2nthrt (problem 3.4.6)

Time bar (total: 26.1s)

analyze193.0ms (0.7%)

Memory
9.2MiB live, 277.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.5%62.4%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
45.2%43.7%53.1%0.1%0%3.1%0%7
45.2%43.7%53.1%0.1%0%3.1%0%8
50.8%46.8%45.3%0.1%0%7.8%0%9
50.8%46.8%45.3%0.1%0%7.8%0%10
53.9%48.4%41.4%0.1%0%10.1%0%11
53.9%48.4%41.4%0.1%0%10.1%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample14.2s (54.3%)

Memory
83.4MiB live, 16 884.6MiB allocated
Samples
8.9s4 865×5exit
1.3s2 783×2valid
1.1s2 907×1valid
468.0ms2 279×1exit
388.0ms2 557×0valid
235.0ms1 540×0exit
76.0ms97×2exit
16.0ms8×4exit
12.0ms5×3exit
6.0ms9×3valid
Precisions
Click to see histograms. Total time spent on operations: 11.5s
ival-pow: 9.1s (79.5% of total)
adjust: 1.1s (9.5% of total)
ival-add: 464.0ms (4% of total)
ival-div: 421.0ms (3.7% of total)
ival-sub: 318.0ms (2.8% of total)
exact: 34.0ms (0.3% of total)
ival-true: 15.0ms (0.1% of total)
ival-assert: 8.0ms (0.1% of total)
Bogosity

preprocess44.0ms (0.2%)

Memory
8.3MiB live, 47.2MiB 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)))

explain435.0ms (1.7%)

Memory
-5.0MiB live, 449.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1020-0-(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
3842(5.241578513277408e-174 -1.1395564248754079e-28)0-(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(pow.f64 x (/.f64 #s(literal 1 binary64) n))
00-0-n
00-0-(/.f64 #s(literal 1 binary64) n)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))cancellation1020
pow.f64(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))sensitivity800
Confusion
Predicted +Predicted -
+1200
-6274
Precision
0.6593406593406593
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12000
-62074
Precision?
0.6593406593406593
Recall?
1.0
Freqs
test
numberfreq
074
1182
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
116.0ms168×2valid
110.0ms240×1valid
38.0ms104×0valid
Compiler

Compiled 102 to 36 computations (64.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 224.0ms
ival-pow: 143.0ms (64% of total)
adjust: 33.0ms (14.8% of total)
ival-add: 32.0ms (14.3% of total)
ival-div: 9.0ms (4% of total)
ival-sub: 5.0ms (2.2% of total)
exact: 1.0ms (0.4% 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
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶57.4%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify17.0ms (0.1%)

Memory
-24.3MiB live, 14.8MiB 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))

localize136.0ms (0.5%)

Memory
12.6MiB live, 174.6MiB 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))
✓accuracy86.3%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy63.6%
(-.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
44.0ms84×2valid
38.0ms120×1valid
5.0ms52×0valid
Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-pow: 56.0ms (76% of total)
adjust: 7.0ms (9.5% of total)
ival-div: 4.0ms (5.4% of total)
ival-add: 3.0ms (4.1% of total)
ival-sub: 3.0ms (4.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series81.0ms (0.3%)

Memory
-16.6MiB live, 103.2MiB 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
42.0ms
x
@0
(pow x (/ 1 n))
23.0ms
x
@-inf
(pow x (/ 1 n))
7.0ms
x
@inf
(pow x (/ 1 n))
1.0ms
x
@inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0ms
x
@-inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite298.0ms (1.1%)

Memory
26.8MiB live, 455.8MiB 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)))

simplify461.0ms (1.8%)

Memory
11.6MiB live, 848.2MiB 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))

eval59.0ms (0.2%)

Memory
0.8MiB live, 156.5MiB allocated
Compiler

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

prune75.0ms (0.3%)

Memory
-9.0MiB live, 230.1MiB allocated
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New46418482
Fresh000
Picked101
Done000
Total46518483
Accuracy
99.8%
Counts
483 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.4%
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
17.7%
(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))))
36.8%
(/.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)
32.2%
(/.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)
43.6%
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
60.7%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
61.4%
(/.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)
▶25.5%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
25.5%
(/.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 (+.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)))))
▶70.0%
(/.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))
25.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (*.f64 (+.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 x (/.f64 #s(literal 2 binary64) n)))) (pow.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 2 binary64)))
54.7%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
▶25.6%
(-.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)))
17.7%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
38.0%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶63.6%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶42.9%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
40.2%
(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 1 062 to 542 computations (49% saved)

simplify334.0ms (1.3%)

Memory
13.8MiB live, 540.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))
✓cost-diff0
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
✓cost-diff0
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
✓cost-diff0
(log1p.f64 x)
✓cost-diff0
(/.f64 (log1p.f64 x) n)
✓cost-diff0
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓cost-diff6144
(exp.f64 (/.f64 (log1p.f64 x) n))
✓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
12 212×lower-fma.f32
12 206×lower-fma.f64
3 398×lower-*.f32
3 394×lower-*.f64
1 926×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045420
086418
1148418
2314418
3678414
41651414
55094410
08182407
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 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(pow.f64 x (/.f64 #s(literal 1 binary64) 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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(-.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 (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 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 (-.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)
(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 (-.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)))
#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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))
(*.f64 #s(literal 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 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.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))))
(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 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))

localize399.0ms (1.5%)

Memory
-12.7MiB live, 540.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
✓accuracy99.1%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy99.1%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))
✓accuracy63.7%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
✓accuracy100.0%
(exp.f64 (/.f64 (log1p.f64 x) n))
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy99.9%
(/.f64 (log1p.f64 x) n)
✓accuracy63.6%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy99.9%
(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))
✓accuracy99.7%
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
✓accuracy97.0%
(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))
✓accuracy70.3%
(-.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)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy51.6%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy99.3%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
✓accuracy73.7%
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
✓accuracy73.6%
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
✓accuracy73.6%
(-.f64 (log.f64 x) (log1p.f64 x))
Samples
153.0ms85×2valid
81.0ms69×1valid
35.0ms83×0exit
17.0ms12×1exit
3.0ms7×0valid
Compiler

Compiled 422 to 50 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 236.0ms
ival-pow: 79.0ms (33.5% of total)
adjust: 30.0ms (12.7% of total)
ival-div: 27.0ms (11.5% of total)
ival-log: 21.0ms (8.9% of total)
ival-sub: 18.0ms (7.6% of total)
ival-exp: 12.0ms (5.1% of total)
ival-mult: 12.0ms (5.1% of total)
ival-add: 12.0ms (5.1% of total)
ival-pow2: 9.0ms (3.8% of total)
ival-log1p: 7.0ms (3% of total)
const: 5.0ms (2.1% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series120.0ms (0.5%)

