0ms91×2valid
6.0ms13×0valid
Compiler

Compiled 489 to 58 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 310.0ms
ival-pow: 104.0ms (33.6% of total)
ival-div: 38.0ms (12.3% of total)
const: 30.0ms (9.7% of total)
adjust: 29.0ms (9.4% of total)
ival-mult: 26.0ms (8.4% of total)
ival-add: 26.0ms (8.4% of total)
ival-sub: 19.0ms (6.1% of total)
ival-log: 14.0ms (4.5% of total)
ival-pow2: 13.0ms (4.2% of total)
ival-log1p: 10.0ms (3.2% of total)
exact: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series66.0ms (0.2%)

Memory
15.6MiB live, 173.3MiB allocated
Counts
23 → 444
Calls
Call 1
Inputs
#<alt (/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n))>
#<alt (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))>
#<alt (- (log x) (log (+ 1 x)))>
#<alt (log x)>
#<alt (- 1 (pow x (/ 1 n)))>
#<alt (pow x (/ 1 n))>
#<alt (/ 1 n)>
#<alt (- (+ 1 (/ x n)) (pow x (/ 1 n)))>
#<alt (+ 1 (/ x n))>
#<alt (/ x n)>
#<alt (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))>
#<alt (+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))>
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#<alt (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))>
#<alt (+ (* (pow x (/ 1/2 n)) (- 0 (pow x (/ 1/2 n)))) (pow (+ x 1) (/ 1 n)))>
#<alt (pow x (/ 1/2 n))>
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#<alt (- (pow (log (+ 1 x)) 2) (pow (log x) 2))>
#<alt (- (pow (log (+ 1 x)) 3) (pow (log x) 3))>
#<alt (pow (log x) 3)>
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#<alt (+ x 1)>
Outputs
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#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))>
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#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3)))>
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#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 3))>
#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 3))>
#<alt (* -1 (/ (- (log x) (log (+ 1 x))) n))>
#<alt (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)>
#<alt (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)>
#<alt (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)>
#<alt (* -1 (/ (- (log x) (log (+ 1 x))) n))>
#<alt (* -1 (/ (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x))) n))>
#<alt (* -1 (/ (- (+ (log x) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x))) n))>
#<alt (* -1 (/ (- (+ (log x) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x))) n))>
#<alt (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))>
#<alt (- (+ (log x) (* -1 x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))>
#<alt (- (+ (log x) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))>
#<alt (- (+ (log x) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))>
#<alt (* -1 (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) x))>
#<alt (/ (- (* 1/2 (/ 1 x)) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))))))) x)>
#<alt (/ (- (+ (* -1 (/ (+ 1/3 (+ (* 1/6 (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2)))))) (* 1/2 (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))))) (pow x 2))) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))))))) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (pow x 2))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) (pow x 3))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))))))))) x)>
#<alt (* -1 (/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) x))>
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- 1/2 (+ (* 1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2))))) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))))) x))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) x))>
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (+ 1/2 (* -1 (/ (- 1/3 (+ (* 1/6 (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (/ (log -1) (pow n 2)) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2))))))) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))))) x))) (+ (* 1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2))))) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))))) x))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) x))>
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (+ 1/2 (* -1 (/ (- (+ 1/3 (* -1 (/ (- 1/4 (+ (* 1/6 (+ (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2))))))) (* 1/2 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n)))))) x))) (+ (* 1/6 (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (/ (log -1) (pow n 2)) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2))))))) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))))) x))) (+ (* 1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2))))) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))))) x))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) x))>
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#<alt (- (log x) (log (+ 1 x)))>
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#<alt (/ (+ (log (+ 1 x)) (+ (* -1 (log x)) (+ (* -1 (/ (+ (* 1/192 (pow (log x) 4)) (+ (* 1/64 (pow (log x) 4)) (* 1/48 (pow (log x) 4)))) (pow n 3))) (+ (* -1 (/ (+ (* 1/24 (pow (log x) 3)) (* 1/8 (pow (log x) 3))) (pow n 2))) (+ (* -1/2 (/ (pow (log x) 2) n)) (+ (* 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))))))))) n)>
#<alt (* -1 (/ (+ (log x) (* -1 (log (+ 1 x)))) n))>
#<alt (* -1 (/ (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* 1/2 (pow (log (+ 1 x)) 2))) n)))) n))>
#<alt (* -1 (/ (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/8 (pow (log x) 3)) (* -1/24 (pow (log x) 3)))) (* -1/6 (pow (log (+ 1 x)) 3))) n)) (+ (* -1/2 (pow (log x) 2)) (* 1/2 (pow (log (+ 1 x)) 2)))) n)))) n))>
#<alt (* -1 (/ (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1/8 (pow (log x) 3)) (* -1/24 (pow (log x) 3)))) (+ (* -1 (/ (+ (* -1 (+ (* 1/192 (pow (log x) 4)) (+ (* 1/64 (pow (log x) 4)) (* 1/48 (pow (log x) 4))))) (* 1/24 (pow (log (+ 1 x)) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3)))) n)) (+ (* -1/2 (pow (log x) 2)) (* 1/2 (pow (log (+ 1 x)) 2)))) n)))) n))>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt (exp (* -1/2 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1/2 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1/2 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1/2 (/ (log (/ 1 x)) n)))>
#<alt (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt (exp (* 1/2 (/ (log x) n)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (log x) n)))>
#<alt (+ 1 (+ (* 1/8 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (log x) n))))>
#<alt (+ 1 (+ (* 1/48 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/8 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (log x) n)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (log x) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (log x)) (* -1/8 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (pow (log x) 3) n)) (* 1/8 (pow (log x) 2))) n)) (* -1/2 (log x))) n)))>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* -1/2 (/ (log (/ 1 x)) n))))>
#<alt (* -1 (exp (* -1/2 (/ (log (/ 1 x)) n))))>
#<alt (* -1 (exp (* -1/2 (/ (log (/ 1 x)) n))))>
#<alt (* -1 (exp (* -1/2 (/ (log (/ 1 x)) n))))>
#<alt (* -1 (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (* -1 (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (* -1 (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (* -1 (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt (* -1 (exp (* 1/2 (/ (log x) n))))>
#<alt -1>
#<alt (- (* -1/2 (/ (log x) n)) 1)>
#<alt (- (* -1/8 (/ (pow (log x) 2) (pow n 2))) (+ 1 (* 1/2 (/ (log x) n))))>
#<alt (- (* -1/48 (/ (pow (log x) 3) (pow n 3))) (+ 1 (+ (* 1/8 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (log x) n)))))>
#<alt -1>
#<alt (- (* -1/2 (/ (log x) n)) 1)>
#<alt (- (* -1 (/ (- (* 1/8 (/ (pow (log x) 2) n)) (* -1/2 (log x))) n)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1/48 (/ (pow (log x) 3) n)) (* 1/8 (pow (log x) 2))) n)) (* -1/2 (log x))) n)) 1)>
#<alt (* -1 (pow (log x) 2))>
#<alt (- (pow x 2) (pow (log x) 2))>
#<alt (- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))>
#<alt (- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))>
#<alt (* -2 (/ (log (/ 1 x)) x))>
#<alt (/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x)>
#<alt (/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)>
#<alt (/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x)>
#<alt (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))>
#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))>
#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x))>
#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)))) x))) x))>
#<alt (* -1 (pow (log x) 3))>
#<alt (- (pow x 3) (pow (log x) 3))>
#<alt (- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3))>
#<alt (- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3))>
#<alt (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) x)>
#<alt (/ (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) x)>
#<alt (/ (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 2))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (log (/ 1 x)) (pow x 2))) (+ (* 2 (pow (log (/ 1 x)) 2)) (+ (/ 1 (pow x 2)) (pow (log (/ 1 x)) 2))))))))) x)>
#<alt (/ (- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -4/3 (/ (log (/ 1 x)) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow x 3))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow x 3))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (log (/ 1 x)) (pow x 2))) (+ (* 2 (pow (log (/ 1 x)) 2)) (+ (/ 1 (pow x 2)) (pow (log (/ 1 x)) 2))))))))))))) (/ 1 (pow x 3))) x)>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<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))))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))>
#<alt (+ (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))))>
#<alt (+ (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)))))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))>
#<alt (+ (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)))>
#<alt (+ (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)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))>
#<alt (+ 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))))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
Calls

111 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n))
4.0ms
x
@inf
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n))
4.0ms
x
@-inf
(+ (* x (+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))) (- 1 (pow x (/ 1 n))))
3.0ms
x
@-inf
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
2.0ms
n
@-inf
(+ (* x (+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))) (- 1 (pow x (/ 1 n))))

rewrite582.0ms (2.2%)

Memory
-5.5MiB live, 790.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 160×accelerator-lowering-fma.f32
5 160×accelerator-lowering-fma.f64
5 104×*-lowering-*.f32
5 104×*-lowering-*.f64
2 558×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057309
1467303
25353303
08664265
Stop Event
1×iter limit
1×node limit
Counts
23 → 755
Calls
Call 1
Inputs
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n))
(- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))
(- (log x) (log (+ 1 x)))
(log x)
(- 1 (pow x (/ 1 n)))
(pow x (/ 1 n))
(/ 1 n)
(- (+ 1 (/ x n)) (pow x (/ 1 n)))
(+ 1 (/ x n))
(/ x n)
(+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))
(+ (* x (+ (* x (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))) (- 1 (pow x (/ 1 n))))
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))
(+ (* (pow x (/ 1/2 n)) (- 0 (pow x (/ 1/2 n)))) (pow (+ x 1) (/ 1 n)))
(pow x (/ 1/2 n))
(/ 1/2 n)
(- 0 (pow x (/ 1/2 n)))
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(pow (log x) 3)
(pow (+ x 1) (/ 1 n))
(+ x 1)
Outputs
(+.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (fma.f64 n n #s(literal 0 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (fma.f64 n n #s(literal 0 binary64)))))
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simplify867.0ms (3.3%)

Memory
21.8MiB live, 812.7MiB allocated
Algorithm
1×egg-herbie
Rules
7 722×accelerator-lowering-fma.f32
7 722×accelerator-lowering-fma.f64
7 138×+-lowering-+.f64
7 138×+-lowering-+.f32
4 968×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0123910124
139009398
091548829
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))
(/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (/ 1 n)))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/4 (/ 1 n)) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n)))) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))))) x)
(/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) (* n x))
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(/ (- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -4/3 (/ (log (/ 1 x)) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow x 3))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow x 3))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (log (/ 1 x)) (pow x 2))) (+ (* 2 (pow (log (/ 1 x)) 2)) (+ (/ 1 (pow x 2)) (pow (log (/ 1 x)) 2))))))))))))) (/ 1 (pow x 3))) x)
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(pow (log x) 3)
(pow (log x) 3)
(pow (log x) 3)
(pow (log x) 3)
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
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)))
Outputs
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) (*.f64 n n))) (neg.f64 n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))
(-.f64 (/.f64 x n) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) (*.f64 n n))) n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
(-.f64 (*.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) n))) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) (*.f64 n n))) n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))
(fma.f64 x (fma.f64 x (neg.f64 (fma.f64 x (-.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 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) (*.f64 n n))) (neg.f64 n)))
(/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (*.f64 x n))
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (/ 1 n)))) x)
(/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n n)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) n) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (*.f64 n n)) #s(literal -2 binary64) (fma.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n n)) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))))) n))) x))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))))) x)
(/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n n)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (log.f64 x) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -2/3 binary64) #s(literal -1 binary64)) (*.f64 n n)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 n n))))) (*.f64 n (*.f64 x x))) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (*.f64 n n)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 n (*.f64 x x))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) n) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (*.f64 n n)) #s(literal -2 binary64) (fma.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n n)) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))))) n))) x))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/4 (/ 1 n)) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n)))) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))))) x)
(/.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (*.f64 n n)) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) n) (fma.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (*.f64 n n)) #s(literal -4/3 binary64) (fma.f64 (log.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 11/12 binary64)) (*.f64 n n)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal -1/4 binary64) (/.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 n n))))) (/.f64 #s(literal -1 binary64) (*.f64 n n))) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) (/.f64 #s(literal 11/12 binary64) n))) n))) (*.f64 x (*.f64 x x)))) (-.f64 (fma.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (log.f64 x) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -2/3 binary64) #s(literal -1 binary64)) (*.f64 n n)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 n n))))) (*.f64 n (*.f64 x x))) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (*.f64 n n)))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) #s(literal -2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 n (*.f64 x x))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) n) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (*.f64 n n)) #s(literal -2 binary64) (fma.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n n)) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))))) n))) x))) x)
(/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) (* n x))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 n n)) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n)))) (*.f64 x n))
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(+ 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)))
(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 (-.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 (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))) 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 #s(literal 1 binary64) (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)))
(+ 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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n (*.f64 n n))) (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))))
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) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (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 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

eval469.0ms (1.8%)

