2nthrt (problem 3.4.6)

Time bar (total: 25.7s)

analyze224.0ms (0.9%)

Memory
38.7MiB live, 355.6MiB 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)

sample13.8s (53.6%)

Memory
71.0MiB live, 16 657.9MiB allocated
Samples
8.6s4 765×5exit
1.4s2 851×2valid
1.3s2 796×1valid
378.0ms2 336×1exit
362.0ms2 591×0valid
248.0ms1 580×0exit
33.0ms103×2exit
7.0ms4×3exit
7.0ms18×3valid
2.0ms1×4exit
Precisions
Click to see histograms. Total time spent on operations: 11.1s
ival-pow: 8.8s (79.7% of total)
adjust: 943.0ms (8.5% of total)
ival-add: 496.0ms (4.5% of total)
ival-div: 491.0ms (4.4% of total)
ival-sub: 262.0ms (2.4% of total)
exact: 32.0ms (0.3% of total)
ival-true: 15.0ms (0.1% of total)
ival-assert: 8.0ms (0.1% of total)
Bogosity

preprocess51.0ms (0.2%)

Memory
-11.5MiB live, 23.9MiB allocated
Algorithm
1×egg-herbie
Rules
114×sub-neg
80×lower-fma.f64
80×lower-fma.f32
66×unsub-neg
62×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02275
14369
29367
315867
424967
536667
644367
748467
852667
954167
1054967
0813
01313
11813
22213
32813
43613
55113
68313
710913
815313
916813
1017613
017613
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

explain298.0ms (1.2%)

Memory
22.6MiB live, 382.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1311(5.487955840345235e-83 -871869.6679730879)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)))
3326(3.877114538592568e-54 7.157734827795616e-14)0-(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
10-0-(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)))cancellation1320
pow.f64(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))sensitivity590
pow.f64(pow.f64 x (/.f64 #s(literal 1 binary64) n))sensitivity10
Confusion
Predicted +Predicted -
+1490
-4364
Precision
0.7760416666666666
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+14900
-43064
Precision?
0.7760416666666666
Recall?
1.0
Freqs
test
numberfreq
064
1192
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
140.0ms190×2valid
61.0ms236×1valid
7.0ms82×0valid
2.0ms4×3valid
Compiler

Compiled 102 to 36 computations (64.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
ival-pow: 139.0ms (75.6% of total)
adjust: 22.0ms (12% of total)
ival-div: 9.0ms (4.9% of total)
ival-add: 6.0ms (3.3% of total)
ival-sub: 6.0ms (3.3% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶47.0%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify35.0ms (0.1%)

Memory
-22.5MiB live, 16.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
01334
11834
22234
32834
43634
55134
68334
710934
815334
916834
1017634
017634
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) n)
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
Outputs
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) n)
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))

localize144.0ms (0.6%)

Memory
-14.6MiB live, 75.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy87.8%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy53.6%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Samples
87.0ms118×1valid
40.0ms95×2valid
4.0ms41×0valid
1.0ms2×3valid
Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-pow: 42.0ms (69.5% of total)
adjust: 7.0ms (11.6% of total)
ival-add: 4.0ms (6.6% of total)
ival-div: 4.0ms (6.6% of total)
ival-sub: 3.0ms (5% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series98.0ms (0.4%)

Memory
3.7MiB live, 77.7MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#<alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))>
#<alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) n)>
#<alt (pow.f64 x (/.f64 #s(literal 1 binary64) 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
26.0ms
x
@inf
(pow x (/ 1 n))
25.0ms
x
@0
(pow x (/ 1 n))
21.0ms
n
@inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
18.0ms
x
@-inf
(pow x (/ 1 n))
1.0ms
x
@inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite361.0ms (1.4%)

Memory
-12.0MiB live, 491.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 822×lower-fma.f64
3 822×lower-fma.f32
3 746×lower-*.f64
3 746×lower-*.f32
3 490×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831
01331
16331
240731
3433531
0843327
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 321
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) n)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))))
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(*.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))))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

simplify469.0ms (1.8%)

Memory
-3.4MiB live, 884.3MiB allocated
Algorithm
1×egg-herbie
Rules
13 074×lower-fma.f64
13 074×lower-fma.f32
4 500×lower-*.f64
4 500×lower-*.f32
3 564×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02631714
17611578
221161504
374551498
087361380
Stop Event
1×iter limit
1×node limit
Counts
96 → 94
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))) (neg.f64 (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))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 x (fma.f64 x (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 (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 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 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n))) n) (log1p.f64 x)) 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))

eval80.0ms (0.3%)

Memory
31.6MiB live, 146.8MiB allocated
Compiler

Compiled 12 122 to 1 428 computations (88.2% saved)

prune121.0ms (0.5%)

Memory
-23.9MiB live, 211.8MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New46517482
Fresh000
Picked101
Done000
Total46617483
Accuracy
99.8%
Counts
483 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.1%
(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))))
▶38.6%
(/.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)
▶35.7%
(/.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)
42.0%
(/.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)
52.1%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
64.2%
(/.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)
▶72.8%
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
66.4%
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n))
58.9%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
25.2%
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
▶21.3%
(-.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)))
47.0%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
17.3%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
27.7%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
53.6%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶35.3%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
35.9%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
Compiler

Compiled 984 to 542 computations (44.9% saved)

simplify336.0ms (1.3%)

Memory
8.5MiB live, 676.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) n)
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(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))
✓cost-diff0
(/.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)
✓cost-diff0
(/.f64 #s(literal 1 binary64) n)
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
✓cost-diff640
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
✓cost-diff0
(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))
✓cost-diff0
(-.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)))
✓cost-diff320
(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))
✓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-diff128
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
Rules
12 046×lower-fma.f32
12 036×lower-fma.f64
3 208×lower-*.f32
3 194×lower-*.f64
2 730×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069918
0131874
1234874
2495874
31136870
42727864
57219864
08289857
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
(-.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 (log.f64 x) (log1p.f64 x))
(log.f64 x)
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)
(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))
#s(literal 1/2 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(/.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)
(*.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))))
#s(literal 1/6 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
n
(neg.f64 n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
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)))
(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))
x
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
n
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) n)
#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)
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 n n))
(*.f64 n n)
(/.f64 #s(literal 1/2 binary64) (*.f64 x n))
(*.f64 x n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
(/.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)
(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))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#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 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 n n))
(*.f64 n n)
(/.f64 #s(literal 1/2 binary64) (*.f64 x n))
(*.f64 x n)
(+.f64 (/.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 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x))
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))
#s(literal 1/6 binary64)
(*.f64 n (*.f64 n n))
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))
(/.f64 #s(literal 1/3 binary64) n)
#s(literal 1/3 binary64)
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
#s(literal -1/2 binary64)
(*.f64 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 (/.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 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64)))
#s(literal 1/24 binary64)
(pow.f64 n #s(literal 4 binary64))
#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 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal -1/4 binary64) n))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
#s(literal 11/24 binary64)
(/.f64 #s(literal -1/4 binary64) n)
#s(literal -1/4 binary64)
(/.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)
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)) (neg.f64 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 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) n) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(-.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 (-.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 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n))
(-.f64 (log.f64 x) (log1p.f64 x))
(log.f64 x)
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 (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 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) n)
(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))
(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 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)))
#s(literal 1/2 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(/.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)
(*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))
(*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
#s(literal 1/6 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
n
(neg.f64 n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
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)))
(-.f64 (fma.f64 x (fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.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)))
(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))
(fma.f64 x (fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
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))
(fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
n
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) n)
#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 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 n n))
(*.f64 n n)
(/.f64 #s(literal 1/2 binary64) (*.f64 x n))
(*.f64 x n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
(/.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)
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n 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)))) (*.f64 x x)))) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))) x)
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 (/.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))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n 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)))) (*.f64 x x)))) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
(+.f64 (-.f64 (/.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 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))))) (*.f64 x (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 n n))
(*.f64 n n)
(/.f64 #s(literal 1/2 binary64) (*.f64 x n))
(*.f64 x n)
(+.f64 (/.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 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))))) (*.f64 x (*.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 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 1/6 binary64) (*.f64 n (*.f64 n n)))
#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 1/3 binary64) n)
#s(literal 1/3 binary64)
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
#s(literal -1/2 binary64)
(*.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 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))))) (*.f64 x (*.f64 x x)))
(+.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 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))))))
(/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64)))
#s(literal 1/24 binary64)
(pow.f64 n #s(literal 4 binary64))
#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 (/.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 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal -1/4 binary64) n))
(/.f64 #s(literal 11/24 binary64) (*.f64 n n))
#s(literal 11/24 binary64)
(/.f64 #s(literal -1/4 binary64) n)
#s(literal -1/4 binary64)
(/.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)

localize560.0ms (2.2%)

Memory
-4.6MiB live, 883.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy90.4%
(/.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))
✓accuracy89.8%
(/.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)))
✓accuracy89.7%
(+.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))))
✓accuracy83.8%
(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))
✓accuracy98.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 x n))
✓accuracy95.0%
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))
✓accuracy91.3%
(*.f64 x (*.f64 n n))
✓accuracy86.9%
(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))
✓accuracy99.5%
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
✓accuracy98.1%
(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))
✓accuracy96.3%
(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))
✓accuracy63.1%
(-.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)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy41.7%
(-.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))
✓accuracy61.7%
(-.f64 (log.f64 x) (log1p.f64 x))
✓accuracy61.7%
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
✓accuracy61.7%
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
Samples
183.0ms128×1valid
105.0ms58×2valid
60.0ms44×0valid
15.0ms26×0exit
Compiler