Memory
-8.1MiB live, 187.1MiB allocated
Counts
24 → 456
Calls
Call 1
Inputs
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#<alt (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))))) x)) (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n)))) x))) x))>
#<alt (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (+ (* 2/3 (/ 1 (pow n 4))) (* 11/6 (/ 1 (pow n 2)))) (+ (* 1/2 (/ 1 n)) (* 2 (/ 1 (pow n 3)))))) x)) (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3))))))) x)) (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n)))) x))) x))>
#<alt (- (exp (* 2 (/ (log (+ 1 x)) n))) (exp (* 2 (/ (log x) n))))>
#<alt (- (exp (* 2 (/ (log (+ 1 x)) n))) (exp (* 2 (/ (log x) n))))>
#<alt (- (exp (* 2 (/ (log (+ 1 x)) n))) (exp (* 2 (/ (log x) n))))>
#<alt (- (exp (* 2 (/ (log (+ 1 x)) n))) (exp (* 2 (/ (log x) n))))>
#<alt (/ (- (* 2 (log (+ 1 x))) (* 2 (log x))) n)>
#<alt (/ (- (+ (* 2 (log (+ 1 x))) (* 2 (/ (pow (log (+ 1 x)) 2) n))) (+ (* 2 (log x)) (* 2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (+ (* 2 (log (+ 1 x))) (* 2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (* 4/3 (/ (pow (log x) 3) (pow n 2))) (+ (* 2 (log x)) (* 2 (/ (pow (log x) 2) n))))) n)>
#<alt (/ (- (+ (* 2/3 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (+ (* 2 (log (+ 1 x))) (* 2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (* 2/3 (/ (pow (log x) 4) (pow n 3))) (+ (* 4/3 (/ (pow (log x) 3) (pow n 2))) (+ (* 2 (log x)) (* 2 (/ (pow (log x) 2) n)))))) n)>
#<alt (* -1 (/ (- (* -2 (log (+ 1 x))) (* -2 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -2 (log (+ 1 x))) (* -1 (/ (- (* 2 (pow (log (+ 1 x)) 2)) (* 2 (pow (log x) 2))) n))) (* -2 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -2 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -4/3 (pow (log (+ 1 x)) 3)) (* -4/3 (pow (log x) 3))) n)) (* 2 (pow (log (+ 1 x)) 2))) (* 2 (pow (log x) 2))) n))) (* -2 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -2 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4/3 (pow (log (+ 1 x)) 3)) (* -1 (/ (- (* 2/3 (pow (log (+ 1 x)) 4)) (* 2/3 (pow (log x) 4))) n))) (* -4/3 (pow (log x) 3))) n)) (* 2 (pow (log (+ 1 x)) 2))) (* 2 (pow (log x) 2))) n))) (* -2 (log x))) n))>
#<alt 1>
#<alt (+ 1 (* 2 (/ x n)))>
#<alt (+ 1 (* x (+ (* x (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* x (+ (* x (- (+ (* 2 (/ 1 (pow n 2))) (* x (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2)))))) (/ 1 n))) (* 2 (/ 1 n)))))>
#<alt (exp (* -2 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -2 (/ (log (/ 1 x)) n))) (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))))>
#<alt (+ (exp (* -2 (/ (log (/ 1 x)) n))) (+ (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))) (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (pow x 2))))>
#<alt (+ (exp (* -2 (/ (log (/ 1 x)) n))) (+ (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))) (+ (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (pow x 2)) (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2))))) (pow x 3)))))>
#<alt (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* 2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x))))>
#<alt (+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) x))) x)))>
#<alt (+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))))) x)) (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n)))) x))) x)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2)))))>
#<alt (+ 1 (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2))))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -1 (/ (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) n)) (* 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 (pow (log x) 2))>
#<alt (- (pow x 2) (pow (log x) 2))>
#<alt (- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))>
#<alt (- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))>
#<alt (* -2 (/ (log (/ 1 x)) x))>
#<alt (/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x)>
#<alt (/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)>
#<alt (/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x)>
#<alt (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))>
#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))>
#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x))>
#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)))) x))) x))>
#<alt (* -1 (pow (log x) 3))>
#<alt (- (pow x 3) (pow (log x) 3))>
#<alt (- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3))>
#<alt (- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3))>
#<alt (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) x)>
#<alt (/ (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) x)>
#<alt (/ (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 2))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (log (/ 1 x)) (pow x 2))) (+ (* 2 (pow (log (/ 1 x)) 2)) (+ (/ 1 (pow x 2)) (pow (log (/ 1 x)) 2))))))))) x)>
#<alt (/ (- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -4/3 (/ (log (/ 1 x)) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow x 3))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow x 3))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (log (/ 1 x)) (pow x 2))) (+ (* 2 (pow (log (/ 1 x)) 2)) (+ (/ 1 (pow x 2)) (pow (log (/ 1 x)) 2))))))))))))) (/ 1 (pow x 3))) x)>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<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)))>
Calls

114 calls:

TimeVariablePointExpression
25.0ms
n
@inf
(/ (log (+ 1 x)) n)
15.0ms
n
@0
(/ (log (+ 1 x)) n)
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))
5.0ms
n
@-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))
5.0ms
x
@0
(/ (- (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))

rewrite404.0ms (1.5%)

Memory
28.0MiB live, 534.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 524×lower-fma.f32
4 518×lower-fma.f64
3 874×lower-*.f32
3 870×lower-*.f64
3 686×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045258
086240
1423240
23830240
08740236
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 814
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))
(exp.f64 (/.f64 (log1p.f64 x) n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))
(+.f64 x #s(literal 1 binary64))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 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 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)) n))
(-.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 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 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)) (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 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 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 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)) 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 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)) (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 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) #s(literal 1 binary64)))
(/.f64 #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 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))))
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n)
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64))) (*.f64 (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 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (*.f64 (neg.f64 n) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (*.f64 (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 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (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 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (neg.f64 n)))
(/.f64 (neg.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 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))) (neg.f64 n))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 n (neg.f64 n))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 n (neg.f64 n))) #s(literal 2 binary64)) (*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 n (neg.f64 n)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 n (neg.f64 n))) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 n (neg.f64 n)))))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) #s(literal 1 binary64)) (neg.f64 n))
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(pow.f64 (/.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) #s(literal -1 binary64))
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(*.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (/.f64 #s(literal -1 binary64) n))
(*.f64 #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 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)) (neg.f64 n)))
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(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))
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(pow.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64)) #s(literal -1 binary64))
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(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n (neg.f64 n))))
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(*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1 binary64) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (*.f64 (log1p.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
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(exp.f64 (*.f64 (*.f64 (log1p.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log1p.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)) (*.f64 (log1p.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) n)))
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log1p.f64 x) (neg.f64 n))))
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(pow.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))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n))
(pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log1p.f64 x))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) n))
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(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))

simplify417.0ms (1.6%)

Memory
8.3MiB live, 753.0MiB allocated
Algorithm
1×egg-herbie
Rules
5 456×lower-fma.f64
5 456×lower-fma.f32
4 756×lower-*.f64
4 756×lower-*.f32
4 082×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0159814514
1515813779
0814912851
Stop Event
1×iter limit
1×node limit
Counts
456 → 453
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))
(* -1 (/ (- (+ (* -1 (/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) n)) (/ 1/2 (* n x))) (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))) (* n x))) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) (* n x))))) x))
(* -1 (/ (+ (* -1 (/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) n)) (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))) n)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))))) (/ 1/3 (* n x))) (+ (* 1/6 (/ (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (/ (log -1) (pow n 2)) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))))) (* n x))) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) (* n x))))) x))) x))
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(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(pow (log x) 3)
(pow (log x) 3)
(pow (log x) 3)
(pow (log x) 3)
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
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)))
Outputs
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
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(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))
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(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 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 (/ (+ (* -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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(* -1 (/ (- (+ (* -1 (/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) n)) (/ 1/2 (* n x))) (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))) (* n x))) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) (* n x))))) x))
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eval323.0ms (1.2%)

Memory
2.8MiB live, 447.3MiB allocated
Compiler

Compiled 64 456 to 5 646 computations (91.2% saved)

prune267.0ms (1%)