Memory
15.1MiB live, 446.1MiB allocated
Compiler

Compiled 63 292 to 4 459 computations (93% saved)

prune283.0ms (1.1%)

Memory
-20.1MiB live, 559.2MiB allocated
Pruning

37 alts after pruning (35 fresh and 2 done)

PrunedKeptTotal
New1 650311 681
Fresh6410
Picked325
Done000
Total1 659371 696
Accuracy
100.0%
Counts
1 696 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.2%
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64))
▶10.5%
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))) (+.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))))
27.5%
(fma.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
23.5%
(fma.f64 x (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
39.5%
(/.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)
27.8%
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
7.4%
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
23.2%
(/.f64 (fma.f64 n (fma.f64 n (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
7.6%
(/.f64 (fma.f64 n (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
34.6%
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
59.3%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
50.1%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) n))
26.8%
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) n) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))))
33.1%
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
39.0%
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (*.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) n)))
▶28.3%
(/.f64 (-.f64 x (log.f64 x)) n)
27.7%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
43.5%
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
▶38.0%
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) (neg.f64 n)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
9.2%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
4.3%
(/.f64 x n)
54.2%
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
20.7%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
15.6%
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
27.7%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
✓32.3%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
12.5%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
▶62.1%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓40.2%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶34.3%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
37.6%
(+.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (/.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))))
33.0%
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
30.5%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) (fma.f64 n n #s(literal 0 binary64)))) n)
19.5%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))) (fma.f64 n n #s(literal 0 binary64)))
54.3%
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
3.6%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
5.8%
(*.f64 (*.f64 x (*.f64 x 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)))))
Compiler

Compiled 2 374 to 1 208 computations (49.1% saved)

simplify382.0ms (1.4%)

Memory
-5.9MiB live, 846.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff192
(/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) (neg.f64 n))
✓cost-diff192
(+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) (neg.f64 n)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
✓cost-diff192
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) (neg.f64 n)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n))
✓cost-diff192
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) (neg.f64 n)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
✓cost-diff384
(fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64)))
✓cost-diff576
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))
✓cost-diff1152
(fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) #s(literal 1/6 binary64)))
✓cost-diff2304
(/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64)))))
✓cost-diff0
(log.f64 x)
✓cost-diff0
(-.f64 x (log.f64 x))
✓cost-diff0
(/.f64 (-.f64 x (log.f64 x)) n)
✓cost-diff192
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓cost-diff0
(log1p.f64 x)
✓cost-diff0
(/.f64 (log1p.f64 x) n)
✓cost-diff0
(exp.f64 (/.f64 (log1p.f64 x) n))
✓cost-diff0
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Rules
12 416×accelerator-lowering-fma.f32
12 416×accelerator-lowering-fma.f64
4 148×*-lowering-*.f32
4 148×*-lowering-*.f64
2 136×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058554
1143474
2413452
31296435
45280433
08455396
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(exp (/ (log (+ 1 x)) n))
(/ (log (+ 1 x)) n)
(log (+ 1 x))
x
n
(pow x (/ 1 n))
(/ 1 n)
1
(- 1 1)
1
(/ (- x (log x)) n)
(- x (log x))
x
(log x)
n
(+ (* x (+ (* x (+ (* x (/ (+ (* (+ (* n -1/2) (* (+ (* n n) 0) 1/3)) (* n (+ (* n n) 0))) (* (* n (+ (* n n) 0)) 1/6)) (* (* n (+ (* n n) 0)) (* n (+ (* n n) 0))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))) (- 1 (pow x (/ 1 n))))
x
(+ (* x (+ (* x (/ (+ (* (+ (* n -1/2) (* (+ (* n n) 0) 1/3)) (* n (+ (* n n) 0))) (* (* n (+ (* n n) 0)) 1/6)) (* (* n (+ (* n n) 0)) (* n (+ (* n n) 0))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))
(+ (* x (/ (+ (* (+ (* n -1/2) (* (+ (* n n) 0) 1/3)) (* n (+ (* n n) 0))) (* (* n (+ (* n n) 0)) 1/6)) (* (* n (+ (* n n) 0)) (* n (+ (* n n) 0))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(/ (+ (* (+ (* n -1/2) (* (+ (* n n) 0) 1/3)) (* n (+ (* n n) 0))) (* (* n (+ (* n n) 0)) 1/6)) (* (* n (+ (* n n) 0)) (* n (+ (* n n) 0))))
(+ (* (+ (* n -1/2) (* (+ (* n n) 0) 1/3)) (* n (+ (* n n) 0))) (* (* n (+ (* n n) 0)) 1/6))
(+ (* n -1/2) (* (+ (* n n) 0) 1/3))
n
-1/2
(* (+ (* n n) 0) 1/3)
(+ (* n n) 0)
0
1/3
(* n (+ (* n n) 0))
(* (* n (+ (* n n) 0)) 1/6)
1/6
(* (* n (+ (* n n) 0)) (* n (+ (* n n) 0)))
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(/ 1/2 (* n n))
1/2
(* n n)
(/ -1/2 n)
(/ 1 n)
1
(- 1 (pow x (/ 1 n)))
(pow x (/ 1 n))
(/ (+ (/ (+ (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6)) (neg n)) (* -1/2 (pow (log x) 2))) (neg n)) (log x)) (neg n))
(+ (/ (+ (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6)) (neg n)) (* -1/2 (pow (log x) 2))) (neg n)) (log x))
(/ (+ (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6)) (neg n)) (* -1/2 (pow (log x) 2))) (neg n))
(+ (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6)) (neg n)) (* -1/2 (pow (log x) 2)))
(/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6)) (neg n))
(+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6))
1/24
(/ (pow (log x) 4) n)
(pow (log x) 4)
(log x)
x
4
n
(* (pow (log x) 3) 1/6)
(pow (log x) 3)
3
1/6
(neg n)
(* -1/2 (pow (log x) 2))
-1/2
(pow (log x) 2)
2
Outputs
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/ (log (+ 1 x)) n)
(/.f64 (log1p.f64 x) n)
(log (+ 1 x))
(log1p.f64 x)
x
n
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(/ (- x (log x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(- x (log x))
(-.f64 x (log.f64 x))
x
(log x)
(log.f64 x)
n
(+ (* x (+ (* x (+ (* x (/ (+ (* (+ (* n -1/2) (* (+ (* n n) 0) 1/3)) (* n (+ (* n n) 0))) (* (* n (+ (* n n) 0)) 1/6)) (* (* n (+ (* n n) 0)) (* n (+ (* n n) 0))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))) (- 1 (pow x (/ 1 n))))
(-.f64 (fma.f64 x (fma.f64 (/.f64 x (fma.f64 n n #s(literal 0 binary64))) (fma.f64 (/.f64 x n) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (/.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)))
x
(+ (* x (+ (* x (/ (+ (* (+ (* n -1/2) (* (+ (* n n) 0) 1/3)) (* n (+ (* n n) 0))) (* (* n (+ (* n n) 0)) 1/6)) (* (* n (+ (* n n) 0)) (* n (+ (* n n) 0))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))
(fma.f64 (/.f64 x (fma.f64 n n #s(literal 0 binary64))) (fma.f64 (/.f64 x n) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1 binary64) n)))
(+ (* x (/ (+ (* (+ (* n -1/2) (* (+ (* n n) 0) 1/3)) (* n (+ (* n n) 0))) (* (* n (+ (* n n) 0)) 1/6)) (* (* n (+ (* n n) 0)) (* n (+ (* n n) 0))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(+.f64 (/.f64 #s(literal -1/2 binary64) n) (fma.f64 x (/.f64 (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (fma.f64 n (fma.f64 n n #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1/2 binary64) (fma.f64 n n #s(literal 0 binary64)))))
(/ (+ (* (+ (* n -1/2) (* (+ (* n n) 0) 1/3)) (* n (+ (* n n) 0))) (* (* n (+ (* n n) 0)) 1/6)) (* (* n (+ (* n n) 0)) (* n (+ (* n n) 0))))
(/.f64 (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) (fma.f64 n (fma.f64 n n #s(literal 0 binary64)) #s(literal 0 binary64)))
(+ (* (+ (* n -1/2) (* (+ (* n n) 0) 1/3)) (* n (+ (* n n) 0))) (* (* n (+ (* n n) 0)) 1/6))
(fma.f64 n (fma.f64 (fma.f64 n n #s(literal 0 binary64)) (fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* n -1/2) (* (+ (* n n) 0) 1/3))
(fma.f64 n (fma.f64 n #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
n
-1/2
#s(literal -1/2 binary64)
(* (+ (* n n) 0) 1/3)
(fma.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64) #s(literal 0 binary64))
(+ (* n n) 0)
(fma.f64 n n #s(literal 0 binary64))
0
#s(literal 0 binary64)
1/3
#s(literal 1/3 binary64)
(* n (+ (* n n) 0))
(fma.f64 n (fma.f64 n n #s(literal 0 binary64)) #s(literal 0 binary64))
(* (* n (+ (* n n) 0)) 1/6)
(fma.f64 n (fma.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
1/6
#s(literal 1/6 binary64)
(* (* n (+ (* n n) 0)) (* n (+ (* n n) 0)))
(fma.f64 n (fma.f64 n (fma.f64 n (fma.f64 n (fma.f64 n n #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(+.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 n n #s(literal 0 binary64))) (/.f64 #s(literal -1/2 binary64) n))
(/ 1/2 (* n n))
(/.f64 #s(literal 1/2 binary64) (fma.f64 n n #s(literal 0 binary64)))
1/2
#s(literal 1/2 binary64)
(* n n)
(fma.f64 n n #s(literal 0 binary64))
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)
(- 1 (pow x (/ 1 n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ (+ (/ (+ (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6)) (neg n)) (* -1/2 (pow (log x) 2))) (neg n)) (log x)) (neg n))
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal -1/24 binary64) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) n)) n) (log.f64 x)) n)
(+ (/ (+ (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6)) (neg n)) (* -1/2 (pow (log x) 2))) (neg n)) (log x))
(+.f64 (log.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) n))) n)) n))
(/ (+ (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6)) (neg n)) (* -1/2 (pow (log x) 2))) (neg n))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) n))) n)) n)
(+ (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6)) (neg n)) (* -1/2 (pow (log x) 2)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal -1/24 binary64) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) n))
(/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6)) (neg n))
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal -1/24 binary64) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) n)
(+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) n)))
1/24
#s(literal 1/24 binary64)
(/ (pow (log x) 4) n)
(/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n)
(pow (log x) 4)
(pow.f64 (log.f64 x) #s(literal 4 binary64))
(log x)
(log.f64 x)
x
4
#s(literal 4 binary64)
n
(* (pow (log x) 3) 1/6)
(*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
1/6
#s(literal 1/6 binary64)
(neg n)
(-.f64 #s(literal 0 binary64) n)
(* -1/2 (pow (log x) 2))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize433.0ms (1.6%)

Memory
14.4MiB live, 823.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
✓accuracy99.2%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓accuracy98.9%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
✓accuracy98.7%
(pow.f64 (log.f64 x) #s(literal 4 binary64))
✓accuracy93.9%
(fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))
✓accuracy84.5%
(fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
✓accuracy47.5%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy23.6%
(/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64)))))
✓accuracy100.0%
(-.f64 x (log.f64 x))
✓accuracy100.0%
(log.f64 x)
✓accuracy99.8%
(/.f64 (-.f64 x (log.f64 x)) n)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓accuracy99.9%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy99.9%
(exp.f64 (/.f64 (log1p.f64 x) n))
✓accuracy99.8%
(/.f64 (log1p.f64 x) n)
✓accuracy62.3%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Samples
144.0ms90×2valid
104.0ms55×1valid
55.0ms111×0valid
Compiler