Compiled 969 to 76 computations (92.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 301.0ms
ival-div: 72.0ms (23.9% of total)
adjust: 41.0ms (13.6% of total)
ival-pow: 37.0ms (12.3% of total)
ival-add: 34.0ms (11.3% of total)
ival-mult: 28.0ms (9.3% of total)
const: 18.0ms (6% of total)
ival-sub: 16.0ms (5.3% of total)
ival-neg: 16.0ms (5.3% of total)
ival-log1p: 15.0ms (5% of total)
ival-log: 12.0ms (4% of total)
ival-pow2: 10.0ms (3.3% of total)
exact: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series92.0ms (0.4%)

Memory
28.7MiB live, 145.6MiB allocated
Counts
25 → 504
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))>
#<alt (-.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))>
#<alt (-.f64 (log.f64 x) (log1p.f64 x))>
#<alt (log.f64 x)>
#<alt (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))>
#<alt (pow.f64 x (/.f64 #s(literal 1 binary64) n))>
#<alt (/.f64 #s(literal 1 binary64) n)>
#<alt (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))>
#<alt (-.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)))>
#<alt (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))>
#<alt (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))>
#<alt (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))>
#<alt (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)>
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#<alt (/ 1/2 (* n x))>
#<alt (/ 1/2 (* n x))>
#<alt (/ 1/24 (* (pow n 4) (pow x 3)))>
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#<alt (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 (* n (pow x 2)))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/3 (/ 1 (pow x 2)))) n))>
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))>
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))>
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))>
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))>
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))>
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))>
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))>
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))>
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))>
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))>
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))>
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))>
Calls

126 calls:

TimeVariablePointExpression
7.0ms
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)) (neg 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)) (neg n))
4.0ms
x
@0
(/ 1/2 (* x n))
3.0ms
x
@0
(/ (+ (* (pow x (/ 1 n)) (+ (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n))) (+ (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) (* x x)) (/ (+ (/ 1/24 (pow n 4)) (+ (+ (/ 11/24 (* n n)) (/ -1/4 n)) (/ -1/4 (* n (* n n))))) (* x (* x x)))))) (/ (pow x (/ 1 n)) n)) x)
3.0ms
n
@inf
(/ (+ (* (pow x (/ 1 n)) (+ (- (/ 1/2 (* x (* n n))) (/ 1/2 (* x n))) (+ (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) (* x x)) (/ (+ (/ 1/24 (pow n 4)) (+ (+ (/ 11/24 (* n n)) (/ -1/4 n)) (/ -1/4 (* n (* n n))))) (* x (* x x)))))) (/ (pow x (/ 1 n)) n)) x)

rewrite397.0ms (1.5%)

Memory
-2.3MiB live, 581.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 230×lower-*.f32
5 216×lower-*.f64
4 464×lower-/.f32
4 424×lower-/.f64
4 194×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069515
0131491
1655479
27974479
08244445
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 616
Calls
Call 1
Inputs
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
(-.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 (log.f64 x) (log1p.f64 x))
(log.f64 x)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(-.f64 (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)))
(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 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 (/.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)
(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))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(*.f64 x (*.f64 n n))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x 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 (+.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 (+.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))
Outputs
(+.f64 (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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 n (neg.f64 n)))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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)) n))
(-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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 n (neg.f64 n))))
(-.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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)) (neg.f64 n)))
(fma.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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 n (neg.f64 n)))))
(neg.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 (+.f64 x #s(literal 1 binary64)) x)) (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)) n))
(/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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)) (neg.f64 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 (+.f64 x #s(literal 1 binary64)) x)) (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 (/.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 (+.f64 x #s(literal 1 binary64)) x)) (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 #s(literal -1 binary64) (neg.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 (+.f64 x #s(literal 1 binary64)) x)) (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 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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)) 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 (+.f64 x #s(literal 1 binary64)) x)) (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 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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 (+.f64 x #s(literal 1 binary64)) x)) (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)))))
(/.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 (+.f64 x #s(literal 1 binary64)) x)) (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 (neg.f64 n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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)))) (neg.f64 n)) (*.f64 (neg.f64 n) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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 (neg.f64 n) (neg.f64 n)))
(/.f64 (*.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 (+.f64 x #s(literal 1 binary64)) x)) (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))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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 (+.f64 x #s(literal 1 binary64)) x)) (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))) (neg.f64 n)))
(/.f64 (*.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 (+.f64 x #s(literal 1 binary64)) x)) (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 (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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)) (neg.f64 n)))
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(/.f64 (-.f64 (pow.f64 (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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 n (neg.f64 n))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n)) (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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 n (neg.f64 n))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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 n (neg.f64 n))) (*.f64 (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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 n (neg.f64 n)))))))
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(*.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)))) x) (/.f64 #s(literal 1 binary64) x))

simplify483.0ms (1.9%)

Memory
10.0MiB live, 727.3MiB allocated
Algorithm
1×egg-herbie
Rules
5 990×lower-fma.f64
5 990×lower-fma.f32
4 542×lower-+.f64
4 542×lower-+.f32
4 172×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0161014570
1518314043
0817313482
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
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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(* -1 (/ (- (+ (* -1 (/ (- (* 11/24 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/4 (/ 1 (pow x 3)))) (* 1/3 (/ 1 (pow x 2)))) n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (pow x 3))) (* 1/6 (/ 1 (pow x 2)))) n)) (* 11/24 (/ 1 (pow x 3)))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/4 (/ 1 (pow x 3)))) (* 1/3 (/ 1 (pow x 2)))) n))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (pow x 3))) (+ (* 1/6 (/ 1 (pow x 2))) (* 1/24 (/ 1 (* n (pow x 3)))))) n)) (* 11/24 (/ 1 (pow x 3)))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/4 (/ 1 (pow x 3)))) (* 1/3 (/ 1 (pow x 2)))) 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))
(/ (- (+ (* 1/24 (/ 1 (pow n 4))) (+ (* 11/24 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))) (pow x 3))
(/ (- (+ (* 1/24 (/ 1 (pow n 4))) (+ (* 11/24 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))) (pow x 3))
(/ (- (+ (* 1/24 (/ 1 (pow n 4))) (+ (* 11/24 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))) (pow x 3))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/24 (* (pow n 4) x)) (/ 11/24 (* (pow n 2) x))))) (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/4 (* n x)) (/ 1/4 (* (pow n 3) x))))) (pow x 2))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/24 (* (pow n 4) x)) (/ 11/24 (* (pow n 2) x))))) (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/4 (* n x)) (/ 1/4 (* (pow n 3) x))))) (pow x 2))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/24 (* (pow n 4) x)) (/ 11/24 (* (pow n 2) x))))) (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/4 (* n x)) (/ 1/4 (* (pow n 3) x))))) (pow x 2))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/24 (* (pow n 4) x)) (/ 11/24 (* (pow n 2) x))))) (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/4 (* n x)) (/ 1/4 (* (pow n 3) x))))) (pow x 2))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/24 (* (pow n 4) x)) (/ 11/24 (* (pow n 2) x))))) (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/4 (* n x)) (/ 1/4 (* (pow n 3) x))))) (pow x 2))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/24 (* (pow n 4) x)) (/ 11/24 (* (pow n 2) x))))) (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/4 (* n x)) (/ 1/4 (* (pow n 3) x))))) (pow x 2))
(/ 1/24 (* (pow n 4) (pow x 3)))
(/ (+ (* -1/4 (/ n (pow x 3))) (* 1/24 (/ 1 (pow x 3)))) (pow n 4))
(/ (+ (* n (- (* 11/24 (/ n (pow x 3))) (* 1/4 (/ 1 (pow x 3))))) (* 1/24 (/ 1 (pow x 3)))) (pow n 4))
(/ (+ (* n (- (* n (+ (* -1/4 (/ n (pow x 3))) (* 11/24 (/ 1 (pow x 3))))) (* 1/4 (/ 1 (pow x 3))))) (* 1/24 (/ 1 (pow x 3)))) (pow n 4))
(/ -1/4 (* n (pow x 3)))
(/ (- (* 11/24 (/ 1 (* n (pow x 3)))) (* 1/4 (/ 1 (pow x 3)))) n)
(/ (- (/ 11/24 (* n (pow x 3))) (+ (/ 1/4 (* (pow n 2) (pow x 3))) (* 1/4 (/ 1 (pow x 3))))) n)
(/ (- (+ (/ 11/24 (* n (pow x 3))) (* 1/24 (/ 1 (* (pow n 3) (pow x 3))))) (+ (* 1/4 (/ 1 (* (pow n 2) (pow x 3)))) (* 1/4 (/ 1 (pow x 3))))) n)
(/ -1/4 (* n (pow x 3)))
(* -1 (/ (- (* 1/4 (/ 1 (pow x 3))) (* 11/24 (/ 1 (* n (pow x 3))))) n))
(* -1 (/ (+ (* -1 (/ (- (* 11/24 (/ 1 (pow x 3))) (* 1/4 (/ 1 (* n (pow x 3))))) n)) (* 1/4 (/ 1 (pow x 3)))) n))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ 1 (pow x 3))) (* 1/24 (/ 1 (* n (pow x 3))))) n)) (* 11/24 (/ 1 (pow x 3)))) n)) (* 1/4 (/ 1 (pow x 3)))) 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))
(/ (- (+ (* 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))
(/ (- (+ (* 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))
(/ (- (+ (* 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))
(/ (- (+ (* 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))
(/ (- (+ (* 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))
(/ (- (+ (* 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))
(/ (- (+ (* 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))
(/ (- (+ (* 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))
(/ (- (+ (* 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))
(/ (- (+ (* 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))
(/ (- (+ (* 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))
(/ 1/6 (* (pow n 3) (pow x 2)))
(/ (+ (* -1/2 (/ n (pow x 2))) (* 1/6 (/ 1 (pow x 2)))) (pow n 3))
(/ (+ (* n (- (* 1/3 (/ n (pow x 2))) (* 1/2 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 2)))) (pow n 3))
(/ (+ (* n (- (* 1/3 (/ n (pow x 2))) (* 1/2 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 2)))) (pow n 3))
(/ 1/3 (* n (pow x 2)))
(/ (- (* 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 (* n (pow x 2))))) n)
(/ (- (+ (/ 1/6 (* (pow n 2) (pow x 2))) (* 1/3 (/ 1 (pow x 2)))) (/ 1/2 (* n (pow x 2)))) n)
(/ (- (+ (/ 1/6 (* (pow n 2) (pow x 2))) (* 1/3 (/ 1 (pow x 2)))) (/ 1/2 (* n (pow x 2)))) n)
(/ 1/3 (* n (pow x 2)))
(* -1 (/ (- (* 1/2 (/ 1 (* n (pow x 2)))) (* 1/3 (/ 1 (pow x 2)))) n))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 (* n (pow x 2)))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/3 (/ 1 (pow x 2)))) n))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 (* n (pow x 2)))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/3 (/ 1 (pow x 2)))) n))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
Outputs
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
(/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) 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 (log.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) 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))))
(fma.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (neg.f64 x) (/.f64 #s(literal 1 binary64) n)) (/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) 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 (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))
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(/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))
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(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (/ 1 n)))) x)
(/.f64 (+.f64 (-.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 1/6 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 (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) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))) n))) x)) (/.f64 (log.f64 x) (*.f64 n 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)
(/.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (log.f64 x) (/.f64 (fma.f64 (neg.f64 (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 (neg.f64 (log.f64 x)) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 n n))))) (*.f64 n (*.f64 x x))) (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 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (neg.f64 (/.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 1/6 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 (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) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))) n))) x)) (/.f64 (log.f64 x) (*.f64 n n))) 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)
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(/ (- 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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(/.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))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/.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))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/.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))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/.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))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/.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))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/.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))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/.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))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/.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))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/.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))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/.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))
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) (pow x 2))
(/.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))