Memory
-12.2MiB live, 444.1MiB allocated
Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New1 736281 764
Fresh5813
Picked415
Done000
Total1 745371 782
Accuracy
99.9%
Counts
1 782 → 37
Alt Table
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StatusAccuracyProgram
51.0%
(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 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 n (neg.f64 n)))))
17.7%
(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))))
36.8%
(/.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)
32.2%
(/.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)
43.6%
(/.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)
26.1%
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 (log.f64 x))) n)
5.8%
(/.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))
33.2%
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (neg.f64 (log.f64 x))) n)
▶60.7%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
16.4%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) n))) (*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)))))
32.2%
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64))) (*.f64 (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 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))))
25.5%
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (*.f64 (+.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 x (/.f64 #s(literal 2 binary64) n)))) (pow.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 2 binary64)))
38.8%
(/.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 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (*.f64 (neg.f64 n) (neg.f64 n)))
33.9%
(/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) 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))
54.7%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
25.8%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
27.9%
(/.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 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) n)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))))
11.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
50.1%
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) x)) (neg.f64 n))
28.9%
(/.f64 (exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) n)) (*.f64 (*.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
54.9%
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
16.9%
(-.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 n (*.f64 n #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) n)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
31.9%
(-.f64 (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
10.6%
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))
9.8%
(-.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))
30.0%
(-.f64 (fma.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (/.f64 x n) #s(literal 1/2 binary64)))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
38.0%
(-.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
17.7%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
▶38.0%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
23.6%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
▶58.6%
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓42.9%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶31.2%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
54.9%
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
6.0%
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
▶41.8%
(neg.f64 (/.f64 (neg.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)))) n) (log.f64 x))) n))
26.6%
(neg.f64 (/.f64 (log.f64 x) n))
Compiler

Compiled 2 265 to 1 184 computations (47.7% saved)

simplify342.0ms (1.3%)

Memory
21.8MiB live, 448.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(neg.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)))) n) (log.f64 x)))
✓cost-diff128
(neg.f64 (/.f64 (neg.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)))) n) (log.f64 x))) n))
✓cost-diff6144
(-.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)))) n) (log.f64 x))
✓cost-diff6464
(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))))
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(/.f64 x n)
✓cost-diff0
(exp.f64 (/.f64 x n))
✓cost-diff0
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(/.f64 x n)
✓cost-diff0
(+.f64 (/.f64 x n) #s(literal 1 binary64))
✓cost-diff0
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓cost-diff192
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓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-diff0
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
Rules
12 056×lower-fma.f32
12 054×lower-fma.f64
2 628×lower-*.f32
2 624×lower-*.f64
2 328×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028225
051225
182223
2146221
3311215
4776215
52534215
64075215
75471215
86339215
96625215
106796215
116847215
127947215
08037207
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.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) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(/.f64 x n)
x
n
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 x n))
(/.f64 x n)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(neg.f64 (/.f64 (neg.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)))) n) (log.f64 x))) n))
(/.f64 (neg.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)))) n) (log.f64 x))) n)
(neg.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)))) n) (log.f64 x)))
(-.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)))) n) (log.f64 x))
(/.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)))) n)
(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))))
#s(literal -1/6 binary64)
(/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(log.f64 x)
x
#s(literal 3 binary64)
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 (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) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(/.f64 x n)
x
n
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 x n))
(/.f64 x n)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(neg.f64 (/.f64 (neg.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)))) n) (log.f64 x))) n))
(*.f64 (/.f64 (log.f64 x) n) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (log.f64 x) n) #s(literal -1/2 binary64))) n)))
(/.f64 (neg.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)))) n) (log.f64 x))) n)
(*.f64 (/.f64 (log.f64 x) n) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 x) (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n)))
(neg.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)))) n) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 x) (fma.f64 (/.f64 (log.f64 x) n) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) n)))
(-.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)))) n) (log.f64 x))
(*.f64 (log.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 x) (fma.f64 #s(literal -1/6 binary64) (/.f64 (log.f64 x) n) #s(literal -1/2 binary64))) n)))
(/.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)))) n)
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (log.f64 x) n) #s(literal -1/2 binary64)) n))
(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))))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (log.f64 x) n) #s(literal -1/2 binary64)))
#s(literal -1/6 binary64)
(/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(log.f64 x)
x
#s(literal 3 binary64)
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)

localize196.0ms (0.8%)

Memory
5.7MiB live, 283.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.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)))) n)
✓accuracy99.6%
(/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)
✓accuracy99.2%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓accuracy98.9%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy100.0%
(exp.f64 (/.f64 x n))
✓accuracy63.0%
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(+.f64 (/.f64 x n) #s(literal 1 binary64))
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy63.1%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(*.f64 x n)
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy90.8%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
Samples
79.0ms157×0valid
47.0ms68×1valid
26.0ms31×2valid
Compiler

Compiled 229 to 31 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-sub: 38.0ms (30.1% of total)
ival-div: 32.0ms (25.3% of total)
ival-pow: 15.0ms (11.9% of total)
ival-log: 9.0ms (7.1% of total)
adjust: 6.0ms (4.7% of total)
ival-mult: 6.0ms (4.7% of total)
ival-exp: 5.0ms (4% of total)
const: 4.0ms (3.2% of total)
ival-neg: 4.0ms (3.2% of total)
ival-add: 3.0ms (2.4% of total)
ival-pow2: 3.0ms (2.4% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series102.0ms (0.4%)