Compiled 557 to 59 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 206.0ms
ival-pow: 55.0ms (26.7% of total)
ival-div: 29.0ms (14.1% of total)
ival-mult: 29.0ms (14.1% of total)
ival-add: 20.0ms (9.7% of total)
const: 17.0ms (8.3% of total)
adjust: 15.0ms (7.3% of total)
ival-log1p: 13.0ms (6.3% of total)
ival-sub: 9.0ms (4.4% of total)
ival-exp: 7.0ms (3.4% of total)
ival-log: 5.0ms (2.4% of total)
ival-pow2: 4.0ms (1.9% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series105.0ms (0.4%)

Memory
4.3MiB live, 274.1MiB allocated
Counts
23 → 408
Calls
Call 1
Inputs
#<alt (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (/ (log (+ 1 x)) n)>
#<alt (log (+ 1 x))>
#<alt (- 1 1)>
#<alt (/ (- x (log x)) n)>
#<alt (- x (log x))>
#<alt (log x)>
#<alt (/ (+ (* (+ (* n -1/2) (* (+ (* n n) 0) 1/3)) (* n (+ (* n n) 0))) (* (* n (+ (* n n) 0)) 1/6)) (* (* n (+ (* n n) 0)) (* n (+ (* n n) 0))))>
#<alt (+ (* (+ (* n -1/2) (* (+ (* n n) 0) 1/3)) (* n (+ (* n n) 0))) (* (* n (+ (* n n) 0)) 1/6))>
#<alt (+ (* x (+ (* x (/ (+ (* (+ (* n -1/2) (* (+ (* n n) 0) 1/3)) (* n (+ (* n n) 0))) (* (* n (+ (* n n) 0)) 1/6)) (* (* n (+ (* n n) 0)) (* n (+ (* n n) 0))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))>
#<alt (+ (* n -1/2) (* (+ (* n n) 0) 1/3))>
#<alt (/ (+ (/ (+ (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6)) (neg n)) (* -1/2 (pow (log x) 2))) (neg n)) (log x)) (neg n))>
#<alt (/ (+ (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6)) (neg n)) (* -1/2 (pow (log x) 2))) (neg n))>
#<alt (+ (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6)) (neg n)) (* -1/2 (pow (log x) 2)))>
#<alt (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6)) (neg n))>
#<alt (pow x (/ 1 n))>
#<alt (- 1 (pow x (/ 1 n)))>
#<alt (+ (* x (/ (+ (* (+ (* n -1/2) (* (+ (* n n) 0) 1/3)) (* n (+ (* n n) 0))) (* (* n (+ (* n n) 0)) 1/6)) (* (* n (+ (* n n) 0)) (* n (+ (* n n) 0))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))>
#<alt (pow (log x) 4)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 2)>
#<alt (* (pow (log x) 3) 1/6)>
Outputs
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<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)))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<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)>
#<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)>
#<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)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<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))>
#<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))>
#<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))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<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)>
#<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)>
#<alt (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -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))>
#<alt (* -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))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<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))))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))>
#<alt (+ (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))))>
#<alt (+ (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)))))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))>
#<alt (+ (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)))>
#<alt (+ (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)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))>
#<alt (+ 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))))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))>
#<alt (/ x n)>
#<alt (* x (+ (* -1/2 (/ x n)) (/ 1 n)))>
#<alt (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x)))>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2))))>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2)))))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (+ (/ 1 (* n x)) (/ (log -1) n)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) (/ (log -1) n)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) (/ (log -1) n)))>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (* -1 (/ (log x) n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (/ x n)>
#<alt (* x (+ (/ 1 n) (/ (log (/ 1 x)) (* n x))))>
#<alt (* x (+ (/ 1 n) (/ (log (/ 1 x)) (* n x))))>
#<alt (* x (+ (/ 1 n) (/ (log (/ 1 x)) (* n x))))>
#<alt (/ x n)>
#<alt (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (/ 1 n))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (/ 1 n))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (/ 1 n))))>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (* -1 (log x))>
#<alt (- x (log x))>
#<alt (- x (log x))>
#<alt (- x (log x))>
#<alt x>
#<alt (* x (+ 1 (/ (log (/ 1 x)) x)))>
#<alt (* x (+ 1 (/ (log (/ 1 x)) x)))>
#<alt (* x (+ 1 (/ (log (/ 1 x)) x)))>
#<alt x>
#<alt (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) x)) (/ (log -1) x)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) x)) (/ (log -1) x)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) x)) (/ (log -1) x)) 1)))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (/ 1/6 (pow n 3))>
#<alt (/ (+ 1/6 (* -1/2 n)) (pow n 3))>
#<alt (/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))>
#<alt (/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))>
#<alt (/ 1/3 n)>
#<alt (/ (- 1/3 (* 1/2 (/ 1 n))) n)>
#<alt (/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)>
#<alt (/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)>
#<alt (/ 1/3 n)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))>
#<alt (* 1/6 (pow n 3))>
#<alt (* (pow n 3) (+ 1/6 (* -1/2 n)))>
#<alt (* (pow n 3) (+ 1/6 (* n (- (* 1/3 n) 1/2))))>
#<alt (* (pow n 3) (+ 1/6 (* n (- (* 1/3 n) 1/2))))>
#<alt (* 1/3 (pow n 5))>
#<alt (* (pow n 5) (- 1/3 (* 1/2 (/ 1 n))))>
#<alt (* (pow n 5) (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow n 5) (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* 1/3 (pow n 5))>
#<alt (* -1 (* (pow n 5) (- (* 1/2 (/ 1 n)) 1/3)))>
#<alt (* -1 (* (pow n 5) (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3)))>
#<alt (* -1 (* (pow n 5) (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3)))>
#<alt (/ 1 n)>
#<alt (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))>
#<alt (+ (* 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))>
#<alt (+ (* 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))>
#<alt (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))>
#<alt (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))>
#<alt (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))>
#<alt (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x))) x)) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x))) x)) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* 1/6 (/ (pow x 2) (pow n 3)))>
#<alt (/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3))>
#<alt (/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3))>
#<alt (/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3))>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 1/2))) n)>
#<alt (/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n)>
#<alt (/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n)>
#<alt (/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n)>
#<alt (* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))>
#<alt (* -1/2 n)>
#<alt (* n (- (* 1/3 n) 1/2))>
#<alt (* n (- (* 1/3 n) 1/2))>
#<alt (* n (- (* 1/3 n) 1/2))>
#<alt (* 1/3 (pow n 2))>
#<alt (* (pow n 2) (- 1/3 (* 1/2 (/ 1 n))))>
#<alt (* (pow n 2) (- 1/3 (* 1/2 (/ 1 n))))>
#<alt (* (pow n 2) (- 1/3 (* 1/2 (/ 1 n))))>
#<alt (* 1/3 (pow n 2))>
#<alt (* (pow n 2) (- 1/3 (* 1/2 (/ 1 n))))>
#<alt (* (pow n 2) (- 1/3 (* 1/2 (/ 1 n))))>
#<alt (* (pow n 2) (- 1/3 (* 1/2 (/ 1 n))))>
#<alt (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) n)) (* -1/2 (pow (log x) 2))) n))) n))>
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#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (* 1/6 (pow (log x) 3))>
#<alt (* 1/6 (pow (log x) 3))>
#<alt (* 1/6 (pow (log x) 3))>
#<alt (* 1/6 (pow (log x) 3))>
#<alt (* -1/6 (pow (log (/ 1 x)) 3))>
#<alt (* -1/6 (pow (log (/ 1 x)) 3))>
#<alt (* -1/6 (pow (log (/ 1 x)) 3))>
#<alt (* -1/6 (pow (log (/ 1 x)) 3))>
#<alt (* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))>
#<alt (* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))>
#<alt (* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))>
#<alt (* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))>
Calls

102 calls:

TimeVariablePointExpression
33.0ms
n
@0
(/ (log (+ 1 x)) n)
20.0ms
n
@0
(/ (- x (log x)) n)
8.0ms
n
@inf
(/ (log (+ 1 x)) n)
6.0ms
n
@inf
(/ (- x (log x)) n)
5.0ms
x
@inf
(/ (+ (/ (+ (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6)) (neg n)) (* -1/2 (pow (log x) 2))) (neg n)) (log x)) (neg n))

rewrite503.0ms (1.9%)

Memory
-34.3MiB live, 862.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 480×/-lowering-/.f32
4 480×/-lowering-/.f64
4 116×*-lowering-*.f32
4 116×*-lowering-*.f64
3 862×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056333
1368285
23670285
09680263
Stop Event
1×iter limit
1×node limit
Counts
23 → 644
Calls
Call 1
Inputs
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(exp (/ (log (+ 1 x)) n))
(/ (log (+ 1 x)) n)
(log (+ 1 x))
(- 1 1)
(/ (- x (log x)) n)
(- x (log x))
(log x)
(/ (+ (* (+ (* n -1/2) (* (+ (* n n) 0) 1/3)) (* n (+ (* n n) 0))) (* (* n (+ (* n n) 0)) 1/6)) (* (* n (+ (* n n) 0)) (* n (+ (* n n) 0))))
(+ (* (+ (* n -1/2) (* (+ (* n n) 0) 1/3)) (* n (+ (* n n) 0))) (* (* n (+ (* n n) 0)) 1/6))
(+ (* x (+ (* x (/ (+ (* (+ (* n -1/2) (* (+ (* n n) 0) 1/3)) (* n (+ (* n n) 0))) (* (* n (+ (* n n) 0)) 1/6)) (* (* n (+ (* n n) 0)) (* n (+ (* n n) 0))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))) (/ 1 n))
(+ (* n -1/2) (* (+ (* n n) 0) 1/3))
(/ (+ (/ (+ (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6)) (neg n)) (* -1/2 (pow (log x) 2))) (neg n)) (log x)) (neg n))
(/ (+ (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6)) (neg n)) (* -1/2 (pow (log x) 2))) (neg n))
(+ (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6)) (neg n)) (* -1/2 (pow (log x) 2)))
(/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* (pow (log x) 3) 1/6)) (neg n))
(pow x (/ 1 n))
(- 1 (pow x (/ 1 n)))
(+ (* x (/ (+ (* (+ (* n -1/2) (* (+ (* n n) 0) 1/3)) (* n (+ (* n n) 0))) (* (* n (+ (* n n) 0)) 1/6)) (* (* n (+ (* n n) 0)) (* n (+ (* n n) 0))))) (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(pow (log x) 4)
(pow (log x) 3)
(pow (log x) 2)
(* (pow (log x) 3) 1/6)
Outputs
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (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)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) 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 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n))))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (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 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (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 #s(literal 1 binary64) 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 #s(literal 1 binary64) x) (/.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 #s(literal 1 binary64) 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 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (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)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (-.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (-.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))) (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n)))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) n))))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)))
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) n)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n))
(pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log1p.f64 x))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x))) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (exp.f64 (*.f64 (log1p.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)) (/.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 (-.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)))
(log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 n (log1p.f64 x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (log1p.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 n (log1p.f64 x)))))
(/.f64 (log1p.f64 x) n)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (log1p.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 n (log1p.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x))) n)
(/.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) n)
(/.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) #s(literal -1 binary64)) n)
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64))) n)
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) n))
(pow.f64 (/.f64 n (log1p.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n (log1p.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(*.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log1p.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64)))
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(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (log.f64 x))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 x)) (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 x)))))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 (log.f64 x)) (log.f64 (log.f64 x))))
(pow.f64 (log.f64 x) #s(literal 4 binary64))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (log.f64 x)) (log.f64 (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64) (*.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64))))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
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(*.f64 (log.f64 x) (log.f64 x))
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(*.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 x))
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3/2 binary64))) (pow.f64 (log.f64 x) #s(literal 3/2 binary64)))

simplify447.0ms (1.7%)