eval284.0ms (1.1%)

Memory
18.2MiB live, 490.4MiB allocated
Compiler

Compiled 89 389 to 4 918 computations (94.5% saved)

prune257.0ms (1%)

Memory
16.3MiB live, 408.5MiB allocated
Pruning

43 alts after pruning (42 fresh and 1 done)

PrunedKeptTotal
New1 565371 602
Fresh7512
Picked415
Done000
Total1 576431 619
Accuracy
100.0%
Counts
1 619 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.8%
(/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (neg.f64 n))
57.5%
(/.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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))) (neg.f64 n))) (neg.f64 n))
34.4%
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
47.4%
(/.f64 (fma.f64 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 (log.f64 x) (log1p.f64 x)) (neg.f64 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))))) (*.f64 n (*.f64 n n)))
7.0%
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
40.4%
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
52.1%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
57.1%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) n)) (neg.f64 n))
31.0%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
34.6%
(/.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 (+.f64 x #s(literal 1 binary64)) x)) (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 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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 (+.f64 x #s(literal 1 binary64)) x)) (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)))))
37.1%
(/.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 (+.f64 x #s(literal 1 binary64)) x)) (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 (neg.f64 n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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))))
29.0%
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 n n))) (*.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)))))
39.6%
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (*.f64 (neg.f64 n) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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 (neg.f64 n) (neg.f64 n)))
▶58.9%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
57.6%
(/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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)) (neg.f64 n))
48.4%
(/.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))
▶42.0%
(/.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))
37.1%
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
29.8%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
29.7%
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 x n))
25.2%
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
38.5%
(/.f64 (*.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 (+.f64 x #s(literal 1 binary64)) x)) (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 #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 (+.f64 x #s(literal 1 binary64)) x)) (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)))
11.2%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
▶37.4%
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))))
57.5%
(/.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 (+.f64 x #s(literal 1 binary64)) x)) (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))))
15.6%
(-.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) n (*.f64 (*.f64 n n) #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
10.9%
(-.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)) #s(literal 1 binary64))
20.6%
(-.f64 (fma.f64 x (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
25.4%
(-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶17.3%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
48.3%
(-.f64 (/.f64 x n) (/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
23.8%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
27.7%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
53.6%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓35.3%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
35.3%
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
▶27.5%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
38.6%
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))))
57.5%
(*.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 (+.f64 x #s(literal 1 binary64)) x)) (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)))
15.1%
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)))))
7.1%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
7.7%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
34.6%
(neg.f64 (/.f64 (log.f64 x) n))
Compiler

Compiled 2 701 to 1 392 computations (48.5% saved)

simplify236.0ms (0.9%)

Memory
-22.8MiB live, 268.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.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-diff128
(/.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-diff128
(/.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-diff5952
(+.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))
✓cost-diff128
(+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))
✓cost-diff320
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))
✓cost-diff320
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))
✓cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))))
✓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-diff192
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓cost-diff0
(log.f64 x)
✓cost-diff0
(log1p.f64 x)
✓cost-diff0
(-.f64 (log1p.f64 x) (log.f64 x))
✓cost-diff0
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
Rules
5 046×lower-fma.f32
5 044×lower-fma.f64
3 064×lower-*.f32
3 052×lower-*.f64
1 854×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043373
079373
1130367
2232365
3564363
41379363
52680351
65720347
08070338
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) n)
n
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))))
#s(literal 1 binary64)
(/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))))
x
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
n
(+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 n n))
(*.f64 n n)
(/.f64 #s(literal -1/2 binary64) (*.f64 x n))
#s(literal -1/2 binary64)
(*.f64 x 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 (+.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))
(/.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))
(+.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))))
(/.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))
(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)))
#s(literal 1/24 binary64)
(/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n)
(pow.f64 (log.f64 x) #s(literal 4 binary64))
(log.f64 x)
x
#s(literal 4 binary64)
n
(*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
#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)))
#s(literal -1/2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) n)
n
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))))
(/.f64 x (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))))
x
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
n
(+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.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) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))
#s(literal 1/2 binary64)
(*.f64 x (*.f64 n n))
(*.f64 n n)
(/.f64 #s(literal -1/2 binary64) (*.f64 x n))
#s(literal -1/2 binary64)
(*.f64 x 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 (fma.f64 (log.f64 x) (fma.f64 (log.f64 x) (/.f64 #s(literal -1/2 binary64) n) #s(literal -1 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))) (*.f64 n n))) n)
(+.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))
(fma.f64 (log.f64 x) (fma.f64 (log.f64 x) (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 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))) (*.f64 n n)))
(/.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))
(/.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)
(+.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))))
(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))
(/.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 (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)
(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)))
(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)))
#s(literal 1/24 binary64)
(/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n)
(pow.f64 (log.f64 x) #s(literal 4 binary64))
(log.f64 x)
x
#s(literal 4 binary64)
n
(*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
#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)))
#s(literal -1/2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)

localize296.0ms (1.2%)

Memory
16.2MiB live, 455.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
✓accuracy99.4%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓accuracy99.2%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
✓accuracy99.1%
(pow.f64 (log.f64 x) #s(literal 4 binary64))
✓accuracy99.2%
(/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))
✓accuracy98.7%
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))))
✓accuracy98.6%
(/.f64 #s(literal -1/2 binary64) (*.f64 x n))
✓accuracy92.3%
(*.f64 x (*.f64 n n))
✓accuracy100.0%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy54.0%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(log1p.f64 x)
✓accuracy100.0%
(log.f64 x)
✓accuracy99.8%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓accuracy71.0%
(-.f64 (log1p.f64 x) (log.f64 x))
Samples
139.0ms110×2valid
54.0ms57×1valid
33.0ms88×0exit
2.0ms1×3valid
Compiler