Memory
-21.4MiB live, 132.3MiB allocated
Counts
18 → 372
Calls
Call 1
Inputs
#<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 (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))>
#<alt (+.f64 (/.f64 x n) #s(literal 1 binary64))>
#<alt (/.f64 x n)>
#<alt (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))>
#<alt (exp.f64 (/.f64 x n))>
#<alt (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))))>
#<alt (-.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)))) n) (log.f64 x))>
#<alt (neg.f64 (/.f64 (neg.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)))) n) (log.f64 x))) n))>
#<alt (neg.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)))) n) (log.f64 x)))>
#<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)) n)>
#<alt (/.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)))) n)>
Outputs
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ 1 (* n x))>
#<alt (/ (+ (/ 1 x) (/ (log x) (* n x))) n)>
#<alt (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)>
#<alt (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))>
#<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)))>
#<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 (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (/ x n)>
#<alt (* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)))>
#<alt (* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)))>
#<alt (* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)))>
#<alt (/ x n)>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n))))>
#<alt (* -1 (* x (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n))))>
#<alt (/ x n)>
#<alt (/ (+ x (* n (- 1 (exp (/ (log x) n))))) n)>
#<alt (/ (+ x (* n (- 1 (exp (/ (log x) n))))) n)>
#<alt (/ (+ x (* n (- 1 (exp (/ (log x) n))))) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x)) n)>
#<alt (/ (- (+ x (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (+ x (* -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 (/ (- (* -1 x) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 x) (* -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 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (/ x n))>
#<alt (/ x n)>
#<alt (* x (+ (/ 1 n) (/ 1 x)))>
#<alt (* x (+ (/ 1 n) (/ 1 x)))>
#<alt (* x (+ (/ 1 n) (/ 1 x)))>
#<alt (/ x n)>
#<alt (* x (+ (/ 1 n) (/ 1 x)))>
#<alt (* x (+ (/ 1 n) (/ 1 x)))>
#<alt (* x (+ (/ 1 n) (/ 1 x)))>
#<alt (/ x n)>
#<alt (/ (+ n x) n)>
#<alt (/ (+ n x) n)>
#<alt (/ (+ n x) n)>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (/ x n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (/ x n))>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* 1/2 (/ x (pow n 2))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (- (exp (/ x n)) (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- (exp (/ x n)) (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- (exp (/ x n)) (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- (exp (/ x n)) (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- (exp (/ x n)) (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- (exp (/ x n)) (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- (exp (/ x n)) (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- (exp (/ x n)) (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- (exp (/ x n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ x n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ x n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ x n)) (exp (/ (log x) n)))>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- (+ x (* 1/2 (/ (pow x 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (+ x (+ (* 1/6 (/ (pow x 3) (pow n 2))) (* 1/2 (/ (pow x 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)>
#<alt (/ (- (+ x (+ (* 1/24 (/ (pow x 4) (pow n 3))) (+ (* 1/6 (/ (pow x 3) (pow n 2))) (* 1/2 (/ (pow 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 x) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow x 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow x 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow x 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* 1/2 (/ x (pow n 2))) (/ 1 n))))>
#<alt (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ x n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow x 3) (pow n 3))) (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ x n))))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* 1/2 (pow x 2))) n))) n)))>
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))>
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))>
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))>
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))>
#<alt (+ (* -1/2 (pow (log (/ 1 x)) 2)) (* 1/6 (/ (pow (log (/ 1 x)) 3) n)))>
#<alt (+ (* -1/2 (pow (log (/ 1 x)) 2)) (* 1/6 (/ (pow (log (/ 1 x)) 3) n)))>
#<alt (+ (* -1/2 (pow (log (/ 1 x)) 2)) (* 1/6 (/ (pow (log (/ 1 x)) 3) n)))>
#<alt (+ (* -1/2 (pow (log (/ 1 x)) 2)) (* 1/6 (/ (pow (log (/ 1 x)) 3) n)))>
#<alt (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)))>
#<alt (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)))>
#<alt (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)))>
#<alt (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)))>
#<alt (* -1/6 (/ (pow (log x) 3) n))>
#<alt (/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) n)>
#<alt (/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) n)>
#<alt (/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) n)>
#<alt (* -1/2 (pow (log x) 2))>
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))>
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))>
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))>
#<alt (* -1/2 (pow (log x) 2))>
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))>
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))>
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))) (* -1 (log (/ 1 x))))>
#<alt (- (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))) (* -1 (log (/ 1 x))))>
#<alt (- (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))) (* -1 (log (/ 1 x))))>
#<alt (- (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))) (* -1 (log (/ 1 x))))>
#<alt (- (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 2))>
#<alt (/ (+ (* -1/6 (pow (log x) 3)) (* n (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))))) (pow n 2))>
#<alt (/ (+ (* -1/6 (pow (log x) 3)) (* n (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))))) (pow n 2))>
#<alt (* -1 (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (log x))>
#<alt (* -1 (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (log x))>
#<alt (- (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* -1/6 (/ (pow (log x) 3) (pow n 3)))) (/ (log x) n))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* -1/6 (/ (pow (log x) 3) (pow n 3)))) (/ (log x) n))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* -1/6 (/ (pow (log x) 3) (pow n 3)))) (/ (log x) n))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* -1/6 (/ (pow (log x) 3) (pow n 3)))) (/ (log x) n))>
#<alt (- (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))) (* -1 (/ (log (/ 1 x)) n)))>
#<alt (- (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))) (* -1 (/ (log (/ 1 x)) n)))>
#<alt (- (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))) (* -1 (/ (log (/ 1 x)) n)))>
#<alt (- (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))) (* -1 (/ (log (/ 1 x)) n)))>
#<alt (- (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 3)))) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))>
#<alt (- (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 3)))) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))>
#<alt (- (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 3)))) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))>
#<alt (- (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 3)))) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 3)))>
#<alt (/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 3))>
#<alt (/ (+ (* -1/6 (pow (log x) 3)) (* n (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))))) (pow n 3))>
#<alt (/ (+ (* -1/6 (pow (log x) 3)) (* n (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))))) (pow n 3))>
#<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 (/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 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 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))>
#<alt (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))>
#<alt (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))>
#<alt (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))>
#<alt (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))>
#<alt (- (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))))>
#<alt (- (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))))>
#<alt (- (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))))>
#<alt (- (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))))>
#<alt (* 1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (/ (- (* 1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 2))>
#<alt (/ (- (* n (- (* n (log x)) (* -1/2 (pow (log x) 2)))) (* -1/6 (pow (log x) 3))) (pow n 2))>
#<alt (/ (- (* n (- (* n (log x)) (* -1/2 (pow (log x) 2)))) (* -1/6 (pow (log x) 3))) (pow n 2))>
#<alt (log x)>
#<alt (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))>
#<alt (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n)))>
#<alt (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n)))>
#<alt (log x)>
#<alt (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))>
#<alt (+ (log x) (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)))>
#<alt (+ (log x) (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)))>
#<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 (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (/ (pow (log x) 3) n)>
#<alt (/ (pow (log x) 3) n)>
#<alt (/ (pow (log x) 3) n)>
#<alt (/ (pow (log x) 3) n)>
#<alt (* -1 (/ (pow (log (/ 1 x)) 3) n))>
#<alt (* -1 (/ (pow (log (/ 1 x)) 3) n))>
#<alt (* -1 (/ (pow (log (/ 1 x)) 3) n))>
#<alt (* -1 (/ (pow (log (/ 1 x)) 3) n))>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)>
#<alt (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)>
#<alt (/ (pow (log x) 3) n)>
#<alt (/ (pow (log x) 3) n)>
#<alt (/ (pow (log x) 3) n)>
#<alt (/ (pow (log x) 3) n)>
#<alt (/ (pow (log x) 3) n)>
#<alt (/ (pow (log x) 3) n)>
#<alt (/ (pow (log x) 3) n)>
#<alt (/ (pow (log x) 3) n)>
#<alt (/ (pow (log x) 3) n)>
#<alt (/ (pow (log x) 3) n)>
#<alt (/ (pow (log x) 3) n)>
#<alt (/ (pow (log x) 3) n)>
#<alt (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)>
#<alt (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)>
#<alt (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)>
#<alt (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)>
#<alt (/ (+ (* -1/2 (pow (log (/ 1 x)) 2)) (* 1/6 (/ (pow (log (/ 1 x)) 3) n))) n)>
#<alt (/ (+ (* -1/2 (pow (log (/ 1 x)) 2)) (* 1/6 (/ (pow (log (/ 1 x)) 3) n))) n)>
#<alt (/ (+ (* -1/2 (pow (log (/ 1 x)) 2)) (* 1/6 (/ (pow (log (/ 1 x)) 3) n))) n)>
#<alt (/ (+ (* -1/2 (pow (log (/ 1 x)) 2)) (* 1/6 (/ (pow (log (/ 1 x)) 3) n))) n)>
#<alt (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n))) n)>
#<alt (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n))) n)>
#<alt (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n))) n)>
#<alt (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n))) n)>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 2))>
#<alt (/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 2))>
#<alt (/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 2))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)>
#<alt (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)>
#<alt (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))>
#<alt (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))>
#<alt (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))>
Calls

93 calls:

TimeVariablePointExpression
12.0ms
n
@0
(/ (pow (log x) 3) n)
8.0ms
x
@inf
(/ (pow x (/ 1 n)) (* x n))
5.0ms
n
@0
(+ (* -1/6 (/ (pow (log x) 3) n)) (* -1/2 (pow (log x) 2)))
5.0ms
x
@-inf
(/ (pow x (/ 1 n)) (* x n))
4.0ms
n
@inf
(/ (pow (log x) 3) n)

rewrite551.0ms (2.1%)

Memory
-183.6MiB live, 529.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 698×lower-*.f32
4 694×lower-*.f64
4 316×lower-fma.f32
4 314×lower-fma.f64
4 182×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028160
051160
1186158
21371158
08098158
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 590
Calls
Call 1
Inputs
(/.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)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(/.f64 x n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 x n))
(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))))
(-.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)))) n) (log.f64 x))
(neg.f64 (/.f64 (neg.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)))) n) (log.f64 x))) n))
(neg.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)))) n) (log.f64 x)))
(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)) n)
(/.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)))) n)
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x (neg.f64 n))))
(neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x (neg.f64 n))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 x n)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))))))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))))
(/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 x (neg.f64 n)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (neg.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (*.f64 x (neg.f64 n))))
(/.f64 (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)) (neg.f64 n))
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (*.f64 x n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (neg.f64 (neg.f64 (*.f64 x (neg.f64 n)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (*.f64 x (neg.f64 n)))
(/.f64 (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (neg.f64 x))
(pow.f64 (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 n (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
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(pow.f64 (/.f64 n (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))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n (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))))) #s(literal 1 binary64)) #s(literal -1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) n) (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)))))
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(*.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)))) n) #s(literal 1 binary64))
(*.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)))) n) (/.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)))) (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))))))
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simplify423.0ms (1.6%)