Memory
34.4MiB live, 665.3MiB allocated
Algorithm
1×egg-herbie
Rules
6 988×accelerator-lowering-fma.f32
6 988×accelerator-lowering-fma.f64
4 220×*-lowering-*.f32
4 220×*-lowering-*.f64
3 784×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06687104
119696603
255486511
081626145
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
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
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(* -1 (/ (+ (* 1/24 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4) n)) (* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) n))
(* -1/24 (/ (pow (log x) 4) (pow n 2)))
(/ (+ (* -1/6 (* n (pow (log x) 3))) (* -1/24 (pow (log x) 4))) (pow n 2))
(/ (+ (* -1/6 (* n (pow (log x) 3))) (* -1/24 (pow (log x) 4))) (pow n 2))
(/ (+ (* -1/6 (* n (pow (log x) 3))) (* -1/24 (pow (log x) 4))) (pow n 2))
(* -1/6 (/ (pow (log x) 3) n))
(/ (+ (* -1/6 (pow (log x) 3)) (* -1/24 (/ (pow (log x) 4) n))) n)
(/ (+ (* -1/6 (pow (log x) 3)) (* -1/24 (/ (pow (log x) 4) n))) n)
(/ (+ (* -1/6 (pow (log x) 3)) (* -1/24 (/ (pow (log x) 4) n))) n)
(* -1/6 (/ (pow (log x) 3) n))
(* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) n))
(* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) n))
(* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) 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 (exp (/ (log x) n)))
(- 1 (exp (/ (log x) n)))
(- 1 (exp (/ (log x) n)))
(- 1 (exp (/ (log x) n)))
(- 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(- 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(- 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(- 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(- 1 (exp (/ (log x) n)))
(- 1 (exp (/ (log x) n)))
(- 1 (exp (/ (log x) n)))
(- 1 (exp (/ (log x) n)))
(* -1 (/ (log x) n))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (* -1/24 (/ (pow (log x) 4) (pow n 3))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(* -1 (/ (log x) n))
(* -1 (/ (- (* 1/2 (/ (pow (log x) 2) n)) (* -1 (log x))) n))
(* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))
(- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))
(- (+ (* 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)))
(- (+ (* 1/2 (/ 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)))
(- (+ (* 1/2 (/ 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)))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(/ (* x (+ (* 1/6 (pow n 3)) (* (pow n 3) (+ (* -1/2 n) (* 1/3 (pow n 2)))))) (pow n 6))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 (pow n 3)) (* (pow n 3) (+ (* -1/2 n) (* 1/3 (pow n 2))))) (pow n 6))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 (pow n 3)) (* (pow n 3) (+ (* -1/2 n) (* 1/3 (pow n 2))))) (pow n 6))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))
(* -1 (* x (+ (* -1 (/ (+ (* 1/6 (pow n 3)) (* (pow n 3) (+ (* -1/2 n) (* 1/3 (pow n 2))))) (pow n 6))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))
(* 1/6 (/ x (pow n 3)))
(/ (+ (* 1/6 x) (* n (+ 1/2 (* -1/2 x)))) (pow n 3))
(/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* n (- (* 1/3 x) 1/2)))))) (pow n 3))
(/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* n (- (* 1/3 x) 1/2)))))) (pow n 3))
(/ (- (* 1/3 x) 1/2) n)
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) 1/2) n)
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n)
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n)
(* -1 (/ (+ 1/2 (* -1/3 x)) n))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x))) n))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n))
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n))
(pow (log x) 4)
(pow (log x) 4)
(pow (log x) 4)
(pow (log x) 4)
(pow (log (/ 1 x)) 4)
(pow (log (/ 1 x)) 4)
(pow (log (/ 1 x)) 4)
(pow (log (/ 1 x)) 4)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)
(pow (log x) 3)
(pow (log x) 3)
(pow (log x) 3)
(pow (log x) 3)
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(* 1/6 (pow (log x) 3))
(* 1/6 (pow (log x) 3))
(* 1/6 (pow (log x) 3))
(* 1/6 (pow (log x) 3))
(* -1/6 (pow (log (/ 1 x)) 3))
(* -1/6 (pow (log (/ 1 x)) 3))
(* -1/6 (pow (log (/ 1 x)) 3))
(* -1/6 (pow (log (/ 1 x)) 3))
(* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
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 (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)))
(-.f64 (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) (/.f64 #s(literal -1/2 binary64) 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))))
(/ (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 #s(literal 1 binary64) (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 (/.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 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) 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 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (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) (/.f64 #s(literal -1/2 binary64) n)) n)) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 n (*.f64 n n)) n)) (-.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)))) (/.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)) (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 (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)) (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 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #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)) (log.f64 (/.f64 #s(literal -1 binary64) 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)) (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 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #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)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 n (*.f64 n n)) n)) (-.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)))) (-.f64 #s(literal 0 binary64) 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 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x))) (-.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) 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 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)))) (-.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal -1/24 binary64) (*.f64 n (*.f64 n n))) (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n)) n)) (log.f64 x))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
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(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(* 1/6 (pow (log x) 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(* 1/6 (pow (log x) 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(* 1/6 (pow (log x) 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(* 1/6 (pow (log x) 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(* -1/6 (pow (log (/ 1 x)) 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(* -1/6 (pow (log (/ 1 x)) 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(* -1/6 (pow (log (/ 1 x)) 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(* -1/6 (pow (log (/ 1 x)) 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))
(* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))
(* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))
(* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))

eval214.0ms (0.8%)

Memory
23.0MiB live, 369.1MiB allocated
Compiler

Compiled 57 341 to 3 922 computations (93.2% saved)

prune171.0ms (0.6%)

Memory
-6.8MiB live, 403.4MiB allocated
Pruning

39 alts after pruning (36 fresh and 3 done)

PrunedKeptTotal
New1 181171 198
Fresh111930
Picked415
Done022
Total1 196391 235
Accuracy
100.0%
Counts
1 235 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.2%
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64))
4.0%
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))) (+.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) #s(literal 1 binary64)))
39.5%
(/.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)
27.8%
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
7.4%
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
23.2%
(/.f64 (fma.f64 n (fma.f64 n (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
19.3%
(/.f64 (fma.f64 n (fma.f64 n (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (log.f64 x) n)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal -1/24 binary64))) (*.f64 (*.f64 n (*.f64 n n)) n))
7.6%
(/.f64 (fma.f64 n (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
34.6%
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
59.3%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
50.1%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) n))
▶59.3%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
38.0%
(/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal -1/24 binary64) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) n)) n) (log.f64 x)) n)
28.2%
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (+.f64 x (log.f64 x)) (*.f64 x x))))
32.0%
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 x (log.f64 x))))
27.0%
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (fma.f64 n n #s(literal 0 binary64)))
✓28.3%
(/.f64 (-.f64 x (log.f64 x)) n)
27.7%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
43.5%
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) n))) n) (log.f64 x)) (neg.f64 n))
▶28.0%
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))) n)
28.2%
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) x))) n)
9.2%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
4.3%
(/.f64 x n)
28.2%
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
▶20.7%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
15.6%
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
27.7%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
✓32.3%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
12.5%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
38.2%
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) n))
28.5%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
✓40.2%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
37.6%
(+.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (/.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))))
28.2%
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
38.0%
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n))) (-.f64 #s(literal 0 binary64) n))) n)))
3.6%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
5.8%
(*.f64 (*.f64 x (*.f64 x 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)))))
▶39.4%
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 x n))))
▶34.3%
#s(literal 0 binary64)
Compiler

Compiled 1 620 to 941 computations (41.9% saved)

simplify267.0ms (1%)

Memory
-9.3MiB live, 416.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓cost-diff0
(-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))) n)
✓cost-diff14464
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x))))
✓cost-diff0
(/.f64 (log.f64 x) (*.f64 x n))
✓cost-diff0
(/.f64 #s(literal 1 binary64) n)
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 x n)))
✓cost-diff1408
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 x n))))
✓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)) #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 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
✓cost-diff576
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
Rules
6 510×accelerator-lowering-fma.f32
6 510×accelerator-lowering-fma.f64
3 664×*-lowering-*.f32
3 664×*-lowering-*.f64
1 544×--lowering--.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
026156
149154
2102154
3277145
4749133
52714133
65426133
08108133
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ 1 (pow x (/ -1 n))) (* x n))
(/ 1 (pow x (/ -1 n)))
1
(pow x (/ -1 n))
x
(/ -1 n)
-1
n
(* x n)
0
(- (pow (+ x 1) (/ 1 n)) 1)
(pow (+ x 1) (/ 1 n))
(+ x 1)
x
1
(/ 1 n)
n
(* x (- (/ 1 n) (/ (log x) (* x n))))
x
(- (/ 1 n) (/ (log x) (* x n)))
(/ 1 n)
1
n
(/ (log x) (* x n))
(log x)
(* x n)
(/ (* (- (* x x) (pow (log x) 2)) (/ 1 (+ x (log x)))) n)
(* (- (* x x) (pow (log x) 2)) (/ 1 (+ x (log x))))
(- (* x x) (pow (log x) 2))
(* x x)
x
(pow (log x) 2)
(log x)
2
(/ 1 (+ x (log x)))
1
(+ x (log x))
n
Outputs
(/ (/ 1 (pow x (/ -1 n))) (* x n))
(/.f64 #s(literal 1 binary64) (*.f64 n (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)))))
(/ 1 (pow x (/ -1 n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
1
#s(literal 1 binary64)
(pow x (/ -1 n))
(pow.f64 x (/.f64 #s(literal -1 binary64) n))
x
(/ -1 n)
(/.f64 #s(literal -1 binary64) n)
-1
#s(literal -1 binary64)
n
(* x n)
(fma.f64 x n #s(literal 0 binary64))
0
#s(literal 0 binary64)
(- (pow (+ x 1) (/ 1 n)) 1)
(+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)))
(pow (+ x 1) (/ 1 n))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
1
#s(literal 1 binary64)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(* x (- (/ 1 n) (/ (log x) (* x n))))
(/.f64 (-.f64 x (log.f64 x)) n)
x
(- (/ 1 n) (/ (log x) (* x n)))
(fma.f64 (/.f64 #s(literal -1 binary64) n) (+.f64 (/.f64 (log.f64 x) x) #s(literal -1 binary64)) #s(literal 0 binary64))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)
n
(/ (log x) (* x n))
(/.f64 (log.f64 x) (fma.f64 x n #s(literal 0 binary64)))
(log x)
(log.f64 x)
(* x n)
(fma.f64 x n #s(literal 0 binary64))
(/ (* (- (* x x) (pow (log x) 2)) (/ 1 (+ x (log x)))) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(* (- (* x x) (pow (log x) 2)) (/ 1 (+ x (log x))))
(-.f64 x (log.f64 x))
(- (* x x) (pow (log x) 2))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log x)
(log.f64 x)
2
#s(literal 2 binary64)
(/ 1 (+ x (log x)))
(/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))
1
#s(literal 1 binary64)
(+ x (log x))
(+.f64 x (log.f64 x))
n

localize224.0ms (0.8%)

Memory
1.1MiB live, 366.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))) n)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))
✓accuracy99.3%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓accuracy78.1%
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x))))
✓accuracy100.0%
(log.f64 x)
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 x n)))
✓accuracy98.5%
(/.f64 (log.f64 x) (*.f64 x n))
✓accuracy91.6%
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 x n))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy92.2%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy50.9%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 x n)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
✓accuracy99.9%
(pow.f64 x (/.f64 #s(literal -1 binary64) n))
✓accuracy93.2%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
Samples
75.0ms85×2valid
51.0ms96×1valid
25.0ms31×0exit
10.0ms44×0valid
Compiler

Compiled 163 to 28 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
ival-pow: 40.0ms (32.9% of total)
ival-div: 39.0ms (32.1% of total)
ival-mult: 10.0ms (8.2% of total)
ival-sub: 9.0ms (7.4% of total)
adjust: 8.0ms (6.6% of total)
ival-log: 6.0ms (4.9% of total)
ival-add: 5.0ms (4.1% of total)
ival-pow2: 4.0ms (3.3% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series62.0ms (0.2%)