Compiled 389 to 46 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 183.0ms
ival-pow: 44.0ms (24.1% of total)
ival-div: 29.0ms (15.9% of total)
adjust: 26.0ms (14.2% of total)
ival-add: 20.0ms (11% of total)
ival-mult: 15.0ms (8.2% of total)
ival-log1p: 13.0ms (7.1% of total)
const: 11.0ms (6% of total)
ival-log: 9.0ms (4.9% of total)
ival-sub: 7.0ms (3.8% of total)
ival-pow2: 4.0ms (2.2% of total)
ival-neg: 4.0ms (2.2% of total)
exact: 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
4.0MiB live, 188.0MiB allocated
Counts
24 → 444
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)>
#<alt (-.f64 (log1p.f64 x) (log.f64 x))>
#<alt (log1p.f64 x)>
#<alt (log.f64 x)>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))>
#<alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) n)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))))>
#<alt (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))>
#<alt (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))>
#<alt (+.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))>
#<alt (/.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))>
#<alt (/.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))>
#<alt (+.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))))>
#<alt (*.f64 x (*.f64 n n))>
#<alt (/.f64 #s(literal -1/2 binary64) (*.f64 x n))>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))>
#<alt (pow.f64 (log.f64 x) #s(literal 4 binary64))>
#<alt (pow.f64 (log.f64 x) #s(literal 3 binary64))>
#<alt (pow.f64 (log.f64 x) #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))>
Outputs
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#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (/ 1 (* n x))>
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#<alt (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))>
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#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
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#<alt (/ (- (log (+ 1 x)) (log x)) n)>
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#<alt (/ (- (log (+ 1 x)) (log x)) n)>
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#<alt (* -1 (log x))>
#<alt (- x (log x))>
#<alt (- (* x (+ 1 (* -1/2 x))) (log x))>
#<alt (- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))>
#<alt (/ 1 x)>
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#<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)))>
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#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (log x)>
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#<alt (* -1 (log (/ 1 x)))>
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#<alt (* -1 (log (/ 1 x)))>
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#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
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#<alt (/ x n)>
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#<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)>
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#<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)>
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#<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)>
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#<alt (/ (log (+ 1 x)) n)>
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#<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))>
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#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
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#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
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#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
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#<alt x>
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#<alt (/ 1 n)>
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#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))>
#<alt (/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) (pow x 2))>
#<alt (/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) (pow x 2))>
#<alt (/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) (pow x 2))>
#<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)) 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 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) x)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) x)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) x)) x))>
#<alt (* 1/2 (/ (exp (/ (log x) n)) (* (pow n 2) (pow x 2))))>
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#<alt (/ (- (+ (* 1/2 (/ (log x) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (* (pow (log x) 2) (- 1 (* 1/2 (/ 1 x)))) (* (pow n 2) x))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (* (log x) (- 1 (* 1/2 (/ 1 x)))) (* n x)))))) (/ 1/2 (pow x 2))) n)>
#<alt (/ (- (+ (* 1/6 (/ (* (pow (log x) 3) (- 1 (* 1/2 (/ 1 x)))) (* (pow n 3) x))) (+ (* 1/4 (/ (pow (log x) 2) (* (pow n 3) (pow x 2)))) (+ (* 1/2 (/ (log x) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (* (pow (log x) 2) (- 1 (* 1/2 (/ 1 x)))) (* (pow n 2) x))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (* (log x) (- 1 (* 1/2 (/ 1 x)))) (* n x)))))))) (/ 1/2 (pow x 2))) n)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x)))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (log x) (- (* 1/2 (/ 1 x)) 1)) x)) (* 1/2 (/ 1 (pow x 2)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (log x) (- (* 1/2 (/ 1 x)) 1)) x)) (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (* 1/2 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 x)) 1)) x))) n)) (* 1/2 (/ 1 (pow x 2))))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (* (log x) (- (* 1/2 (/ 1 x)) 1)) x)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow (log x) 3) (- (* 1/2 (/ 1 x)) 1)) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2)))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (* 1/2 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 x)) 1)) x)))) n)) (* 1/2 (/ 1 (pow x 2))))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n))>
#<alt (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)>
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#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)>
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#<alt (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) x)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n))>
#<alt (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) x)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n))>
#<alt (* 1/2 (/ (exp (/ (log x) n)) (* (pow n 2) x)))>
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#<alt (/ (- (+ 1 (+ (* 1/6 (/ (* (pow (log x) 3) (- 1 (* 1/2 (/ 1 x)))) (pow n 3))) (+ (* 1/4 (/ (pow (log x) 2) (* (pow n 3) x))) (+ (* 1/2 (/ (log x) (* (pow n 2) x))) (+ (* 1/2 (/ (* (pow (log x) 2) (- 1 (* 1/2 (/ 1 x)))) (pow n 2))) (+ (/ 1/2 (* n x)) (/ (* (log x) (- 1 (* 1/2 (/ 1 x)))) n))))))) (* 1/2 (/ 1 x))) n)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) 1) n))>
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#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (* (log x) (- (* 1/2 (/ 1 x)) 1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (pow (log x) 3) (- (* 1/2 (/ 1 x)) 1))) (* 1/4 (/ (pow (log x) 2) x))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (* (pow (log x) 2) (- (* 1/2 (/ 1 x)) 1))))) n)) (* 1/2 (/ 1 x)))) n)) (* 1/2 (/ 1 x))) 1) n))>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)>
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#<alt (/ (+ (* -1/2 (/ n x)) (* 1/2 (/ 1 x))) (pow n 2))>
#<alt (/ (+ (* -1/2 (/ n x)) (* 1/2 (/ 1 x))) (pow n 2))>
#<alt (/ (+ (* -1/2 (/ n x)) (* 1/2 (/ 1 x))) (pow n 2))>
#<alt (/ -1/2 (* n x))>
#<alt (/ (- (* 1/2 (/ 1 (* n x))) (* 1/2 (/ 1 x))) n)>
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#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (* n x)))) n))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (* n x)))) n))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (* n x)))) n))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<alt (/ (+ (* n (- 1 (* 1/2 (/ 1 x)))) (* 1/2 (/ 1 x))) (pow n 2))>
#<alt (/ (+ (* n (- 1 (* 1/2 (/ 1 x)))) (* 1/2 (/ 1 x))) (pow n 2))>
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#<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

111 calls:

TimeVariablePointExpression
51.0ms
n
@0
(/ (- (log (+ 1 x)) (log x)) n)
12.0ms
n
@inf
(/ (- (log (+ 1 x)) (log x)) n)
4.0ms
x
@0
(/ (- (log (+ 1 x)) (log x)) n)
3.0ms
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))
3.0ms
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))

rewrite572.0ms (2.2%)

Memory
-208.4MiB live, 623.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 960×lower-/.f32
3 940×lower-/.f64
3 430×lower-*.f32
3 418×lower-*.f64
2 642×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043268
079268
1322256
23013256
08194250
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 778
Calls
Call 1
Inputs
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
(log.f64 x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) n)
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))
(+.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) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))
(+.f64 (/.f64 (+.f64 (/.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))
(/.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 (/.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))
(+.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))))
(*.f64 x (*.f64 n n))
(/.f64 #s(literal -1/2 binary64) (*.f64 x n))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))
(pow.f64 (log.f64 x) #s(literal 4 binary64))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(fma.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) n) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (log1p.f64 x) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.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))) (log1p.f64 x) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (log1p.f64 x) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n) (neg.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (neg.f64 n))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (neg.f64 n)))
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) n))
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64)) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)))
(/.f64 (neg.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n)
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 n (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (neg.f64 (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) n)
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (neg.f64 n))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64)) n)
(/.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) (log.f64 x)) n)
(/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) (neg.f64 n))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)) (neg.f64 (log.f64 x))) (neg.f64 n))
(/.f64 (-.f64 (log1p.f64 x) (*.f64 (log.f64 x) #s(literal 1 binary64))) n)
(/.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))) n)
(/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (*.f64 (log.f64 x) #s(literal -1 binary64))) (neg.f64 n))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64))) (neg.f64 n))
(/.f64 (neg.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x)))) (neg.f64 (*.f64 n n)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (neg.f64 n))))
(/.f64 (neg.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) n)))
(/.f64 (neg.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64))) (neg.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))) (neg.f64 n))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) (neg.f64 n))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64))) n)
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n))) (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64))) (neg.f64 n))
(pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal -1 binary64) n))
(*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 n (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x))
(-.f64 (log1p.f64 x) (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (*.f64 x (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (*.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (fma.f64 x x (neg.f64 x))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(-.f64 (log.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))) (log.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 x))
(neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))))
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(pow.f64 (/.f64 (*.f64 (*.f64 x n) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 n (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 n))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 n #s(literal -1/2 binary64)) #s(literal -1 binary64)))
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(/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x n)) (neg.f64 n))
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(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) n)) (neg.f64 n))
(pow.f64 (*.f64 (*.f64 x (*.f64 n n)) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 n n)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 n n) (/.f64 #s(literal 1/2 binary64) 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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(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
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(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)))))
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(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 x))
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simplify871.0ms (3.4%)