Memory
17.2MiB live, 624.0MiB allocated
Algorithm
1×egg-herbie
Rules
12 554×lower-fma.f64
12 554×lower-fma.f32
4 010×lower-+.f64
4 010×lower-+.f32
3 750×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03674671
110944457
230504349
083044183
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ 1 (* n x))
(/ (+ (/ 1 x) (/ (log x) (* n x))) n)
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)
(/ 1 (* n x))
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(exp (/ (log x) n))
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(exp (/ (log x) n))
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1
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1
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(/ x n)
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1
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(+ (* -1/2 (pow (log (/ 1 x)) 2)) (* 1/6 (/ (pow (log (/ 1 x)) 3) n)))
(+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)))
(+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)))
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(+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)))
(* -1/6 (/ (pow (log x) 3) n))
(/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) n)
(/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) n)
(/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) n)
(* -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)))
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(/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 2))
(/ (+ (* -1/6 (pow (log x) 3)) (* n (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))))) (pow n 2))
(/ (+ (* -1/6 (pow (log x) 3)) (* n (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))))) (pow n 2))
(* -1 (log x))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (log x))
(* -1 (log x))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (log x))
(- (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* -1/6 (/ (pow (log x) 3) (pow n 3)))) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* -1/6 (/ (pow (log x) 3) (pow n 3)))) (/ (log x) n))
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(- (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))) (* -1 (/ (log (/ 1 x)) n)))
(- (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))) (* -1 (/ (log (/ 1 x)) n)))
(- (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))) (* -1 (/ (log (/ 1 x)) n)))
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(* -1/6 (/ (pow (log x) 3) (pow n 3)))
(/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 3))
(/ (+ (* -1/6 (pow (log x) 3)) (* n (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))))) (pow n 3))
(/ (+ (* -1/6 (pow (log x) 3)) (* n (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))))) (pow n 3))
(* -1 (/ (log x) n))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(* -1 (/ (log x) n))
(* -1 (/ (- (* 1/2 (/ (pow (log x) 2) n)) (* -1 (log x))) n))
(* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))
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(- (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))))
(- (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))))
(- (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))))
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(- (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))))
(- (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))))
(* 1/6 (/ (pow (log x) 3) (pow n 2)))
(/ (- (* 1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 2))
(/ (- (* n (- (* n (log x)) (* -1/2 (pow (log x) 2)))) (* -1/6 (pow (log x) 3))) (pow n 2))
(/ (- (* n (- (* n (log x)) (* -1/2 (pow (log x) 2)))) (* -1/6 (pow (log x) 3))) (pow n 2))
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(- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n)))
(- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n)))
(log x)
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(pow (log x) 3)
(pow (log x) 3)
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(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
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(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
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(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)
(/ (pow (log x) 3) n)
(/ (pow (log x) 3) n)
(/ (pow (log x) 3) n)
(/ (pow (log x) 3) n)
(* -1 (/ (pow (log (/ 1 x)) 3) n))
(* -1 (/ (pow (log (/ 1 x)) 3) n))
(* -1 (/ (pow (log (/ 1 x)) 3) n))
(* -1 (/ (pow (log (/ 1 x)) 3) n))
(/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)
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(/ (pow (log x) 3) n)
(/ (pow (log x) 3) n)
(/ (pow (log x) 3) n)
(/ (pow (log x) 3) n)
(/ (pow (log x) 3) n)
(/ (pow (log x) 3) n)
(/ (pow (log x) 3) n)
(/ (pow (log x) 3) n)
(/ (pow (log x) 3) n)
(/ (pow (log x) 3) n)
(/ (pow (log x) 3) n)
(/ (pow (log x) 3) n)
(/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)
(/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)
(/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)
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(/ (+ (* -1/2 (pow (log (/ 1 x)) 2)) (* 1/6 (/ (pow (log (/ 1 x)) 3) n))) n)
(/ (+ (* -1/2 (pow (log (/ 1 x)) 2)) (* 1/6 (/ (pow (log (/ 1 x)) 3) n))) n)
(/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n))) n)
(/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n))) n)
(/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n))) n)
(/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n))) n)
(* -1/6 (/ (pow (log x) 3) (pow n 2)))
(/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 2))
(/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 2))
(/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 2))
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(/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)
(/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)
(/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)
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Outputs
(/ (exp (/ (log x) n)) (* n x))
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(/ (exp (/ (log x) n)) (* n x))
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(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
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(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
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(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
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(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (*.f64 x n))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (*.f64 x n))
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(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
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(/ (exp (/ (log x) n)) (* n x))
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(/ (exp (/ (log x) n)) (* n x))
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(/ 1 (* n x))
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(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 x n))) n)
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)
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(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)
(/.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) x) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1 binary64) x))) (/.f64 (log.f64 x) (*.f64 x n))) n)
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(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
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(/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)
(neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (log.f64 x)))) (*.f64 n n)))
(/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)
(neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (log.f64 x)))) (*.f64 n n)))
(/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)
(neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (log.f64 x)))) (*.f64 n n)))
(/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)
(neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (log.f64 x)))) (*.f64 n n)))
(/ (+ (* -1/2 (pow (log (/ 1 x)) 2)) (* 1/6 (/ (pow (log (/ 1 x)) 3) n))) n)
(neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (log.f64 x)))) (*.f64 n n)))
(/ (+ (* -1/2 (pow (log (/ 1 x)) 2)) (* 1/6 (/ (pow (log (/ 1 x)) 3) n))) n)
(neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (log.f64 x)))) (*.f64 n n)))
(/ (+ (* -1/2 (pow (log (/ 1 x)) 2)) (* 1/6 (/ (pow (log (/ 1 x)) 3) n))) n)
(neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (log.f64 x)))) (*.f64 n n)))
(/ (+ (* -1/2 (pow (log (/ 1 x)) 2)) (* 1/6 (/ (pow (log (/ 1 x)) 3) n))) n)
(neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (log.f64 x)))) (*.f64 n n)))
(/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n))) n)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) n)
(/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n))) n)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) n)
(/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n))) n)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) n)
(/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n))) n)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 3 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) #s(literal 2 binary64)))) n)
(* -1/6 (/ (pow (log x) 3) (pow n 2)))
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 n n))
(/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 2))
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal -1/6 binary64) (*.f64 n #s(literal -1/2 binary64)))) (*.f64 n n))
(/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 2))
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal -1/6 binary64) (*.f64 n #s(literal -1/2 binary64)))) (*.f64 n n))
(/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 2))
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (log.f64 x) #s(literal -1/6 binary64) (*.f64 n #s(literal -1/2 binary64)))) (*.f64 n n))
(* -1/2 (/ (pow (log x) 2) n))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n))
(/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)
(neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (log.f64 x)))) (*.f64 n n)))
(/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)
(neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (log.f64 x)))) (*.f64 n n)))
(/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)
(neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (log.f64 x)))) (*.f64 n n)))
(* -1/2 (/ (pow (log x) 2) n))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n))
(* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))
(neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (log.f64 x)))) (*.f64 n n)))
(* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))
(neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (log.f64 x)))) (*.f64 n n)))
(* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))
(neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 n #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (log.f64 x)))) (*.f64 n n)))

eval201.0ms (0.8%)