Memory
10.5MiB live, 86.8MiB allocated
Counts
18 → 336
Calls
Call 1
Inputs
#<alt (/ (/ 1 (pow x (/ -1 n))) (* x n))>
#<alt (/ 1 (pow x (/ -1 n)))>
#<alt (pow x (/ -1 n))>
#<alt (/ -1 n)>
#<alt (- (pow (+ x 1) (/ 1 n)) 1)>
#<alt (pow (+ x 1) (/ 1 n))>
#<alt (+ x 1)>
#<alt (/ 1 n)>
#<alt (* x (- (/ 1 n) (/ (log x) (* x n))))>
#<alt (- (/ 1 n) (/ (log x) (* x n)))>
#<alt (/ (log x) (* x n))>
#<alt (* (- (* x x) (pow (log x) 2)) (/ 1 (+ x (log x))))>
#<alt (/ (* (- (* x x) (pow (log x) 2)) (/ 1 (+ x (log x)))) n)>
#<alt (- (* x x) (pow (log x) 2))>
#<alt (pow (log x) 2)>
#<alt (* x n)>
#<alt (log x)>
#<alt (/ 1 (+ x (log x)))>
Outputs
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))>
#<alt (/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))>
#<alt (/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))>
#<alt (/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n x))>
#<alt (/ (+ (/ 1 x) (/ (log x) (* n x))) n)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) (pow n 2))) (/ 1 x)) (* -1 (/ (log x) (* n x)))) n)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) x)) (+ (* 1/2 (/ (pow (log x) 3) x)) (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))))) (pow n 3))) (/ 1 x)) (+ (* -1 (/ (log x) (* n x))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) x))) (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x)))))) n)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) n)) (/ (log x) x)) n)) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))))) (+ (* -1/2 (/ (pow (log x) 3) x)) (* 1/6 (/ (pow (log x) 3) x)))) n)) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))>
#<alt (/ 1 (exp (* -1 (/ (log x) n))))>
#<alt (/ 1 (exp (* -1 (/ (log x) n))))>
#<alt (/ 1 (exp (* -1 (/ (log x) n))))>
#<alt (/ 1 (exp (* -1 (/ (log x) n))))>
#<alt (/ 1 (exp (/ (log (/ 1 x)) n)))>
#<alt (/ 1 (exp (/ (log (/ 1 x)) n)))>
#<alt (/ 1 (exp (/ (log (/ 1 x)) n)))>
#<alt (/ 1 (exp (/ (log (/ 1 x)) n)))>
#<alt (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))>
#<alt (/ 1 (exp (* -1 (/ (log x) n))))>
#<alt (/ 1 (exp (* -1 (/ (log x) n))))>
#<alt (/ 1 (exp (* -1 (/ (log x) n))))>
#<alt (/ 1 (exp (* -1 (/ (log x) n))))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))) (pow n 2)))) (* -1 (/ (log x) n)))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/6 (pow (log x) 3)) (+ (* 1/2 (pow (log x) 3)) (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))))) (pow n 3)))) (+ (* -1 (/ (log x) n)) (+ (* -1 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (pow (log x) 2) (pow n 2))))))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow (log x) 2) n))) (log x)) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n)) (+ (* -1/2 (/ (pow (log x) 3) n)) (* 1/6 (/ (pow (log x) 3) n)))) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n)) (log x)) n)))>
#<alt (exp (* -1 (/ (log x) n)))>
#<alt (exp (* -1 (/ (log x) n)))>
#<alt (exp (* -1 (/ (log x) n)))>
#<alt (exp (* -1 (/ (log x) n)))>
#<alt (exp (/ (log (/ 1 x)) n))>
#<alt (exp (/ (log (/ 1 x)) n))>
#<alt (exp (/ (log (/ 1 x)) n))>
#<alt (exp (/ (log (/ 1 x)) n))>
#<alt (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* -1 (/ (log x) n)))>
#<alt (exp (* -1 (/ (log x) n)))>
#<alt (exp (* -1 (/ (log x) n)))>
#<alt (exp (* -1 (/ (log x) n)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (log x) n)))>
#<alt (+ 1 (+ (* -1 (/ (log x) n)) (* 1/2 (/ (pow (log x) 2) (pow n 2)))))>
#<alt (+ 1 (+ (* -1 (/ (log x) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (* 1/2 (/ (pow (log x) 2) (pow n 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (log x) n)))>
#<alt (+ 1 (* -1 (/ (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ x n)>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* 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)))>
#<alt (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (* x (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (- (exp (* -1 (/ (log (/ 1 x)) n))) 1)>
#<alt (- (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) 1)>
#<alt (- (+ (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)))) 1)>
#<alt (- (+ (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))))) 1)>
#<alt (- (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1)>
#<alt (- (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))) 1)>
#<alt (- (+ (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))) 1)>
#<alt (- (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))) 1)>
#<alt (- (exp (/ (log (+ 1 x)) n)) 1)>
#<alt (- (exp (/ (log (+ 1 x)) n)) 1)>
#<alt (- (exp (/ (log (+ 1 x)) n)) 1)>
#<alt (- (exp (/ (log (+ 1 x)) n)) 1)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) n)>
#<alt (/ (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) n)>
#<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))))) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))>
#<alt (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))>
#<alt (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/24 (/ (pow (log (+ 1 x)) 4) n))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<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))))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))>
#<alt (+ (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))))>
#<alt (+ (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)))))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))>
#<alt (+ (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)))>
#<alt (+ (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)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))>
#<alt (+ 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))))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (* -1 (/ (log x) n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (/ x n)>
#<alt (* x (+ (/ 1 n) (/ (log (/ 1 x)) (* n x))))>
#<alt (* x (+ (/ 1 n) (/ (log (/ 1 x)) (* n x))))>
#<alt (* x (+ (/ 1 n) (/ (log (/ 1 x)) (* n x))))>
#<alt (/ x n)>
#<alt (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (/ 1 n))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (/ 1 n))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (/ 1 n))))>
#<alt (/ (* x (- 1 (/ (log x) x))) n)>
#<alt (/ (* x (- 1 (/ (log x) x))) n)>
#<alt (/ (* x (- 1 (/ (log x) x))) n)>
#<alt (/ (* x (- 1 (/ (log x) x))) n)>
#<alt (/ (* x (- 1 (/ (log x) x))) n)>
#<alt (/ (* x (- 1 (/ (log x) x))) n)>
#<alt (/ (* x (- 1 (/ (log x) x))) n)>
#<alt (/ (* x (- 1 (/ (log x) x))) n)>
#<alt (/ (* x (+ 1 (* -1 (/ (log x) x)))) n)>
#<alt (/ (* x (+ 1 (* -1 (/ (log x) x)))) n)>
#<alt (/ (* x (+ 1 (* -1 (/ (log x) x)))) n)>
#<alt (/ (* x (+ 1 (* -1 (/ (log x) x)))) n)>
#<alt (/ (- 1 (/ (log x) x)) n)>
#<alt (/ (- 1 (/ (log x) x)) n)>
#<alt (/ (- 1 (/ (log x) x)) n)>
#<alt (/ (- 1 (/ (log x) x)) n)>
#<alt (/ (- 1 (/ (log x) x)) n)>
#<alt (/ (- 1 (/ (log x) x)) n)>
#<alt (/ (- 1 (/ (log x) x)) n)>
#<alt (/ (- 1 (/ (log x) x)) n)>
#<alt (/ (+ 1 (* -1 (/ (log x) x))) n)>
#<alt (/ (+ 1 (* -1 (/ (log x) x))) n)>
#<alt (/ (+ 1 (* -1 (/ (log x) x))) n)>
#<alt (/ (+ 1 (* -1 (/ (log x) x))) n)>
#<alt (* -1 (/ (log x) (* n x)))>
#<alt (/ (- (/ x n) (/ (log x) n)) x)>
#<alt (/ (- (/ x n) (/ (log x) n)) x)>
#<alt (/ (- (/ x n) (/ (log x) n)) x)>
#<alt (/ 1 n)>
#<alt (+ (/ 1 n) (/ (log (/ 1 x)) (* n x)))>
#<alt (+ (/ 1 n) (/ (log (/ 1 x)) (* n x)))>
#<alt (+ (/ 1 n) (/ (log (/ 1 x)) (* n x)))>
#<alt (/ 1 n)>
#<alt (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n x))) (/ 1 n))>
#<alt (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n x))) (/ 1 n))>
#<alt (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n x))) (/ 1 n))>
#<alt (/ (log x) (* n x))>
#<alt (/ (log x) (* n x))>
#<alt (/ (log x) (* n x))>
#<alt (/ (log x) (* n x))>
#<alt (* -1 (/ (log (/ 1 x)) (* n x)))>
#<alt (* -1 (/ (log (/ 1 x)) (* n x)))>
#<alt (* -1 (/ (log (/ 1 x)) (* n x)))>
#<alt (* -1 (/ (log (/ 1 x)) (* n x)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n x))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n x))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n x))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n x))>
#<alt (/ (log x) (* n x))>
#<alt (/ (log x) (* n x))>
#<alt (/ (log x) (* n x))>
#<alt (/ (log x) (* n x))>
#<alt (/ (log x) (* n x))>
#<alt (/ (log x) (* n x))>
#<alt (/ (log x) (* n x))>
#<alt (/ (log x) (* n x))>
#<alt (/ (log x) (* n x))>
#<alt (/ (log x) (* n x))>
#<alt (/ (log x) (* n x))>
#<alt (/ (log x) (* n x))>
#<alt (* -1 (log x))>
#<alt (+ x (* -1 (log x)))>
#<alt (+ x (* -1 (log x)))>
#<alt (+ x (* -1 (log x)))>
#<alt x>
#<alt (* x (+ 1 (/ (log (/ 1 x)) x)))>
#<alt (* x (+ 1 (/ (log (/ 1 x)) x)))>
#<alt (* x (+ 1 (/ (log (/ 1 x)) x)))>
#<alt x>
#<alt (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) x)) (/ (log -1) x)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) x)) (/ (log -1) x)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) x)) (/ (log -1) x)) 1)))>
#<alt (* -1 (/ (log x) n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (/ x n)>
#<alt (* x (+ (/ 1 n) (/ (log (/ 1 x)) (* n x))))>
#<alt (* x (+ (/ 1 n) (/ (log (/ 1 x)) (* n x))))>
#<alt (* x (+ (/ 1 n) (/ (log (/ 1 x)) (* n x))))>
#<alt (/ x n)>
#<alt (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (/ 1 n))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n) (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))) x)) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) x)) (/ 1 n))))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n) (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))))) x)) (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (* (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))) x)) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) x)) (/ 1 n))))>
#<alt (/ (- (pow x 2) (pow (log x) 2)) (* n (+ x (log x))))>
#<alt (/ (- (pow x 2) (pow (log x) 2)) (* n (+ x (log x))))>
#<alt (/ (- (pow x 2) (pow (log x) 2)) (* n (+ x (log x))))>
#<alt (/ (- (pow x 2) (pow (log x) 2)) (* n (+ x (log x))))>
#<alt (/ (- (pow x 2) (pow (log x) 2)) (* n (+ x (log x))))>
#<alt (/ (- (pow x 2) (pow (log x) 2)) (* n (+ x (log x))))>
#<alt (/ (- (pow x 2) (pow (log x) 2)) (* n (+ x (log x))))>
#<alt (/ (- (pow x 2) (pow (log x) 2)) (* n (+ x (log x))))>
#<alt (/ (- (pow x 2) (pow (log x) 2)) (* n (+ x (log x))))>
#<alt (/ (- (pow x 2) (pow (log x) 2)) (* n (+ x (log x))))>
#<alt (/ (- (pow x 2) (pow (log x) 2)) (* n (+ x (log x))))>
#<alt (/ (- (pow x 2) (pow (log x) 2)) (* n (+ x (log x))))>
#<alt (* -1 (pow (log x) 2))>
#<alt (- (pow x 2) (pow (log x) 2))>
#<alt (- (pow x 2) (pow (log x) 2))>
#<alt (- (pow x 2) (pow (log x) 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow (log (/ 1 x)) 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow (log (/ 1 x)) 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow (log (/ 1 x)) 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow x 2)))))>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (/ 1 (log x))>
#<alt (+ (* -1 (/ x (pow (log x) 2))) (/ 1 (log x)))>
#<alt (+ (* x (- (/ x (pow (log x) 3)) (/ 1 (pow (log x) 2)))) (/ 1 (log x)))>
#<alt (+ (* x (- (* x (+ (* -1 (/ x (pow (log x) 4))) (/ 1 (pow (log x) 3)))) (/ 1 (pow (log x) 2)))) (/ 1 (log x)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ (log (/ 1 x)) x)) x)>
#<alt (/ (- (+ 1 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (* -1 (/ (log (/ 1 x)) x))) x)>
#<alt (/ (- (+ 1 (/ (pow (log (/ 1 x)) 3) (pow x 3))) (+ (* -1 (/ (log (/ 1 x)) x)) (* -1 (/ (pow (log (/ 1 x)) 2) (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (+ (* -1 (/ (log (/ -1 x)) x)) (/ (log -1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) x) (+ (log -1) (* -1 (log (/ -1 x))))) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) x) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) x)) (+ (log -1) (* -1 (log (/ -1 x))))) x)) 1) x))>
Calls