Memory
-7.8MiB live, 434.0MiB allocated
Algorithm
1×egg-herbie
Rules
8 824×lower-fma.f64
8 824×lower-fma.f32
5 106×lower-*.f64
5 106×lower-*.f32
4 888×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06407524
118267090
250597059
087656713
Stop Event
1×iter limit
1×node limit
Counts
444 → 441
Calls
Call 1
Inputs
(* -1 (/ (log x) n))
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(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(/ 1 (* n x))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/ 1 (* n x))
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(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
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x
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(+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) n)) (* -1/2 (pow (log x) 2)))
(+ (* -1 (/ (+ (* -1/6 (pow (log (/ 1 x)) 3)) (* 1/24 (/ (pow (log (/ 1 x)) 4) n))) n)) (* -1/2 (pow (log (/ 1 x)) 2)))
(+ (* -1 (/ (+ (* -1/6 (pow (log (/ 1 x)) 3)) (* 1/24 (/ (pow (log (/ 1 x)) 4) n))) n)) (* -1/2 (pow (log (/ 1 x)) 2)))
(+ (* -1 (/ (+ (* -1/6 (pow (log (/ 1 x)) 3)) (* 1/24 (/ (pow (log (/ 1 x)) 4) n))) n)) (* -1/2 (pow (log (/ 1 x)) 2)))
(+ (* -1 (/ (+ (* -1/6 (pow (log (/ 1 x)) 3)) (* 1/24 (/ (pow (log (/ 1 x)) 4) n))) n)) (* -1/2 (pow (log (/ 1 x)) 2)))
(+ (* -1 (/ (+ (* 1/24 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4) n)) (* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) n)) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))
(+ (* -1 (/ (+ (* 1/24 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4) n)) (* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) n)) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))
(+ (* -1 (/ (+ (* 1/24 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4) n)) (* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) n)) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))
(+ (* -1 (/ (+ (* 1/24 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4) n)) (* 1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))) n)) (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))
(* -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))
(/ (+ (* -1/24 (pow (log x) 4)) (* n (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))))) (pow n 2))
(/ (+ (* -1/24 (pow (log x) 4)) (* n (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))))) (pow n 2))
(* -1/2 (pow (log x) 2))
(+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))
(+ (* -1/2 (pow (log x) 2)) (+ (* -1/6 (/ (pow (log x) 3) n)) (* -1/24 (/ (pow (log x) 4) (pow n 2)))))
(+ (* -1/2 (pow (log x) 2)) (+ (* -1/6 (/ (pow (log x) 3) n)) (* -1/24 (/ (pow (log x) 4) (pow n 2)))))
(* -1/2 (pow (log x) 2))
(+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))
(+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) n)) (* -1/2 (pow (log x) 2)))
(+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) n)) (* -1/2 (pow (log x) 2)))
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ -1/2 (* n x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(/ 1/2 (* (pow n 2) x))
(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 (/ (log x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(-.f64 (fma.f64 x (/.f64 (*.f64 x #s(literal -1/2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(-.f64 (fma.f64 (fma.f64 x (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x) (/.f64 x n)) (/.f64 (log.f64 x) n))
(/ 1 (* n x))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (*.f64 x n)))))) x)
(/ 1 (* n x))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/3 binary64) (*.f64 x n)))) x) (/.f64 #s(literal 1 binary64) n)) x)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(* -1 (log x))
(neg.f64 (log.f64 x))
(- x (log x))
(-.f64 x (log.f64 x))
(- (* x (+ 1 (* -1/2 x))) (log x))
(-.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (log.f64 x))
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (log.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x))
x
(* x (+ 1 (* -1/2 x)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (log.f64 (neg.f64 x)))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x) (neg.f64 (log.f64 (neg.f64 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 (neg.f64 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x))))
(/ x n)
(/.f64 x n)
(* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 x n))
(* 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 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(* 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)))
(fma.f64 (*.f64 x 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))) (fma.f64 x (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(- (exp (* -1 (/ (log (/ 1 x)) n))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) 1)
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) #s(literal -1 binary64)))
(- (+ (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)
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x x)) #s(literal -1 binary64))))
(- (+ (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)
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(- (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1)
(expm1.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n))
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(/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))
(/ 1/2 (* (pow n 2) x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))
(pow (log x) 4)
(pow.f64 (log.f64 x) #s(literal 4 binary64))
(pow (log x) 4)
(pow.f64 (log.f64 x) #s(literal 4 binary64))
(pow (log x) 4)
(pow.f64 (log.f64 x) #s(literal 4 binary64))
(pow (log x) 4)
(pow.f64 (log.f64 x) #s(literal 4 binary64))
(pow (log (/ 1 x)) 4)
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 4 binary64))
(pow (log (/ 1 x)) 4)
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 4 binary64))
(pow (log (/ 1 x)) 4)
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 4 binary64))
(pow (log (/ 1 x)) 4)
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 4 binary64))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 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 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)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(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 (neg.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 (neg.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 (neg.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 (neg.f64 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))
(neg.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(* -1/6 (pow (log (/ 1 x)) 3))
(neg.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(* -1/6 (pow (log (/ 1 x)) 3))
(neg.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(* -1/6 (pow (log (/ 1 x)) 3))
(neg.f64 (*.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)) (neg.f64 (log.f64 (neg.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)) (neg.f64 (log.f64 (neg.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)) (neg.f64 (log.f64 (neg.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)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)))

eval287.0ms (1.1%)

Memory
46.0MiB live, 225.0MiB allocated
Compiler

Compiled 44 346 to 4 416 computations (90% saved)

prune408.0ms (1.6%)

Memory
-27.7MiB live, 292.1MiB allocated
Pruning

41 alts after pruning (39 fresh and 2 done)

PrunedKeptTotal
New1 333241 357
Fresh221537
Picked415
Done011
Total1 359411 400
Accuracy
100.0%
Counts
1 400 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
39.8%
(/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (neg.f64 n))
▶7.0%
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
▶52.1%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
31.1%
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
45.8%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
31.0%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
31.0%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
41.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
48.7%
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
48.4%
(/.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)) (neg.f64 n))
34.8%
(/.f64 (-.f64 x (log.f64 x)) n)
24.7%
(/.f64 (+.f64 (/.f64 (fma.f64 n (fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (*.f64 n (*.f64 n n))) (log.f64 x)) (neg.f64 n))
37.5%
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x)
29.8%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
25.2%
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
43.9%
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
43.3%
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
11.2%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
34.6%
(/.f64 (neg.f64 (log.f64 x)) n)
59.0%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
4.9%
(/.f64 x n)
35.4%
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (+.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) x))))
52.2%
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n))))
59.0%
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
39.8%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
20.6%
(-.f64 (fma.f64 x (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
25.4%
(-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓17.3%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
27.7%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
53.6%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓35.3%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶35.3%
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
▶59.1%
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
43.9%
(*.f64 (pow.f64 (/.f64 n (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
38.5%
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x))
59.0%
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
15.1%
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)))))
7.1%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
7.7%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
▶27.5%
#s(literal 0 binary64)
Compiler

Compiled 1 436 to 875 computations (39.1% saved)

simplify387.0ms (1.5%)

Memory
-2.2MiB live, 240.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 x)
✓cost-diff0
(/.f64 (log.f64 x) n)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
✓cost-diff6336
(exp.f64 (/.f64 (log.f64 x) n))
✓cost-diff0
(*.f64 x n)
✓cost-diff0
(/.f64 #s(literal 1 binary64) n)
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓cost-diff128
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
✓cost-diff0
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
✓cost-diff0
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓cost-diff0
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
✓cost-diff640
(fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
✓cost-diff0
(/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
✓cost-diff128
(*.f64 x (+.f64 x #s(literal 1 binary64)))
✓cost-diff704
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
✓cost-diff6464
(pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
Rules
4 074×lower-fma.f32
4 068×lower-fma.f64
2 936×lower-*.f32
2 922×lower-*.f64
1 300×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037227
069227
1111225
2171223
3322219
4618217
51333217
62784217
74056217
84988217
95796217
106532217
117170217
08079207
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
n
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
(log1p.f64 x)
x
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(log.f64 x)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 0 binary64)
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
n
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
x
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
(*.f64 n n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
(*.f64 x n)
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
#s(literal 1 binary64)
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
Outputs
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)
(/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
n
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
(log1p.f64 x)
x
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(log.f64 x)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))
(log.f64 (fma.f64 x x x))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x x)
(+.f64 x #s(literal 1 binary64))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 0 binary64)
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))
(fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n))
n
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
x
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 x x)
(*.f64 n n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
(*.f64 x n)
(*.f64 n x)
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(literal 1 binary64)
(exp.f64 (/.f64 (log.f64 x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n

localize223.0ms (0.9%)

Memory
17.0MiB live, 444.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log.f64 x)
✓accuracy99.9%
(exp.f64 (/.f64 (log.f64 x) n))
✓accuracy99.7%
(/.f64 (log.f64 x) n)
✓accuracy41.7%
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(*.f64 x n)
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy93.6%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓accuracy100.0%
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
✓accuracy93.3%
(fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
✓accuracy72.6%
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
✓accuracy99.1%
(pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
✓accuracy98.8%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
✓accuracy81.1%
(log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))
✓accuracy61.7%
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
Samples
72.0ms41×2valid
56.0ms154×0valid
43.0ms61×1valid
Compiler

Compiled 258 to 43 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-log: 42.0ms (29.7% of total)
ival-pow: 29.0ms (20.5% of total)
ival-mult: 19.0ms (13.4% of total)
ival-div: 13.0ms (9.2% of total)
adjust: 11.0ms (7.8% of total)
ival-log1p: 8.0ms (5.7% of total)
ival-add: 6.0ms (4.2% of total)
ival-exp: 3.0ms (2.1% of total)
ival-pow2: 3.0ms (2.1% of total)
ival-expm1: 3.0ms (2.1% of total)
ival-sub: 2.0ms (1.4% of total)
ival-neg: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series137.0ms (0.5%)

Memory
14.8MiB live, 268.0MiB allocated
Counts
20 → 372
Calls
Call 1
Inputs
#<alt (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))>
#<alt (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 x #s(literal 1 binary64)))>
#<alt (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))>
#<alt (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))>
#<alt (/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))>
#<alt (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))>
#<alt (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))>
#<alt (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))>
#<alt (pow.f64 x (/.f64 #s(literal 1 binary64) n))>
#<alt (/.f64 #s(literal 1 binary64) n)>
#<alt (*.f64 x n)>
#<alt (exp.f64 (/.f64 (log.f64 x) n))>
#<alt (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))>
#<alt (/.f64 (log.f64 x) n)>
#<alt (log.f64 x)>
#<alt (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))>
#<alt (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))>
#<alt (pow.f64 (log.f64 x) #s(literal 3 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 x x))>
Outputs
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)>
#<alt (* -1 (/ (pow (log x) 3) n))>
#<alt (+ (* -1 (/ (pow (log x) 3) n)) (/ (pow x 3) n))>
#<alt (+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* -3/2 (/ x n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* x (- (* 7/4 (/ x n)) (* 3/2 (/ 1 n)))) (/ 1 n))))>
#<alt (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (* n x))>
#<alt (/ (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (/ (pow (log (/ 1 x)) 2) n))))) x)>
#<alt (/ (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (pow x 2)))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (pow x 2)))) (+ (* 2 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (+ (/ 1 (* n (pow x 2))) (/ (pow (log (/ 1 x)) 2) n))))))))) x)>
#<alt (/ (- (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -4/3 (/ (log (/ 1 x)) (* n (pow x 3)))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (* n (pow x 3)))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (pow x 2)))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (pow x 3)))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (* n (pow x 3)))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (pow x 2)))) (+ (* 2 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (+ (/ 1 (* n (pow x 2))) (/ (pow (log (/ 1 x)) 2) n))))))))))))) (/ 1 (* n (pow x 3)))) x)>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* n x)))>
#<alt (* -1 (/ (+ (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* -1 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))) x)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)))) x))>
#<alt (* -1 (/ (+ (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x)) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n)))) x)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)))) x))>
#<alt (* -1 (/ (+ (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n)))))) x)) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n)))) x)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)))) x))>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))>
#<alt (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))>
#<alt (* -1 (/ (log x) n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* x (- (* 1/2 (/ 1 (* n (log x)))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))) (log x))) (* -1 (/ (- (* 1/3 (log x)) 1) (* n (log x))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))>
#<alt (/ 1 (* n x))>
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#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (* -1 (/ (log x) n))>
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (* -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)>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (- (* 1/2 (/ (pow (log x) 2) n)) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))>
#<alt (* -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))>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<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 (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 (log x)>
#<alt (+ x (log x))>
#<alt (+ (log x) (* x (+ 1 (* -1/2 x))))>
#<alt (+ (log x) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))>
#<alt (* -2 (log (/ 1 x)))>
#<alt (+ (* -2 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -2 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (* -2 (log (/ -1 x)))>
#<alt (+ (* -2 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) 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 (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
Calls