Memory
1.8MiB live, 258.5MiB allocated
Compiler

Compiled 29 041 to 2 974 computations (89.8% saved)

prune144.0ms (0.6%)

Memory
-14.9MiB live, 319.2MiB allocated
Pruning

40 alts after pruning (37 fresh and 3 done)

PrunedKeptTotal
New1 141211 162
Fresh151631
Picked325
Done011
Total1 159401 199
Accuracy
99.9%
Counts
1 199 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.0%
(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 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 n (neg.f64 n)))))
17.7%
(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))))
28.8%
(fma.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
33.2%
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n) (log.f64 x)) (neg.f64 n))
36.8%
(/.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)
▶32.2%
(/.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)
43.6%
(/.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)
26.1%
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 (log.f64 x))) n)
25.3%
(/.f64 (fma.f64 n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 n (*.f64 n n)))
5.8%
(/.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))
✓60.7%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
61.5%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
▶61.5%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
31.9%
(/.f64 (-.f64 (pow.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)))) n) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (/.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)))) n))))
40.3%
(/.f64 (-.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)))) n) n) (*.f64 n (log.f64 x))) (*.f64 n n))
22.0%
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (+.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (*.f64 (+.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 (+.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (+.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
33.9%
(/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) 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))
▶54.7%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
▶26.6%
(/.f64 (-.f64 x (log.f64 x)) n)
25.8%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
27.9%
(/.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 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) n)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))))
11.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
4.6%
(/.f64 x n)
41.7%
(/.f64 #s(literal 1 binary64) (/.f64 n (-.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)))) n) (log.f64 x))))
60.7%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))))
42.8%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
9.8%
(-.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))
30.0%
(-.f64 (fma.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (/.f64 x n) #s(literal 1/2 binary64)))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
38.0%
(-.f64 (/.f64 (+.f64 x n) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
32.1%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) n) (neg.f64 x)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
12.6%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
31.8%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) n)) n)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓58.6%
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
18.7%
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
✓42.9%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
60.6%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)))
54.9%
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
41.8%
(*.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)))) n) (log.f64 x)) (/.f64 #s(literal 1 binary64) n))
26.6%
(neg.f64 (/.f64 (log.f64 x) n))
▶31.2%
#s(literal 0 binary64)
Compiler

Compiled 2 020 to 1 079 computations (46.6% saved)

simplify399.0ms (1.5%)

Memory
19.6MiB live, 570.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.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)))))
✓cost-diff192
(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-diff320
(+.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))))
✓cost-diff320
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))
✓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)
✓cost-diff0
(log.f64 x)
✓cost-diff0
(-.f64 x (log.f64 x))
✓cost-diff0
(/.f64 (-.f64 x (log.f64 x)) n)
✓cost-diff0
(/.f64 #s(literal 1 binary64) n)
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
✓cost-diff384
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
Rules
12 742×lower-fma.f32
12 740×lower-fma.f64
2 744×lower-*.f32
2 732×lower-*.f64
2 642×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050572
090528
1150528
2269528
3569528
41185528
52536522
65282518
08297513
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) 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
#s(literal 0 binary64)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 x (log.f64 x))
x
(log.f64 x)
n
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
(/.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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
#s(literal 0 binary64)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 x (log.f64 x))
x
(log.f64 x)
n
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
(/.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 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x x)) (+.f64 (-.f64 (+.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)))) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))))) x)))) x)
(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 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x x)) (+.f64 (-.f64 (+.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)))) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))))) x))))
(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)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.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 (+.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (+.f64 (/.f64 #s(literal -11/24 binary64) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x n)) (-.f64 #s(literal -1 binary64) (/.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 n)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 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))
(*.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 binary64) (*.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 (+.f64 (/.f64 #s(literal -1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (+.f64 (/.f64 #s(literal -11/24 binary64) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x))
(/.f64 (-.f64 (+.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)))) (*.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 (+.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))))
(/.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)

localize425.0ms (1.6%)

Memory
-1.4MiB live, 270.2MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy91.2%
(*.f64 x (*.f64 n n))
✓accuracy89.3%
(/.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)))
✓accuracy85.3%
(/.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))
✓accuracy80.1%
(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))
✓accuracy100.0%
(log1p.f64 x)
✓accuracy100.0%
(log.f64 x)
✓accuracy99.7%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓accuracy60.5%
(-.f64 (log1p.f64 x) (log.f64 x))
✓accuracy100.0%
(log.f64 x)
✓accuracy100.0%
(-.f64 x (log.f64 x))
✓accuracy99.8%
(/.f64 (-.f64 x (log.f64 x)) n)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy100.0%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
✓accuracy99.9%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
Samples
129.0ms39×2valid
111.0ms66×1valid
56.0ms108×0valid
18.0ms43×0exit
Compiler

Compiled 574 to 53 computations (90.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 265.0ms
ival-div: 135.0ms (50.9% of total)
const: 43.0ms (16.2% of total)
ival-add: 30.0ms (11.3% of total)
adjust: 12.0ms (4.5% of total)
ival-pow: 12.0ms (4.5% of total)
ival-mult: 12.0ms (4.5% of total)
ival-log: 8.0ms (3% of total)
ival-log1p: 6.0ms (2.3% of total)
ival-sub: 5.0ms (1.9% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series46.0ms (0.2%)