84 calls:

TimeVariablePointExpression
21.0ms
x
@inf
(/ 1 (pow x (/ -1 n)))
6.0ms
x
@0
(/ (/ 1 (pow x (/ -1 n))) (* x n))
5.0ms
x
@-inf
(/ (log x) (* x n))
3.0ms
x
@inf
(/ (log x) (* x n))
2.0ms
x
@-inf
(* (- (* x x) (pow (log x) 2)) (/ 1 (+ x (log x))))

rewrite377.0ms (1.4%)

Memory
-1.2MiB live, 559.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 180×*-lowering-*.f32
5 180×*-lowering-*.f64
4 148×/-lowering-/.f32
4 148×/-lowering-/.f64
3 352×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025125
1169101
21495101
0848995
Stop Event
1×iter limit
1×node limit
Counts
18 → 708
Calls
Call 1
Inputs
(/ (/ 1 (pow x (/ -1 n))) (* x n))
(/ 1 (pow x (/ -1 n)))
(pow x (/ -1 n))
(/ -1 n)
(- (pow (+ x 1) (/ 1 n)) 1)
(pow (+ x 1) (/ 1 n))
(+ x 1)
(/ 1 n)
(* x (- (/ 1 n) (/ (log x) (* x n))))
(- (/ 1 n) (/ (log x) (* x n)))
(/ (log x) (* x n))
(* (- (* x x) (pow (log x) 2)) (/ 1 (+ x (log x))))
(/ (* (- (* x x) (pow (log x) 2)) (/ 1 (+ x (log x)))) n)
(- (* x x) (pow (log x) 2))
(pow (log x) 2)
(* x n)
(log x)
(/ 1 (+ x (log x)))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 n (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (*.f64 x n))))
(neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (*.f64 x n))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 n (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 n (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (*.f64 n (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x n) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 n (pow.f64 x (/.f64 #s(literal -1 binary64) n))))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x n) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 n (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x n))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 x n)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x n)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n))) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(/.f64 (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n)))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(pow.f64 (*.f64 x (*.f64 n (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (*.f64 n (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 n (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (*.f64 x n))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) x))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x n))))
(*.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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (/.f64 #s(literal 1 binary64) 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 (pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (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 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.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 #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 n (pow.f64 x (/.f64 #s(literal -1 binary64) n))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x n) (pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 x n) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x n)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x 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))) #s(literal 1 binary64)) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1/2 binary64))) (*.f64 x 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))) #s(literal 1 binary64)) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (*.f64 x n)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) n))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) n)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) x))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) 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))) (*.f64 x n)) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.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))) (*.f64 x n)) (/.f64 (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) (*.f64 #s(literal 1 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 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))) (*.f64 #s(literal 1 binary64) n)) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) x))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n))))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))))
(/.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 (neg.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 x (/.f64 #s(literal 1 binary64) n))
(pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)))
(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 (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))) #s(literal -1 binary64)))
(pow.f64 x (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(pow.f64 x (neg.f64 (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 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)))))
(pow.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal -1 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 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (*.f64 x x) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64))) #s(literal -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 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) #s(literal -1 binary64))
(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 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (pow.f64 x (/.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)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.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) (*.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))) (pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1/2 binary64))))
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(fma.f64 #s(literal 1 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 x x (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x))
(fma.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (log.f64 x)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 x) (*.f64 x x))
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(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 6 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64))))))))
(pow.f64 (/.f64 (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 x (log.f64 x)) (-.f64 x (log.f64 x)))
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 x (log.f64 x)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 x))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 x n))
(*.f64 x n)
(*.f64 n x)
(*.f64 (*.f64 x n) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) n) x)
(log.f64 x)
(+.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(exp.f64 (log.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(pow.f64 (log.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (log.f64 x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 x (log.f64 x))))
(/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (log.f64 x)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (log.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (log.f64 x))))))
(pow.f64 (+.f64 x (log.f64 x)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x (log.f64 x)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 x (log.f64 x)) (+.f64 x (log.f64 x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 x (log.f64 x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x (log.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 x (log.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x (log.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 x (log.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) x) (*.f64 x x))) #s(literal -1 binary64)))

simplify669.0ms (2.5%)

Memory
23.8MiB live, 454.2MiB allocated
Algorithm
1×egg-herbie
Rules
9 686×accelerator-lowering-fma.f32
9 686×accelerator-lowering-fma.f64
4 526×*-lowering-*.f32
4 526×*-lowering-*.f64
4 012×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04534000
113203649
238453477
082893327
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
Calls
Call 1
Inputs
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n x))
(/ (+ (/ 1 x) (/ (log x) (* n x))) n)
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) (pow n 2))) (/ 1 x)) (* -1 (/ (log x) (* n x)))) n)
(/ (- (+ (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) x)) (+ (* 1/2 (/ (pow (log x) 3) x)) (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))))) (pow n 3))) (/ 1 x)) (+ (* -1 (/ (log x) (* n x))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) x))) (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x)))))) n)
(/ 1 (* n x))
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))))) (+ (* -1/2 (/ (pow (log x) 3) x)) (* 1/6 (/ (pow (log x) 3) x)))) n)) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(/ 1 (exp (* -1 (/ (log x) n))))
(/ 1 (exp (* -1 (/ (log x) n))))
(/ 1 (exp (* -1 (/ (log x) n))))
(/ 1 (exp (* -1 (/ (log x) n))))
(/ 1 (exp (/ (log (/ 1 x)) n)))
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(/ (- (pow x 2) (pow (log x) 2)) (* n (+ x (log x))))
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(/ (- (pow x 2) (pow (log x) 2)) (* n (+ x (log x))))
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(/ (- (pow x 2) (pow (log x) 2)) (* n (+ x (log x))))
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(/ (- (pow x 2) (pow (log x) 2)) (* n (+ x (log x))))
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(/ (- (pow x 2) (pow (log x) 2)) (* n (+ x (log x))))
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(* -1 (pow (log x) 2))
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(- (pow x 2) (pow (log x) 2))
(fma.f64 x x (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(- (pow x 2) (pow (log x) 2))
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(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow (log (/ 1 x)) 2) (pow x 2)))))
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(* (pow x 2) (+ 1 (* -1 (/ (pow (log (/ 1 x)) 2) (pow x 2)))))
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(* (pow x 2) (+ 1 (* -1 (/ (pow (log (/ 1 x)) 2) (pow x 2)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow x 2)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)) (*.f64 x x))))
(* (pow x 2) (+ 1 (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow x 2)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)) (*.f64 x x))))
(* (pow x 2) (+ 1 (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow x 2)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)) (*.f64 x x))))
(pow (log x) 2)
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(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
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(pow (log (/ 1 x)) 2)
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(pow (log (/ 1 x)) 2)
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(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64))
(* n x)
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(* n x)
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(* n x)
(*.f64 n x)
(* n x)
(*.f64 n x)
(* n x)
(*.f64 n x)
(* n x)
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(* n x)
(*.f64 n x)
(* n x)
(*.f64 n x)
(* n x)
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(* n x)
(*.f64 n x)
(* n x)
(*.f64 n x)
(* n x)
(*.f64 n x)
(* n x)
(*.f64 n x)
(* n x)
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(* n x)
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(* n x)
(*.f64 n x)
(* n x)
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(* n x)
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(* n x)
(*.f64 n x)
(* n x)
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(* n x)
(*.f64 n x)
(* n x)
(*.f64 n x)
(* n x)
(*.f64 n x)
(* n x)
(*.f64 n x)
(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 (-.f64 #s(literal 0 binary64) x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (log -1) (* -1 (log (/ -1 x))))
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(+ (log -1) (* -1 (log (/ -1 x))))
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(/ 1 (log x))
(/.f64 #s(literal 1 binary64) (log.f64 x))
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(-.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (/.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(+ (* x (- (/ x (pow (log x) 3)) (/ 1 (pow (log x) 2)))) (/ 1 (log x)))
(fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 x (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(+ (* x (- (* x (+ (* -1 (/ x (pow (log x) 4))) (/ 1 (pow (log x) 3)))) (/ 1 (pow (log x) 2)))) (/ 1 (log x)))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 x (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 x)))
(/ 1 x)
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(/ (+ 1 (/ (log (/ 1 x)) x)) x)
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(/ (- (+ 1 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (* -1 (/ (log (/ 1 x)) x))) x)
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) x)) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) x)) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ (pow (log (/ 1 x)) 3) (pow x 3))) (+ (* -1 (/ (log (/ 1 x)) x)) (* -1 (/ (pow (log (/ 1 x)) 2) (pow x 2))))) x)
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) x)) (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) x)) (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) x)) #s(literal 3 binary64)))) x)
(/ 1 x)
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(* -1 (/ (- (+ (* -1 (/ (log (/ -1 x)) x)) (/ (log -1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal -1 binary64))) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) x) (+ (log -1) (* -1 (log (/ -1 x))))) x)) 1) x))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) x) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) x)) (+ (log -1) (* -1 (log (/ -1 x))))) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)))) x))) x)) x)) x)

eval299.0ms (1.1%)

Memory
-17.7MiB live, 140.3MiB allocated
Compiler

Compiled 23 359 to 2 763 computations (88.2% saved)

prune408.0ms (1.5%)

Memory
-16.3MiB live, 186.0MiB allocated
Pruning

43 alts after pruning (39 fresh and 4 done)

PrunedKeptTotal
New1 130171 147
Fresh92231
Picked415
Done033
Total1 143431 186
Accuracy
100.0%
Counts
1 186 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.2%
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64))
4.0%
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))) (+.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) #s(literal 1 binary64)))
39.5%
(/.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)
27.8%
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
7.4%
(/.f64 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
23.2%
(/.f64 (fma.f64 n (fma.f64 n (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
19.3%
(/.f64 (fma.f64 n (fma.f64 n (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (log.f64 x) n)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal -1/24 binary64))) (*.f64 (*.f64 n (*.f64 n n)) n))
34.6%
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
59.3%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
60.3%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
60.4%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
38.0%
(/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal -1/24 binary64) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) n)) n) (log.f64 x)) n)
32.0%
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 x (log.f64 x)) n))
27.0%
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (fma.f64 n n #s(literal 0 binary64)))
✓28.3%
(/.f64 (-.f64 x (log.f64 x)) n)
27.7%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
43.5%
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) n))) n) (log.f64 x)) (neg.f64 n))
6.5%
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 x) x) #s(literal 3 binary64))) (*.f64 n (*.f64 n n))) x) (fma.f64 (/.f64 (log.f64 x) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 x n))) (/.f64 #s(literal 1 binary64) (*.f64 n n))))
27.6%
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 x (log.f64 x)))) n)
26.8%
(/.f64 (*.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) x) (*.f64 n (*.f64 x n)))
28.2%
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) x))) n)
9.2%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
5.1%
(/.f64 (log1p.f64 x) n)
59.3%
(/.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)))) (*.f64 x n))
4.3%
(/.f64 x n)
28.2%
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
44.5%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
59.5%
(/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
46.8%
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)))
27.7%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
✓32.3%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
12.5%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
38.2%
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) n))
✓40.2%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
37.6%
(+.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (/.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))))
25.7%
(*.f64 (/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (*.f64 x n)) (/.f64 x n))
28.2%
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
39.4%
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)))
39.4%
(*.f64 x (fma.f64 (log.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)))
53.5%
(*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x))))
4.3%
(*.f64 x (/.f64 #s(literal 1 binary64) n))
13.1%
(expm1.f64 (/.f64 (log1p.f64 x) n))
✓34.3%
#s(literal 0 binary64)
Compiler