93 calls:

TimeVariablePointExpression
44.0ms
n
@0
(/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
29.0ms
n
@0
(* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (/ 1 (+ (* (log x) (log (* x (+ x 1)))) (pow (log (+ 1 x)) 2))))
8.0ms
x
@-inf
(/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
6.0ms
x
@-inf
(pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1)
5.0ms
x
@-inf
(* (pow (/ n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) -1) (/ 1 (+ (* (log x) (log (* x (+ x 1)))) (pow (log (+ 1 x)) 2))))

rewrite643.0ms (2.5%)

Memory
7.8MiB live, 519.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 158×lower-/.f32
4 146×lower-/.f64
4 054×lower-fma.f32
4 048×lower-fma.f64
3 786×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036160
068156
1265152
21775139
08143138
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 699
Calls
Call 1
Inputs
(pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(*.f64 x n)
(exp.f64 (/.f64 (log.f64 x) n))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (log.f64 x) n)
(log.f64 x)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
Outputs
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 n)))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64)))) n) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64)))) n))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (*.f64 n (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 9 binary64)) (*.f64 n (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (*.f64 n (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (*.f64 n (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64)))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 n))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (*.f64 n (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (*.f64 n (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64)))) (neg.f64 (*.f64 n (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (neg.f64 (*.f64 n (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) n)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (*.f64 n (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n n))
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simplify575.0ms (2.2%)

Memory
-16.7MiB live, 490.1MiB allocated
Algorithm
1×egg-herbie
Rules
8 812×lower-fma.f64
8 812×lower-fma.f32
5 874×lower-+.f64
5 874×lower-+.f32
5 598×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086510295
129408936
081198469
Stop Event
1×iter limit
1×node limit
Counts
372 → 370
Calls
Call 1
Inputs
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)
(* -1 (/ (pow (log x) 3) n))
(+ (* -1 (/ (pow (log x) 3) n)) (/ (pow x 3) n))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* -3/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* x (- (* 7/4 (/ x n)) (* 3/2 (/ 1 n)))) (/ 1 n))))
(/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (* n x))
(/ (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (/ (pow (log (/ 1 x)) 2) n))))) x)
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(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))
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(/ 1 (* n x))
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(+ (* -2 (log (/ -1 x))) (/ 1 x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) 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)
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
Outputs
(/ (- (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))) n)
(/ (- (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))) n)
(/ (- (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))) n)
(/ (- (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))) n)
(/ (- (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))) n)
(/ (- (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))) n)
(/ (- (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))) n)
(/ (- (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))) n)
(/ (- (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))) n)
(/ (- (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))) n)
(/ (- (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))) n)
(/ (- (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))) n)
(* -1 (/ (pow (log x) 3) n))
(/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (neg.f64 n))
(+ (* -1 (/ (pow (log x) 3) n)) (/ (pow x 3) n))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* -3/2 (/ x n)) (/ 1 n))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal -3/2 binary64) (/.f64 x n) (/.f64 #s(literal 1 binary64) n)) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (neg.f64 n)))
(+ (* -1 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* x (- (* 7/4 (/ x n)) (* 3/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (fma.f64 (/.f64 x n) #s(literal 7/4 binary64) (/.f64 #s(literal -3/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (neg.f64 n)))
(/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (* n x))
(/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 x n))
(/ (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (/ (pow (log (/ 1 x)) 2) n))))) x)
(/.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 x) (*.f64 x n))) (fma.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 x n)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 x n))))) x)
(/ (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (pow x 2)))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (pow x 2)))) (+ (* 2 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (+ (/ 1 (* n (pow x 2))) (/ (pow (log (/ 1 x)) 2) n))))))))) x)
(/.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 x) (*.f64 x n))) (fma.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 x n)) (fma.f64 (log.f64 x) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2/3 binary64) #s(literal -1 binary64)) (*.f64 n (*.f64 x x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x n)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n (*.f64 x x))) (fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n (*.f64 x x))) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x)))))))))) x)
(/ (- (+ (* -2 (/ (log (/ 1 x)) (* n x))) (+ (* -4/3 (/ (log (/ 1 x)) (* n (pow x 3)))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (* n (pow x 3)))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n x))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (pow x 2)))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (pow x 3)))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n x))) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (* n (pow x 3)))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (pow x 2)))) (+ (* 2 (/ (log (/ 1 x)) (* n (pow x 2)))) (+ (* 2 (/ (pow (log (/ 1 x)) 2) n)) (+ (/ 1 (* n (pow x 2))) (/ (pow (log (/ 1 x)) 2) n))))))))))))) (/ 1 (* n (pow x 3)))) x)
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 x) (*.f64 x n))) (fma.f64 #s(literal -4/3 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n (*.f64 x (*.f64 x x)))) (fma.f64 (log.f64 x) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (*.f64 n (*.f64 x (*.f64 x x)))) (fma.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 x n)) (fma.f64 (log.f64 x) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2/3 binary64) #s(literal -1 binary64)) (*.f64 n (*.f64 x x))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 n (*.f64 x (*.f64 x x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x n))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n (*.f64 x x))) (fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n (*.f64 x x))) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x))))))))))))) (/.f64 #s(literal -1 binary64) (*.f64 n (*.f64 x (*.f64 x x))))) x)
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* n x)))
(/.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)) (neg.f64 (*.f64 x n)))
(* -1 (/ (+ (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* -1 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))) x)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)))) x))
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) n) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) n) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) (+.f64 #s(literal 3 binary64) (neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) x)) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) n)) (neg.f64 x))
(* -1 (/ (+ (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x)) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n)))) x)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)))) x))
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) n) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) n) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) (+.f64 #s(literal 3 binary64) (neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) n) #s(literal -1/3 binary64) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) (/.f64 (log.f64 #s(literal -1 binary64)) n))) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) n)) x)) x)) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) n)) (neg.f64 x))
(* -1 (/ (+ (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n)))))) x)) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n)))) x)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)))) x))
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) n) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) n) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) (+.f64 #s(literal 3 binary64) (neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (/.f64 (-.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) n) #s(literal -1/3 binary64) (fma.f64 (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) (/.f64 (log.f64 #s(literal -1 binary64)) n))) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) n) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) n) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) (+.f64 #s(literal 19/12 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) n)) x)) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) n)) x)) x)) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) n)) (neg.f64 x))
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (* n (+ (* (log x) (log (* x (+ 1 x)))) (pow (log (+ 1 x)) 2))))
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(/ (+ (* -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)
(/.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 x) x)) (fma.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x) (fma.f64 (log.f64 x) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2/3 binary64) #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))))))) x)
(/ (- (+ (* -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)
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 x) x)) (fma.f64 #s(literal -4/3 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x (*.f64 x x))) (fma.f64 (log.f64 x) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64) #s(literal 11/12 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x) (fma.f64 (log.f64 x) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2/3 binary64) #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))))))))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) x)
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))
(/.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)) (neg.f64 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))
(/.f64 (fma.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 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 3 binary64) (neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (neg.f64 x))) (neg.f64 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))
(/.f64 (fma.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 (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 3 binary64) (neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (/.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x)) (neg.f64 x))) (neg.f64 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))
(neg.f64 (/.f64 (fma.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 (-.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 3 binary64) (neg.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (-.f64 (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) #s(literal -1/3 binary64))) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 19/12 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))) x)) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) (neg.f64 x))) x))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 x (log.f64 x))
(+ (log x) (* x (+ 1 (* -1/2 x))))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(+ (log x) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))
(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))
(* -2 (log (/ 1 x)))
(neg.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(+ (* -2 (log (/ 1 x))) (/ 1 x))
(fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -2 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(* -2 (log (/ -1 x)))
(*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -2 (log (/ -1 x))) (/ 1 x))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))
(-.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) x))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))

eval191.0ms (0.7%)

Memory
26.7MiB live, 181.4MiB allocated
Compiler

Compiled 34 682 to 3 203 computations (90.8% saved)

prune173.0ms (0.7%)

Memory
3.3MiB live, 360.0MiB allocated
Pruning

46 alts after pruning (42 fresh and 4 done)