Memory
18.3MiB live, 56.0MiB allocated
Counts
17 → 348
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)>
#<alt (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)>
#<alt (pow.f64 x (/.f64 #s(literal 1 binary64) n))>
#<alt (/.f64 #s(literal 1 binary64) n)>
#<alt (/.f64 (-.f64 x (log.f64 x)) n)>
#<alt (-.f64 x (log.f64 x))>
#<alt (log.f64 x)>
#<alt (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)>
#<alt (-.f64 (log1p.f64 x) (log.f64 x))>
#<alt (log1p.f64 x)>
#<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 (+.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))))>
#<alt (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))>
#<alt (+.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)))))>
#<alt (/.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))>
#<alt (/.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)))>
#<alt (*.f64 x (*.f64 n n))>
Outputs
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ 1 (* n x))>
#<alt (/ (+ (/ 1 x) (/ (log x) (* n x))) n)>
#<alt (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)>
#<alt (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))>
#<alt (/ (exp (/ (log x) n)) n)>
#<alt (/ (exp (/ (log x) n)) n)>
#<alt (/ (exp (/ (log x) n)) n)>
#<alt (/ (exp (/ (log x) n)) n)>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)>
#<alt (/ (exp (/ (log x) n)) n)>
#<alt (/ (exp (/ (log x) n)) n)>
#<alt (/ (exp (/ (log x) n)) n)>
#<alt (/ (exp (/ (log x) n)) n)>
#<alt (/ 1 n)>
#<alt (/ (+ 1 (/ (log x) n)) n)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) n)>
#<alt (/ (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) n)>
#<alt (/ 1 n)>
#<alt (* -1 (/ (- (* -1 (/ (log x) n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n))) n)) 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)))>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (* -1 (/ (log x) n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (/ x n)>
#<alt (* x (+ (/ 1 n) (/ (log (/ 1 x)) (* n x))))>
#<alt (* x (+ (/ 1 n) (/ (log (/ 1 x)) (* n x))))>
#<alt (* x (+ (/ 1 n) (/ (log (/ 1 x)) (* n x))))>
#<alt (/ x n)>
#<alt (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (/ 1 n))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (/ 1 n))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (/ 1 n))))>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- x (log x)) n)>
#<alt (* -1 (log x))>
#<alt (- x (log x))>
#<alt (- x (log x))>
#<alt (- x (log x))>
#<alt x>
#<alt (* x (+ 1 (/ (log (/ 1 x)) x)))>
#<alt (* x (+ 1 (/ (log (/ 1 x)) x)))>
#<alt (* x (+ 1 (/ (log (/ 1 x)) x)))>
#<alt x>
#<alt (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) x)) (/ (log -1) x)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) x)) (/ (log -1) x)) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (log (/ -1 x)) x)) (/ (log -1) x)) 1)))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (* -1 (/ (log x) n))>
#<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))>
#<alt (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)>
#<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))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<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)>
#<alt (/ (- 1 (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x))>
#<alt (/ 1/2 (* (pow n 2) x))>
#<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)>
#<alt (/ (- (* 1/2 (/ 1 (* n x))) (* 1/2 (/ 1 x))) n)>
#<alt (/ (- (* 1/2 (/ 1 (* n x))) (* 1/2 (/ 1 x))) n)>
#<alt (/ -1/2 (* n x))>
#<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 (/ 1/24 (* (pow n 4) (pow x 3)))>
#<alt (/ (+ (* n (- (* 1/6 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 3))))) (* 1/24 (/ 1 (pow x 3)))) (pow n 4))>
#<alt (/ (+ (* n (- (+ (* 1/6 (/ 1 (pow x 2))) (* n (- (* 11/24 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 2)))))) (* 1/4 (/ 1 (pow x 3))))) (* 1/24 (/ 1 (pow x 3)))) (pow n 4))>
#<alt (/ (+ (* n (- (+ (* 1/6 (/ 1 (pow x 2))) (* n (- (+ (* 11/24 (/ 1 (pow x 3))) (* n (- (* 1/3 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 3)))))) (* 1/2 (/ 1 (pow x 2)))))) (* 1/4 (/ 1 (pow x 3))))) (* 1/24 (/ 1 (pow x 3)))) (pow n 4))>
#<alt (/ (- (* 1/3 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 3)))) n)>
#<alt (/ (- (+ (* 1/3 (/ 1 (pow x 2))) (/ 11/24 (* n (pow x 3)))) (+ (* 1/4 (/ 1 (pow x 3))) (/ 1/2 (* n (pow x 2))))) n)>
#<alt (/ (- (+ (* 1/3 (/ 1 (pow x 2))) (+ (/ 11/24 (* n (pow x 3))) (* 1/6 (/ 1 (* (pow n 2) (pow x 2)))))) (+ (* 1/4 (/ 1 (pow x 3))) (+ (/ 1/2 (* n (pow x 2))) (* 1/4 (/ 1 (* (pow n 2) (pow x 3))))))) n)>
#<alt (/ (- (+ (* 1/3 (/ 1 (pow x 2))) (+ (/ 11/24 (* n (pow x 3))) (+ (* 1/6 (/ 1 (* (pow n 2) (pow x 2)))) (* 1/24 (/ 1 (* (pow n 3) (pow x 3))))))) (+ (* 1/4 (/ 1 (pow x 3))) (+ (/ 1/2 (* n (pow x 2))) (* 1/4 (/ 1 (* (pow n 2) (pow x 3))))))) n)>
#<alt (* -1 (/ (- (* 1/4 (/ 1 (pow x 3))) (* 1/3 (/ 1 (pow x 2)))) n))>
#<alt (* -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))>
#<alt (* -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))>
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#<alt (* -1 (/ (- (* 1/4 (/ 1 (pow x 3))) (* 11/24 (/ 1 (* n (pow x 3))))) n))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 11/24 (/ 1 (pow x 3))) (* 1/4 (/ 1 (* n (pow x 3))))) n)) (* 1/4 (/ 1 (pow x 3)))) n))>
#<alt (* -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))>
#<alt (/ (- (+ (* 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))>
#<alt (/ (- (+ (* 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))>
#<alt (/ (- (+ (* 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))>
#<alt (/ (- (+ (* 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))>
#<alt (/ (- (+ (* 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))>
#<alt (/ (- (+ (* 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))>
#<alt (/ (- (+ (* 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))>
#<alt (/ (- (+ (* 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))>
#<alt (/ (- (+ (* 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))>
#<alt (/ (- (+ (* 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))>
#<alt (/ (- (+ (* 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))>
#<alt (/ (- (+ (* 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))>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
#<alt (* (pow n 2) x)>
Calls

87 calls:

TimeVariablePointExpression
10.0ms
n
@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))
2.0ms
x
@0
(+ (/ (+ (/ 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))))
2.0ms
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))
2.0ms
x
@inf
(+ (/ (+ (/ 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))))
2.0ms
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))

rewrite541.0ms (2.1%)

Memory
14.2MiB live, 408.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 536×lower-*.f32
5 524×lower-*.f64
3 810×lower-fma.f32
3 808×lower-fma.f64
3 354×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048312
087288
1422285
25534285
08546257
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 544
Calls
Call 1
Inputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 x (log.f64 x))
(log.f64 x)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
(-.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))))
(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 (-.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 1/6 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 x (*.f64 n n))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (neg.f64 n)) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (neg.f64 n)) (neg.f64 x))
(/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 x (neg.f64 n)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (*.f64 x n))
(/.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)) (*.f64 x (neg.f64 n)))
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) n)
(/.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(pow.f64 (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (neg.f64 n)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(*.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (*.f64 x n)))
(*.f64 (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) x) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) n))
(*.f64 (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) n) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) x))
(*.f64 (pow.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (pow.f64 (/.f64 x (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(exp.f64 (*.f64 (log.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (neg.f64 n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (neg.f64 n))
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) n)
(/.f64 (neg.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (neg.f64 n)))
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) (neg.f64 n))
(pow.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(*.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) n))
(*.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (*.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 (log.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) (/.f64 #s(literal 1 binary64) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(pow.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(pow.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(pow.f64 (pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (pow.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 n)))
(/.f64 #s(literal -1 binary64) (neg.f64 n))
(pow.f64 n #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 n)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 n)))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 n (*.f64 n n)))) (+.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 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 n (*.f64 n n)))) (+.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)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 n (*.f64 n n)))) (+.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) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/13824 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))))) (pow.f64 (+.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)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.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 (+.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) (*.f64 n (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 n (*.f64 n (*.f64 n n))))))))
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 n (*.f64 n (*.f64 n n))))) (*.f64 (+.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 (/.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))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 n (*.f64 n n)))) (+.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 n n))
(*.f64 n (*.f64 x n))
(*.f64 (*.f64 n n) x)
(*.f64 (*.f64 x n) n)

simplify600.0ms (2.3%)

Memory
-38.7MiB live, 687.5MiB allocated
Algorithm
1×egg-herbie
Rules
8 674×lower-fma.f64
8 674×lower-fma.f32
5 468×lower-+.f64
5 468×lower-+.f32
3 654×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07846785
124626542
275636505
081196384
Stop Event
1×iter limit
1×node limit
Counts
348 → 345
Calls
Call 1
Inputs
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(/ (exp (/ (log x) n)) (* n x))
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(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
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1
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1
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(/ (+ (* x (+ (* x (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n))) (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))))) (* (exp (/ (log 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))
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(/ 1/24 (* (pow n 4) (pow x 3)))
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(/ (+ (* n (- (+ (* 1/6 (/ 1 (pow x 2))) (* n (- (+ (* 11/24 (/ 1 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* n (- (* 1/3 (/ 1 (pow x 2))) (+ (* 1/4 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))))) (* 1/2 (/ 1 (pow x 2)))))) (* 1/4 (/ 1 (pow x 3))))) (* 1/24 (/ 1 (pow x 3)))) (pow n 4))
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(/ 1/3 (* n (pow x 2)))
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(/ (- (+ (/ 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)))
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(* -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))
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(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
(* (pow n 2) x)
Outputs
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (*.f64 x n))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (*.f64 x n))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (*.f64 x n))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (*.f64 x n))
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
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(* -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))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 x n)))) (/.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 n n))))))) n)) (neg.f64 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))
(/.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)))
(/ (- (+ (* 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))
(/.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)))
(/ (- (+ (* 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))
(/.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)))
(/ (- (+ (* 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))
(/.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)))
(/ (- (+ (* 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))
(/.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)))
(/ (- (+ (* 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))
(/.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)))
(/ (- (+ (* 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))
(/.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)))
(/ (- (+ (* 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))
(/.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)))
(/ (- (+ (* 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))
(/.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)))
(/ (- (+ (* 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))
(/.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)))
(/ (- (+ (* 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))
(/.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)))
(/ (- (+ (* 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))
(/.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)))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))
(* (pow n 2) x)
(*.f64 x (*.f64 n n))

eval591.0ms (2.3%)