Compiled 2 801 to 834 computations (70.2% saved)

regimes236.0ms (0.9%)

Memory
13.9MiB live, 127.9MiB allocated
Counts
81 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(*.f64 (*.f64 x (*.f64 x 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 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x))))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) x))) n)
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (fma.f64 n n #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 x n))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)))
(/.f64 (*.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) x) (*.f64 n (*.f64 x n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 x (fma.f64 (log.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (*.f64 x n)) (/.f64 x n))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))) (+.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) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) 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)))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 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)) (-.f64 #s(literal 1 binary64) (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 (exp.f64 (neg.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)))) (*.f64 x n))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))) (+.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))))
(/.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 n (fma.f64 n (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 x (log.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 x (log.f64 x)) n))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))) n)
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) n))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (+.f64 x (log.f64 x)) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 x) x) #s(literal 3 binary64))) (*.f64 n (*.f64 n n))) x) (fma.f64 (/.f64 (log.f64 x) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 x n))) (/.f64 #s(literal 1 binary64) (*.f64 n n))))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) n))
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) n))) n) (log.f64 x)) (neg.f64 n))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 x (log.f64 x)))) n)
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n)
(-.f64 (/.f64 (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 (fma.f64 n (fma.f64 n (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (log.f64 x) n)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal -1/24 binary64))) (*.f64 (*.f64 n (*.f64 n n)) n))
(/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal -1/24 binary64) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) n)) n) (log.f64 x)) n)
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n))) (-.f64 #s(literal 0 binary64) n))) n)))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) (neg.f64 n)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) (fma.f64 n n #s(literal 0 binary64)))) n)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))) (fma.f64 n n #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (*.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) n)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 9 binary64)))) (*.f64 (+.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)))) (+.f64 (+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))))))
(+.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (/.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))))
(/.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)) (-.f64 #s(literal 0 binary64) 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)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) n) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))))
Outputs
(/.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)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
Calls

4 calls:

99.0ms
x
82.0ms
n
22.0ms
(/.f64 #s(literal 1 binary64) n)
18.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
88.0%2x
88.2%4n
85.0%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)))
88.2%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes57.0ms (0.2%)

Memory
-0.3MiB live, 41.2MiB allocated
Counts
76 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(*.f64 (*.f64 x (*.f64 x 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 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x))))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) x))) n)
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (fma.f64 n n #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 x n))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)))
(/.f64 (*.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) x) (*.f64 n (*.f64 x n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 x (fma.f64 (log.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (*.f64 x n)) (/.f64 x n))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))) (+.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) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) 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)))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 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)) (-.f64 #s(literal 1 binary64) (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 (exp.f64 (neg.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)))) (*.f64 x n))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))) (+.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))))
(/.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 n (fma.f64 n (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 x (log.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 x (log.f64 x)) n))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))) n)
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) n))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (+.f64 x (log.f64 x)) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 x) x) #s(literal 3 binary64))) (*.f64 n (*.f64 n n))) x) (fma.f64 (/.f64 (log.f64 x) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 x n))) (/.f64 #s(literal 1 binary64) (*.f64 n n))))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) n))
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) n))) n) (log.f64 x)) (neg.f64 n))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 x (log.f64 x)))) n)
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n)
(-.f64 (/.f64 (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 (fma.f64 n (fma.f64 n (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (log.f64 x) n)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal -1/24 binary64))) (*.f64 (*.f64 n (*.f64 n n)) n))
(/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal -1/24 binary64) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) n)) n) (log.f64 x)) n)
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n))) (-.f64 #s(literal 0 binary64) n))) n)))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) (neg.f64 n)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) (fma.f64 n n #s(literal 0 binary64)))) n)
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))) (fma.f64 n n #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (*.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) n)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 9 binary64)))) (*.f64 (+.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)))) (+.f64 (+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))))))
(+.f64 (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (/.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))))
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
Calls

1 calls:

48.0ms
x
Results
AccuracySegmentsBranch
87.9%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes41.0ms (0.2%)

Memory
3.3MiB live, 41.7MiB allocated
Counts
69 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(*.f64 (*.f64 x (*.f64 x 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 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x))))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) x))) n)
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (fma.f64 n n #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 x n))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)))
(/.f64 (*.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) x) (*.f64 n (*.f64 x n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 x (fma.f64 (log.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (*.f64 x n)) (/.f64 x n))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))) (+.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) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) 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)))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 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)) (-.f64 #s(literal 1 binary64) (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 (exp.f64 (neg.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)))) (*.f64 x n))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))) (+.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))))
(/.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 n (fma.f64 n (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 x (log.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 x (log.f64 x)) n))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))) n)
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) n))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (+.f64 x (log.f64 x)) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 x) x) #s(literal 3 binary64))) (*.f64 n (*.f64 n n))) x) (fma.f64 (/.f64 (log.f64 x) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 x n))) (/.f64 #s(literal 1 binary64) (*.f64 n n))))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) n))
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) n))) n) (log.f64 x)) (neg.f64 n))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 x (log.f64 x)))) n)
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n)
(-.f64 (/.f64 (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 (fma.f64 n (fma.f64 n (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (log.f64 x) n)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal -1/24 binary64))) (*.f64 (*.f64 n (*.f64 n n)) n))
(/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal -1/24 binary64) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) n)) n) (log.f64 x)) n)
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n))) (-.f64 #s(literal 0 binary64) n))) n)))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) (neg.f64 n)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
Outputs
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) n))) n) (log.f64 x)) (neg.f64 n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
Calls

1 calls:

33.0ms
x
Results
AccuracySegmentsBranch
87.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes90.0ms (0.3%)

Memory
2.8MiB live, 80.7MiB allocated
Counts
60 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(*.f64 (*.f64 x (*.f64 x 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 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x))))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) x))) n)
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (fma.f64 n n #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 x n))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)))
(/.f64 (*.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) x) (*.f64 n (*.f64 x n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 x (fma.f64 (log.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (*.f64 x n)) (/.f64 x n))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))) (+.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) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) 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)))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 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)) (-.f64 #s(literal 1 binary64) (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 (exp.f64 (neg.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)))) (*.f64 x n))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))) (+.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))))
(/.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 n (fma.f64 n (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 x (log.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 x (log.f64 x)) n))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (-.f64 #s(literal 0 binary64) (log.f64 x))) n)
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (log.f64 x)))) n)
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) n))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (+.f64 x (log.f64 x)) (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 x) x) #s(literal 3 binary64))) (*.f64 n (*.f64 n n))) x) (fma.f64 (/.f64 (log.f64 x) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 x n))) (/.f64 #s(literal 1 binary64) (*.f64 n n))))
(-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) n))
Outputs
(*.f64 x (fma.f64 (log.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
Calls

3 calls:

35.0ms
x
33.0ms
n
17.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
87.7%4n
87.9%4(/.f64 #s(literal 1 binary64) n)
86.3%3x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes75.0ms (0.3%)

Memory
-18.6MiB live, 69.0MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(*.f64 (*.f64 x (*.f64 x 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 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x))))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) x))) n)
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (fma.f64 n n #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 x n))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)))
(/.f64 (*.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) x) (*.f64 n (*.f64 x n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 x (fma.f64 (log.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (*.f64 x n)) (/.f64 x n))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))) (+.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) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(fma.f64 x (fma.f64 x (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) 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)))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 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)) (-.f64 #s(literal 1 binary64) (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 (exp.f64 (neg.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)))) (*.f64 x n))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 (fma.f64 (fma.f64 n #s(literal -1/2 binary64) (*.f64 (fma.f64 n n #s(literal 0 binary64)) #s(literal 1/3 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (fma.f64 n n #s(literal 0 binary64))) (*.f64 n (fma.f64 n n #s(literal 0 binary64))))) (+.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))))
(/.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 n (fma.f64 n (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
Outputs
(*.f64 x (fma.f64 (log.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
Calls

3 calls:

42.0ms
(/.f64 #s(literal 1 binary64) n)
14.0ms
n
14.0ms
x
Results
AccuracySegmentsBranch
83.7%5n
83.7%4(/.f64 #s(literal 1 binary64) n)
84.0%2x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0%)

Memory
23.6MiB live, 23.6MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(*.f64 (*.f64 x (*.f64 x 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 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x))))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) x))) n)
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (fma.f64 n n #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 x n))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)))
(/.f64 (*.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) x) (*.f64 n (*.f64 x n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
Outputs
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 x n))))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
84.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes42.0ms (0.2%)

Memory
-16.5MiB live, 22.5MiB allocated
Counts
27 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(*.f64 (*.f64 x (*.f64 x 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 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x))))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) x))) n)
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (fma.f64 n n #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
Outputs
(*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x))))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
Calls

1 calls:

40.0ms
x
Results
AccuracySegmentsBranch
81.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0%)

Memory
19.9MiB live, 19.9MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(*.f64 (*.f64 x (*.f64 x 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 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x))))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) x))) n)
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (fma.f64 n n #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
Outputs
(*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x))))
(/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
81.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.1%)

Memory
-19.5MiB live, 19.7MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(*.f64 (*.f64 x (*.f64 x 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 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x))))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) x))) n)
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (fma.f64 n n #s(literal 0 binary64)))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
Outputs
(*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x))))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
Calls

1 calls:

24.0ms
x
Results
AccuracySegmentsBranch
81.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes103.0ms (0.4%)

Memory
-3.9MiB live, 37.9MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(*.f64 (*.f64 x (*.f64 x 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 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x))))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
(*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x))))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
#s(literal 0 binary64)
Calls

3 calls:

89.0ms
n
6.0ms
(/.f64 #s(literal 1 binary64) n)
6.0ms
x
Results
AccuracySegmentsBranch
70.1%6n
68.9%5(/.f64 #s(literal 1 binary64) n)
69.9%3x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes35.0ms (0.1%)

Memory
-2.4MiB live, 36.8MiB allocated
Counts
16 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(*.f64 (*.f64 x (*.f64 x 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 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
Outputs
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
#s(literal 0 binary64)
Calls

3 calls:

22.0ms
n
5.0ms
x
5.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
59.3%5n
58.5%5(/.f64 #s(literal 1 binary64) n)
63.8%4x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0%)

Memory
13.9MiB live, 13.9MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(*.f64 (*.f64 x (*.f64 x 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 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(/.f64 (-.f64 x (log.f64 x)) n)
Outputs
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
#s(literal 0 binary64)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
61.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Memory
-14.5MiB live, 24.8MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (fma.f64 n (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(*.f64 (*.f64 x (*.f64 x 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 (fma.f64 n (fma.f64 (*.f64 x n) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 n (*.f64 n n)))
(/.f64 (log1p.f64 x) n)
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
Outputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
Calls

3 calls:

5.0ms
(/.f64 #s(literal 1 binary64) n)
4.0ms
x
4.0ms
n
Results
AccuracySegmentsBranch
50.2%2(/.f64 #s(literal 1 binary64) n)
51.3%3n
51.6%4x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (0%)

Memory
16.0MiB live, 16.0MiB allocated
Accuracy

Total -19.8b remaining (-47.1%)

Threshold costs -19.8b (-47.1%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(*.f64 x (/.f64 #s(literal 1 binary64) n))
Outputs
#s(literal 0 binary64)
Calls

3 calls:

2.0ms
(/.f64 #s(literal 1 binary64) n)
2.0ms
x
2.0ms
n
Results
AccuracySegmentsBranch
34.3%1x
34.3%1n
34.3%1(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch110.0ms (0.4%)