PrunedKeptTotal
New1 089121 101
Fresh43034
Picked325
Done022
Total1 096461 142
Accuracy
100.0%
Counts
1 142 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
39.8%
(/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (neg.f64 n))
6.8%
(/.f64 (fma.f64 n (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
✓52.1%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
53.4%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
31.1%
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
45.8%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
31.0%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
31.0%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
41.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
5.9%
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (neg.f64 n))
48.7%
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
48.4%
(/.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)) (neg.f64 n))
34.8%
(/.f64 (-.f64 x (log.f64 x)) n)
24.7%
(/.f64 (+.f64 (/.f64 (fma.f64 n (fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (*.f64 n (*.f64 n n))) (log.f64 x)) (neg.f64 n))
37.5%
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x)
29.8%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
5.6%
(/.f64 (*.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
25.2%
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
43.9%
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
6.0%
(/.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 n x))) (*.f64 n n))
11.2%
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n))
43.3%
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
7.1%
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))
8.4%
(/.f64 (*.f64 x n) (*.f64 n n))
34.6%
(/.f64 (neg.f64 (log.f64 x)) n)
59.0%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
4.9%
(/.f64 x n)
35.4%
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (+.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) x))))
59.0%
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
39.8%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
20.6%
(-.f64 (fma.f64 x (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
25.4%
(-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓17.3%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
27.7%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
53.6%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓35.3%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
35.3%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
43.9%
(*.f64 (pow.f64 (/.f64 n (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
49.6%
(*.f64 (pow.f64 (/.f64 n (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
59.0%
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
43.9%
(*.f64 (*.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
15.1%
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)))))
7.1%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
8.7%
(*.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)))
✓27.5%
#s(literal 0 binary64)
Compiler

Compiled 3 127 to 920 computations (70.6% saved)

regimes105.0ms (0.4%)

Memory
-5.9MiB live, 157.6MiB allocated
Counts
91 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (*.f64 x n) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 n x))) (*.f64 n n))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (neg.f64 n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 x n))
(/.f64 (fma.f64 n (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(-.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 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 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n)) n)) (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)))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) n (*.f64 (*.f64 n n) #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (+.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) x))))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(/.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 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)))))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (neg.f64 n))
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.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)
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 n (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 n n))) (*.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (-.f64 (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)) (neg.f64 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 (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)
(-.f64 (/.f64 x n) (/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) 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)
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(*.f64 (pow.f64 (/.f64 n (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (/.f64 (fma.f64 n (fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (*.f64 n (*.f64 n n))) (log.f64 x)) (neg.f64 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 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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)) (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 (+.f64 x #s(literal 1 binary64)) x)) (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 (+.f64 x #s(literal 1 binary64)) x)) (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)))) (neg.f64 n)) (*.f64 (neg.f64 n) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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 (neg.f64 n) (neg.f64 n)))
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(*.f64 (*.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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))) (neg.f64 n))) (neg.f64 n))
(/.f64 (fma.f64 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 (log.f64 x) (log1p.f64 x)) (neg.f64 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))))) (*.f64 n (*.f64 n n)))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) n)) (neg.f64 n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n))
(/.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 (+.f64 x #s(literal 1 binary64)) x)) (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 (neg.f64 n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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 (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 (+.f64 x #s(literal 1 binary64)) x)) (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 #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 (+.f64 x #s(literal 1 binary64)) x)) (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 (+.f64 x #s(literal 1 binary64)) x)) (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 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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 (+.f64 x #s(literal 1 binary64)) x)) (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 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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)) (neg.f64 n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
Calls

4 calls:

29.0ms
x
25.0ms
(/.f64 #s(literal 1 binary64) n)
25.0ms
n
20.0ms
(-.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
89.0%2x
84.2%3n
83.4%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
84.6%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes26.0ms (0.1%)

Memory
10.5MiB live, 48.2MiB allocated
Counts
77 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (*.f64 x n) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 n x))) (*.f64 n n))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (neg.f64 n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 x n))
(/.f64 (fma.f64 n (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(-.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 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 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n)) n)) (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)))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) n (*.f64 (*.f64 n n) #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (+.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) x))))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(/.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 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)))))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (neg.f64 n))
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.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)
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 n (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 n n))) (*.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (-.f64 (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)) (neg.f64 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 (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)
(-.f64 (/.f64 x n) (/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) 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)
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(*.f64 (pow.f64 (/.f64 n (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (/.f64 (fma.f64 n (fma.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (*.f64 n (*.f64 n n))) (log.f64 x)) (neg.f64 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 x n) (/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
Calls

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
87.9%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes25.0ms (0.1%)

Memory
-24.8MiB live, 52.0MiB allocated
Counts
71 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (*.f64 x n) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 n x))) (*.f64 n n))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (neg.f64 n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 x n))
(/.f64 (fma.f64 n (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(-.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 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 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n)) n)) (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)))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) n (*.f64 (*.f64 n n) #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (+.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) x))))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(/.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 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)))))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (neg.f64 n))
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.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)
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 n (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 n n))) (*.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (-.f64 (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)) (neg.f64 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 (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)
Outputs
(/.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)) (neg.f64 n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
Calls

1 calls:

21.0ms
x
Results
AccuracySegmentsBranch
87.9%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes43.0ms (0.2%)

Memory
-1.5MiB live, 80.0MiB allocated
Counts
68 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (*.f64 x n) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 n x))) (*.f64 n n))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (neg.f64 n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 x n))
(/.f64 (fma.f64 n (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(-.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 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 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n)) n)) (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)))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) n (*.f64 (*.f64 n n) #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (+.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) x))))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(/.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 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)))))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (neg.f64 n))
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.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)
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 n (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (*.f64 n n))) (*.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)))))
Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

2 calls:

20.0ms
x
18.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.5%3(/.f64 #s(literal 1 binary64) n)
79.7%2x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes51.0ms (0.2%)

Memory
32.1MiB live, 109.3MiB 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 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (*.f64 x n) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 n x))) (*.f64 n n))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (neg.f64 n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 x n))
(/.f64 (fma.f64 n (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(-.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 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 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n)) n)) (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)))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 #s(literal 1/2 binary64) n (*.f64 (*.f64 n n) #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (+.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) x))))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(/.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 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)))))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n))
Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

3 calls:

17.0ms
n
16.0ms
(/.f64 #s(literal 1 binary64) n)
14.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
80.2%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)))
81.4%4n
81.4%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes28.0ms (0.1%)

Memory
-22.1MiB live, 58.5MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (*.f64 x n) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 n x))) (*.f64 n n))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (neg.f64 n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 x n))
(/.f64 (fma.f64 n (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(-.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 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 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (fma.f64 x (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

2 calls:

13.0ms
(/.f64 #s(literal 1 binary64) n)
13.0ms
x
Results
AccuracySegmentsBranch
75.0%2x
80.7%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes36.0ms (0.1%)

Memory
-0.8MiB live, 76.9MiB allocated
Counts
41 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (*.f64 x n) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 n x))) (*.f64 n n))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (neg.f64 n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 x n))
(/.f64 (fma.f64 n (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(-.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 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 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n))))
Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
Calls

3 calls:

12.0ms
n
11.0ms
(/.f64 #s(literal 1 binary64) n)
10.0ms
(-.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
81.0%5n
76.3%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
81.0%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes13.0ms (0%)

Memory
29.3MiB live, 29.3MiB allocated
Counts
38 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (*.f64 x n) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 n x))) (*.f64 n n))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (neg.f64 n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 x n))
(/.f64 (fma.f64 n (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(-.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 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 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
Outputs
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
Calls

1 calls:

11.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
80.9%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes14.0ms (0.1%)

Memory
-12.8MiB live, 28.1MiB allocated
Counts
35 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (*.f64 x n) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 n x))) (*.f64 n n))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (neg.f64 n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 x n))
(/.f64 (fma.f64 n (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(-.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 1 binary64) n)) (*.f64 x n))
Outputs
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
Calls

1 calls:

12.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
80.8%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes41.0ms (0.2%)

Memory
8.8MiB live, 86.6MiB allocated
Counts
34 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (*.f64 x n) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 n x))) (*.f64 n n))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (neg.f64 n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 x n))
(/.f64 (fma.f64 n (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.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 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
Outputs
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

11.0ms
(/.f64 #s(literal 1 binary64) n)
10.0ms
x
10.0ms
n
8.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
76.0%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)))
66.9%3x
72.8%4n
73.2%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes44.0ms (0.2%)

Memory
-1.7MiB live, 78.9MiB allocated
Counts
31 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (*.f64 x n) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 n x))) (*.f64 n n))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (neg.f64 n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 x n))
(/.f64 (fma.f64 n (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.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))
Outputs
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
#s(literal 0 binary64)
Calls

4 calls:

16.0ms
n
9.0ms
(/.f64 #s(literal 1 binary64) n)
9.0ms
x
8.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
66.5%3x
66.5%8n
65.0%7(/.f64 #s(literal 1 binary64) n)
51.8%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes11.0ms (0%)

Memory
-17.6MiB live, 21.2MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (*.f64 x n) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 n x))) (*.f64 n n))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (neg.f64 n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 x n))
(/.f64 (fma.f64 n (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
Outputs
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
#s(literal 0 binary64)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
66.1%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes33.0ms (0.1%)

Memory
-4.8MiB live, 72.6MiB allocated
Counts
26 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (*.f64 x n) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 n x))) (*.f64 n n))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (neg.f64 n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n)) x)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 x n))
(/.f64 (fma.f64 n (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 x n))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
#s(literal 0 binary64)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
Calls

4 calls:

9.0ms
(/.f64 #s(literal 1 binary64) n)
8.0ms
x
8.0ms
n
6.0ms
(-.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
45.8%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
51.0%3n
50.9%3(/.f64 #s(literal 1 binary64) n)
48.4%2x
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes23.0ms (0.1%)

Memory
6.7MiB live, 47.9MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (*.f64 x n) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 n n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) n) x)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 n x))) (*.f64 n n))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) n) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (neg.f64 n))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
#s(literal 0 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
Calls

4 calls:

6.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
5.0ms
(/.f64 #s(literal 1 binary64) n)
5.0ms
x
5.0ms
n
Results
AccuracySegmentsBranch
41.0%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
43.6%2x
47.6%3(/.f64 #s(literal 1 binary64) n)
47.6%3n
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes5.0ms (0%)

Memory
13.6MiB live, 13.6MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (*.f64 x n) (*.f64 n n))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x n))
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
Calls

2 calls:

2.0ms
(/.f64 #s(literal 1 binary64) n)
2.0ms
n
Results
AccuracySegmentsBranch
46.4%3(/.f64 #s(literal 1 binary64) n)
46.4%3n
Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0%)

Memory
-20.7MiB live, 18.6MiB allocated
Accuracy

Total -15.3b remaining (-33%)

Threshold costs -15.3b (-33%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
Outputs
#s(literal 0 binary64)
Calls

4 calls:

2.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
2.0ms
(/.f64 #s(literal 1 binary64) n)
2.0ms
x
2.0ms
n
Results
AccuracySegmentsBranch
27.5%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
27.5%1x
27.5%1n
27.5%1(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch38.0ms (0.1%)

Memory
15.8MiB live, 53.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
35.0ms
21756.82064625536
278995133.96813184
Samples
13.0ms61×1valid
8.0ms24×2valid
4.0ms9×3valid
3.0ms34×0valid
2.0ms23×0exit
Compiler

Compiled 458 to 293 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-pow: 16.0ms (68.1% of total)
ival-div: 2.0ms (8.5% of total)
adjust: 2.0ms (8.5% 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)

bsearch33.0ms (0.1%)

Memory
5.0MiB live, 43.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
0.24514155442811308
81.49034250611889
Samples
8.0ms48×1valid
6.0ms20×2valid
4.0ms11×3valid
4.0ms49×0valid
0.0ms4×0exit
Compiler

Compiled 354 to 229 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-pow: 13.0ms (67.3% of total)
adjust: 2.0ms (10.4% of total)
ival-div: 2.0ms (10.4% of total)
ival-sub: 1.0ms (5.2% of total)
ival-add: 1.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.24514155442811308
81.49034250611889
Compiler

Compiled 314 to 213 computations (32.2% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0983612878304165e-18
4.411545231400874e-9
0.0ms
-2.0363359415417874e-16
-1.9225549902908818e-16
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0983612878304165e-18
4.411545231400874e-9
0.0ms
-2.0363359415417874e-16
-1.9225549902908818e-16
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0983612878304165e-18
4.411545231400874e-9
0.0ms
-2.0363359415417874e-16
-1.9225549902908818e-16
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.891728384290677e+190
2.6827026751308612e+191
0.0ms
1.0983612878304165e-18
4.411545231400874e-9
0.0ms
-2.0363359415417874e-16
-1.9225549902908818e-16
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.891728384290677e+190
2.6827026751308612e+191
0.0ms
1.0983612878304165e-18
4.411545231400874e-9
0.0ms
-1.2871969931737673e-13
-2.0363359415417874e-16
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.891728384290677e+190
2.6827026751308612e+191
0.0ms
1.0983612878304165e-18
4.411545231400874e-9
0.0ms
-1.2871969931737673e-13
-2.0363359415417874e-16
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0
5.391802362364473e-7
0.0ms
-0.00021727167490759314
-7.904787935331115e-14
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch64.0ms (0.3%)

Memory
-7.4MiB live, 71.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
47.0ms
2.1418254617053928e+200
3.728033903988979e+202
14.0ms
0.24514155442811308
81.49034250611889
Samples
41.0ms99×2valid
6.0ms44×0valid
3.0ms15×1valid
2.0ms22×0exit
1.0ms2×3valid
Compiler

Compiled 433 to 329 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-pow: 31.0ms (71.6% of total)
adjust: 5.0ms (11.5% of total)
ival-div: 3.0ms (6.9% of total)
ival-add: 2.0ms (4.6% of total)
ival-sub: 2.0ms (4.6% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.1418254617053928e+200
3.728033903988979e+202
13.0ms
0.24514155442811308
81.49034250611889
Samples
5.0ms30×1valid
3.0ms8×2valid
2.0ms24×0valid
1.0ms2×3valid
Compiler

Compiled 425 to 329 computations (22.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-pow: 6.0ms (71% of total)
adjust: 1.0ms (11.8% of total)
ival-div: 1.0ms (11.8% of total)
ival-sub: 1.0ms (11.8% of total)
ival-add: 1.0ms (11.8% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch57.0ms (0.2%)

Memory
-9.4MiB live, 64.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
-1.4127425446847383e-120
-5.747645386802164e-126
34.0ms
-5283.887748135642
-0.000431051702516742
Samples
22.0ms234×0valid
13.0ms17×2valid
8.0ms37×1valid
Compiler

Compiled 306 to 247 computations (19.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-pow: 26.0ms (73.3% of total)
ival-div: 3.0ms (8.5% of total)
adjust: 2.0ms (5.6% of total)
ival-sub: 2.0ms (5.6% of total)
ival-add: 2.0ms (5.6% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch7.0ms (0%)

Memory
11.1MiB live, 11.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
-1.4127425446847383e-120
-5.747645386802164e-126
1.0ms
-5283.887748135642
-0.000431051702516742
Samples
4.0ms48×0valid
Compiler

Compiled 234 to 193 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-pow: 2.0ms (73% of total)
ival-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
-1.4127425446847383e-120
-5.747645386802164e-126
1.0ms
-5283.887748135642
-0.000431051702516742
Compiler

Compiled 234 to 193 computations (17.5% saved)

simplify82.0ms (0.3%)

Memory
0.0MiB live, 82.1MiB allocated
Algorithm
1×egg-herbie
Rules
652×distribute-lft-neg-in_binary64
368×neg-mul-1_binary64
354×neg-sub0_binary64
320×distribute-neg-in_binary64
294×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0154627
1207627
2278627
3350623
4472623
5612623
6806623
71072623
81403623
91800623
102034623
112112623
122139623
132155623
142165623
152168623
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 550000 binary64)) (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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)) (neg.f64 n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 2206763817411543/2251799813685248 binary64)) (-.f64 (/.f64 x n) (/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 1080863910568919/1125899906842624 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)) (neg.f64 n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1298074214633707/649037107316853453566312041152512 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1298074214633707/649037107316853453566312041152512 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1298074214633707/649037107316853453566312041152512 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (-.f64 (fma.f64 x (/.f64 (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1298074214633707/649037107316853453566312041152512 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 20000000000000001451183431946375567220606848575622745649136687967944203449841378148904136363486483903481251953737351442322669506327274827542980731560078643584425249036505384641606421990866944 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3961408125713217/39614081257132168796771975168 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1298074214633707/649037107316853453566312041152512 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 20000000000000001451183431946375567220606848575622745649136687967944203449841378148904136363486483903481251953737351442322669506327274827542980731560078643584425249036505384641606421990866944 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3961408125713217/39614081257132168796771975168 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1298074214633707/649037107316853453566312041152512 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 20000000000000001451183431946375567220606848575622745649136687967944203449841378148904136363486483903481251953737351442322669506327274827542980731560078643584425249036505384641606421990866944 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -7378697629483821/36893488147419103232 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 0 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 34000000000000001010496047641737955390151824526950332246039767394920513553953876371176424923272737753513362919911576987316951376871778583708255570542457357808704739426404025280113896532006784892498083840 binary64)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 34000000000000001010496047641737955390151824526950332246039767394920513553953876371176424923272737753513362919911576987316951376871778583708255570542457357808704739426404025280113896532006784892498083840 binary64)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n) #s(literal 0 binary64)))
(if (<=.f64 n #s(literal -5854679515581645/1125899906842624 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) n) (if (<=.f64 n #s(literal -8840889449137087/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)))
(if (<=.f64 n #s(literal -5854679515581645/1125899906842624 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) n) (if (<=.f64 n #s(literal -7469027293236505/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n)))
(if (<=.f64 n #s(literal -5854679515581645/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (if (<=.f64 n #s(literal -7469027293236505/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(literal 0 binary64)
Outputs
(if (<=.f64 x #s(literal 550000 binary64)) (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (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)) (neg.f64 n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 550000 binary64)) (/.f64 (-.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))))) n) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 2206763817411543/2251799813685248 binary64)) (-.f64 (/.f64 x n) (/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 2206763817411543/2251799813685248 binary64)) (+.f64 (/.f64 x n) (/.f64 (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) (log.f64 x)) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 1080863910568919/1125899906842624 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)) (neg.f64 n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n)) n) (log.f64 x)) n) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1298074214633707/649037107316853453566312041152512 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1298074214633707/649037107316853453566312041152512 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (-.f64 (fma.f64 x (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1298074214633707/649037107316853453566312041152512 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (-.f64 (fma.f64 x (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
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(if (<=.f64 n #s(literal -5854679515581645/1125899906842624 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (if (<=.f64 n #s(literal -7469027293236505/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(literal 0 binary64)

soundness1.6s (6.3%)

Memory
26.4MiB live, 1 202.5MiB allocated
Rules
13 074×lower-fma.f64
13 074×lower-fma.f32
8 824×lower-fma.f64
8 824×lower-fma.f32
5 990×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043268
079268
1322256
23013256
08194250
0161014570
1518314043
0817313482
06407524
118267090
250597059
087656713
0831
01331
16331
240731
3433531
0843327
069515
0131491
1655479
27974479
08244445
036160
068156
1265152
21775139
08143138
02631714
17611578
221161504
374551498
087361380
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 1 440 to 696 computations (51.7% saved)

preprocess111.0ms (0.4%)

Memory
7.7MiB live, 169.5MiB allocated
Compiler

Compiled 1 280 to 322 computations (74.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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