Memory
8.9MiB live, 88.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
107.0ms
0.3299504519249194
225445.66901209013
Samples
81.0ms50×1valid
9.0ms26×2valid
5.0ms61×0valid
3.0ms31×0exit
2.0ms7×3valid
Compiler

Compiled 477 to 301 computations (36.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-pow: 85.0ms (90.9% of total)
ival-div: 3.0ms (3.2% of total)
adjust: 2.0ms (2.1% of total)
ival-sub: 1.0ms (1.1% of total)
ival-add: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch42.0ms (0.2%)

Memory
-12.6MiB live, 103.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
39.0ms
0.3299504519249194
225445.66901209013
Samples
13.0ms61×1valid
10.0ms30×2valid
4.0ms45×0valid
3.0ms8×3valid
2.0ms21×0exit
Compiler

Compiled 522 to 337 computations (35.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-pow: 16.0ms (66.5% of total)
ival-div: 3.0ms (12.5% of total)
adjust: 2.0ms (8.3% of total)
ival-sub: 1.0ms (4.2% of total)
ival-add: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch38.0ms (0.1%)

Memory
-4.4MiB live, 75.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
35.0ms
0.3299504519249194
225445.66901209013
Samples
12.0ms56×1valid
8.0ms26×2valid
5.0ms56×0valid
2.0ms6×3valid
1.0ms11×0exit
Compiler

Compiled 351 to 238 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-pow: 17.0ms (72.2% of total)
ival-div: 2.0ms (8.5% of total)
adjust: 2.0ms (8.5% of total)
ival-sub: 1.0ms (4.2% of total)
ival-add: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch99.0ms (0.4%)

Memory
-10.7MiB live, 154.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
49.0ms
0.3299504519249194
225445.66901209013
39.0ms
2.6095860145841965e-91
3.410189585348866e-83
Samples
41.0ms71×2valid
22.0ms110×1valid
10.0ms100×0valid
2.0ms7×3valid
1.0ms10×0exit
Compiler

Compiled 531 to 364 computations (31.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-pow: 34.0ms (70% of total)
ival-div: 4.0ms (8.2% of total)
adjust: 4.0ms (8.2% of total)
ival-add: 3.0ms (6.2% of total)
ival-sub: 3.0ms (6.2% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch37.0ms (0.1%)

Memory
7.7MiB live, 86.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
35.0ms
0.3299504519249194
225445.66901209013
Samples
14.0ms41×2valid
10.0ms55×1valid
4.0ms47×0valid
1.0ms11×0exit
0.0ms1×3valid
Compiler

Compiled 279 to 184 computations (34.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-pow: 17.0ms (70.9% of total)
adjust: 2.0ms (8.3% of total)
ival-div: 2.0ms (8.3% of total)
ival-sub: 1.0ms (4.2% of total)
ival-add: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch35.0ms (0.1%)

Memory
-1.0MiB live, 78.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
0.3299504519249194
225445.66901209013
Samples
10.0ms28×2valid
9.0ms46×1valid
6.0ms65×0valid
2.0ms5×3valid
1.0ms9×0exit
Compiler

Compiled 261 to 175 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-pow: 16.0ms (70.6% of total)
ival-div: 2.0ms (8.8% of total)
adjust: 1.0ms (4.4% of total)
ival-sub: 1.0ms (4.4% of total)
ival-add: 1.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch36.0ms (0.1%)

Memory
32.4MiB live, 71.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
0.3299504519249194
225445.66901209013
Samples
9.0ms29×2valid
9.0ms52×1valid
5.0ms11×3valid
5.0ms52×0valid
0.0ms4×0exit
Compiler

Compiled 243 to 166 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-pow: 16.0ms (69.2% of total)
adjust: 2.0ms (8.6% of total)
ival-div: 2.0ms (8.6% of total)
ival-sub: 1.0ms (4.3% of total)
ival-add: 1.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch38.0ms (0.1%)

Memory
-15.3MiB live, 65.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
36.0ms
0.3299504519249194
225445.66901209013
Samples
11.0ms35×2valid
9.0ms57×0valid
8.0ms46×1valid
2.0ms6×3valid
1.0ms11×0exit
Compiler

Compiled 261 to 184 computations (29.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-pow: 18.0ms (72.8% of total)
adjust: 2.0ms (8.1% of total)
ival-div: 2.0ms (8.1% of total)
ival-sub: 1.0ms (4% of total)
ival-add: 1.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch40.0ms (0.1%)

Memory
-8.8MiB live, 67.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
38.0ms
0.3299504519249194
225445.66901209013
Samples
16.0ms34×2valid
8.0ms48×1valid
5.0ms56×0valid
2.0ms6×3valid
1.0ms8×0exit
Compiler

Compiled 243 to 166 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-pow: 21.0ms (77% of total)
adjust: 2.0ms (7.3% of total)
ival-div: 2.0ms (7.3% of total)
ival-sub: 1.0ms (3.7% of total)
ival-add: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch78.0ms (0.3%)

Memory
18.8MiB live, 179.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
46.0ms
1.2520950954088712e+141
1.508884371601192e+145
28.0ms
4.706009926835819e-5
0.3299504519249194
Samples
38.0ms92×2valid
11.0ms60×1valid
11.0ms101×0valid
2.0ms28×0exit
1.0ms3×3valid
Compiler

Compiled 282 to 213 computations (24.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-pow: 35.0ms (70.9% of total)
ival-div: 5.0ms (10.1% of total)
adjust: 4.0ms (8.1% of total)
ival-add: 3.0ms (6.1% of total)
ival-sub: 3.0ms (6.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch114.0ms (0.4%)

Memory
-8.7MiB live, 189.6MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
43.0ms
1.2520950954088712e+141
1.508884371601192e+145
27.0ms
4.706009926835819e-5
0.3299504519249194
38.0ms
2.694388398159463e-190
5.417456605117617e-189
Samples
55.0ms125×2valid
24.0ms113×1valid
12.0ms124×0valid
2.0ms6×3valid
2.0ms19×0exit
Compiler

Compiled 383 to 280 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-pow: 51.0ms (64.1% of total)
ival-sub: 12.0ms (15.1% of total)
ival-div: 6.0ms (7.5% of total)
adjust: 5.0ms (6.3% of total)
ival-add: 4.0ms (5% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch74.0ms (0.3%)

Memory
8.9MiB live, 87.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
41.0ms
1.2520950954088712e+141
1.508884371601192e+145
29.0ms
4.706009926835819e-5
0.3299504519249194
Samples
35.0ms99×2valid
13.0ms55×1valid
8.0ms100×0valid
3.0ms32×0exit
1.0ms2×3valid
Compiler

Compiled 250 to 189 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-pow: 34.0ms (71.5% of total)
ival-div: 4.0ms (8.4% of total)
ival-add: 3.0ms (6.3% of total)
adjust: 3.0ms (6.3% of total)
ival-sub: 3.0ms (6.3% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.4200464141863705
-2.01908930208149e-6
Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify64.0ms (0.2%)

Memory
-4.6MiB live, 31.6MiB allocated
Algorithm
1×egg-herbie
Rules
482×distribute-lft-neg-in_binary64
260×neg-mul-1_binary64
238×neg-sub0_binary64
212×distribute-neg-in_binary64
194×sub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0116386
1166386
2218384
3261384
4299383
5336383
6390383
7470383
8615383
9839383
101081383
111275383
121395383
131466383
141502383
151508383
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 1500 binary64)) (/.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)) (-.f64 #s(literal 0 binary64) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
(if (<=.f64 x #s(literal 245 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
(if (<=.f64 x #s(literal 8286623314361713/18014398509481984 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) n))) n) (log.f64 x)) (neg.f64 n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
(if (<=.f64 x #s(literal 6014939493153283/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (*.f64 x (fma.f64 (log.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)))
(if (<=.f64 x #s(literal 3152519739159347/9007199254740992 binary64)) (*.f64 x (fma.f64 (log.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
(if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 x n)))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
(if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) (*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x)))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
(if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) (*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x)))) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n))))))
(if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) (*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x)))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(if (<=.f64 x #s(literal 5764607523034235/18014398509481984 binary64)) (*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x)))) (if (<=.f64 x #s(literal 200000000000000004749086471730221071481731585565736437494692997734047485908404114513635525643216658825869193826768023215158682633978016314687488 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 6822380853753841/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 5764607523034235/18014398509481984 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 11500000000000000013134688300661318524723236406615747958778871553224926517500775901913295117707555722489878072776075888241198223822151079128203264 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 5764607523034235/18014398509481984 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 279999999999999997984128266294763063891879894344894439253704336278239682864017070898398149007923250356296852282039050946874621433183060875018240 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) #s(literal 0 binary64)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
#s(literal 0 binary64)
Outputs
(if (<=.f64 x #s(literal 1500 binary64)) (/.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)) (-.f64 #s(literal 0 binary64) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
(if (<=.f64 x #s(literal 1500 binary64)) (/.f64 (+.f64 (/.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) (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
(if (<=.f64 x #s(literal 245 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
(if (<=.f64 x #s(literal 245 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
(if (<=.f64 x #s(literal 8286623314361713/18014398509481984 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) n))) n) (log.f64 x)) (neg.f64 n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
(if (<=.f64 x #s(literal 8286623314361713/18014398509481984 binary64)) (/.f64 (+.f64 (log.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
(if (<=.f64 x #s(literal 6014939493153283/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (*.f64 x (fma.f64 (log.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)))
(if (<=.f64 x #s(literal 6014939493153283/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (*.f64 x (fma.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)))
(if (<=.f64 x #s(literal 3152519739159347/9007199254740992 binary64)) (*.f64 x (fma.f64 (log.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
(if (<=.f64 x #s(literal 3152519739159347/9007199254740992 binary64)) (*.f64 x (fma.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
(if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) (*.f64 x n)))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
(if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) (*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x)))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
(if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) (*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x n)))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x))
(if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) (*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x)))) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n))))))
(if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) (*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x n)))) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n))))))
(if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) (*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x)))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(if (<=.f64 x #s(literal 5944751508129055/18014398509481984 binary64)) (*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(if (<=.f64 x #s(literal 5764607523034235/18014398509481984 binary64)) (*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 n x)))) (if (<=.f64 x #s(literal 200000000000000004749086471730221071481731585565736437494692997734047485908404114513635525643216658825869193826768023215158682633978016314687488 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 5764607523034235/18014398509481984 binary64)) (*.f64 x (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 x n)))) (if (<=.f64 x #s(literal 200000000000000004749086471730221071481731585565736437494692997734047485908404114513635525643216658825869193826768023215158682633978016314687488 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 6822380853753841/20065826040452474621738395244141115820123061381619162977212070095324448220432589806036630768881181530864650607514107580997541169167266097500334986765487216377087492641938951866881041556870737904629872328704 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 5764607523034235/18014398509481984 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 11500000000000000013134688300661318524723236406615747958778871553224926517500775901913295117707555722489878072776075888241198223822151079128203264 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 5764607523034235/18014398509481984 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 279999999999999997984128266294763063891879894344894439253704336278239682864017070898398149007923250356296852282039050946874621433183060875018240 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) #s(literal 0 binary64)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
#s(literal 0 binary64)

soundness1.8s (6.6%)

Memory
-103.2MiB live, 1 148.5MiB allocated
Rules
13 074×accelerator-lowering-fma.f32
13 074×accelerator-lowering-fma.f64
9 686×accelerator-lowering-fma.f32
9 686×accelerator-lowering-fma.f64
7 722×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056333
1368285
23670285
09680263
0831
15831
240231
3432431
0839927
0123910124
139009398
091548829
025125
1169101
21495101
0848995
04534000
113203649
238453477
082893327
06687104
119696603
255486511
081626145
02631714
17611578
221161504
374551498
087361380
057309
1467303
25353303
08664265
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node 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
Compiler

Compiled 1 338 to 749 computations (44% saved)

preprocess100.0ms (0.4%)

Memory
33.1MiB live, 145.0MiB allocated
Compiler

Compiled 810 to 244 computations (69.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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