Memory
14.0MiB live, 321.2MiB allocated
Compiler

Compiled 74 143 to 3 367 computations (95.5% saved)

prune472.0ms (1.8%)

Memory
-4.8MiB live, 358.4MiB allocated
Pruning

46 alts after pruning (39 fresh and 7 done)

PrunedKeptTotal
New1 091191 110
Fresh122032
Picked145
Done033
Total1 104461 150
Accuracy
99.9%
Counts
1 150 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.7%
(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))))
28.8%
(fma.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
39.2%
(fma.f64 x (/.f64 (neg.f64 (log.f64 x)) (*.f64 x n)) (/.f64 x n))
33.2%
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n) (log.f64 x)) (neg.f64 n))
36.8%
(/.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)
25.3%
(/.f64 (fma.f64 n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 n (*.f64 n n)))
5.8%
(/.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))
✓60.7%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
18.7%
(/.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (/.f64 x n) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.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 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.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))) x)
✓61.5%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
49.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
28.9%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
29.0%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
29.2%
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x))) x))) (neg.f64 x)) n)
43.4%
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
43.4%
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
22.0%
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (+.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (*.f64 (+.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 (+.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (+.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
30.8%
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 x (log.f64 x))))
25.2%
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (*.f64 n n))
✓54.7%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓26.6%
(/.f64 (-.f64 x (log.f64 x)) n)
25.8%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
36.1%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
32.2%
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.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) (*.f64 n (*.f64 n (*.f64 n n)))) (+.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))))))) x)
11.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
54.6%
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
26.6%
(/.f64 (neg.f64 (log.f64 x)) n)
54.6%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
4.6%
(/.f64 x n)
26.6%
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
60.7%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))))
42.8%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
9.8%
(-.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))
30.0%
(-.f64 (fma.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (/.f64 x n) #s(literal 1/2 binary64)))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
38.0%
(-.f64 (/.f64 (+.f64 x n) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
32.1%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) n) (neg.f64 x)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
12.6%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
31.8%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) n)) n)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓58.6%
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
18.7%
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
✓42.9%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
28.3%
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x n))))
60.6%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)))
26.6%
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
48.9%
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
✓31.2%
#s(literal 0 binary64)
Compiler

Compiled 2 931 to 904 computations (69.2% saved)

regimes178.0ms (0.7%)

Memory
37.3MiB live, 232.2MiB allocated
Counts
87 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) 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)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x))) x))) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.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)) (neg.f64 (log.f64 x))) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #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 (+.f64 x n) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (*.f64 n n))
(-.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))))
(fma.f64 x (/.f64 (neg.f64 (log.f64 x)) (*.f64 x n)) (/.f64 x n))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) n) (neg.f64 x)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
(-.f64 (fma.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (/.f64 x n) #s(literal 1/2 binary64)))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 n (*.f64 n #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) n)) (*.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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) n)) n)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 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 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 x (log.f64 x))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (neg.f64 (log.f64 x))) n)
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n) (log.f64 x)) (neg.f64 n))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(/.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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.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) (*.f64 n (*.f64 n (*.f64 n n)))) (+.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))))))) x)
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) x)) (neg.f64 n))
(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 (fma.f64 n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 n (*.f64 n n)))
(/.f64 (exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) n)) (*.f64 (*.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(neg.f64 (/.f64 (neg.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)))) n) (log.f64 x))) n))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x)) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 n (-.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)))) n) (log.f64 x))))
(/.f64 (-.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)))) n) n) (*.f64 n (log.f64 x))) (*.f64 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 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (+.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (*.f64 (+.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))) (*.f64 (+.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (+.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.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))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 2 binary64) n))) (*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
(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 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 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 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (*.f64 (neg.f64 n) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (*.f64 (neg.f64 n) (neg.f64 n)))
(/.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (/.f64 x n) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.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 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.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))) x)
(/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (*.f64 (+.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 x (/.f64 #s(literal 2 binary64) n)))) (pow.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 2 binary64)))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
(/.f64 (-.f64 (pow.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)))) n) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (/.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)))) n))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64))) (*.f64 (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 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) n)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

86.0ms
n
38.0ms
(/.f64 #s(literal 1 binary64) n)
27.0ms
x
22.0ms
(-.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
87.0%3x
86.9%3n
85.6%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
88.3%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes20.0ms (0.1%)

Memory
-0.5MiB live, 41.9MiB allocated
Counts
55 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) 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)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x))) x))) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.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)) (neg.f64 (log.f64 x))) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #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 (+.f64 x n) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (*.f64 n n))
(-.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))))
(fma.f64 x (/.f64 (neg.f64 (log.f64 x)) (*.f64 x n)) (/.f64 x n))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) n) (neg.f64 x)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
(-.f64 (fma.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (/.f64 x n) #s(literal 1/2 binary64)))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 n (*.f64 n #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) n)) (*.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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) n)) n)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 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)
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

18.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
88.2%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes64.0ms (0.2%)

Memory
-13.8MiB live, 146.6MiB allocated
Counts
49 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) 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)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x))) x))) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.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)) (neg.f64 (log.f64 x))) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #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 (+.f64 x n) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (*.f64 n n))
(-.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))))
(fma.f64 x (/.f64 (neg.f64 (log.f64 x)) (*.f64 x n)) (/.f64 x n))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) n) (neg.f64 x)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
(-.f64 (fma.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (/.f64 x n) #s(literal 1/2 binary64)))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 (fma.f64 n (*.f64 n #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) n)) (*.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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x) n)) n)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(-.f64 (fma.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (/.f64 x n) #s(literal 1/2 binary64)))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

16.0ms
(/.f64 #s(literal 1 binary64) n)
15.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
14.0ms
x
14.0ms
n
Results
AccuracySegmentsBranch
82.2%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)))
84.9%4n
82.4%3x
84.9%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes15.0ms (0.1%)

Memory
-9.3MiB live, 29.8MiB 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) 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)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x))) x))) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.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)) (neg.f64 (log.f64 x))) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #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 (+.f64 x n) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (*.f64 n n))
(-.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))))
(fma.f64 x (/.f64 (neg.f64 (log.f64 x)) (*.f64 x n)) (/.f64 x n))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) n) (neg.f64 x)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(-.f64 (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

13.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
83.7%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes27.0ms (0.1%)

Memory
22.4MiB live, 60.3MiB allocated
Counts
40 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) 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)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x))) x))) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.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)) (neg.f64 (log.f64 x))) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #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 (+.f64 x n) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (*.f64 n n))
(-.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))))
(fma.f64 x (/.f64 (neg.f64 (log.f64 x)) (*.f64 x n)) (/.f64 x n))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) n) (neg.f64 x)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) n) (neg.f64 x)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
Calls

2 calls:

13.0ms
(/.f64 #s(literal 1 binary64) n)
12.0ms
n
Results
AccuracySegmentsBranch
84.9%5n
84.9%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes14.0ms (0.1%)

Memory
-9.9MiB live, 29.1MiB allocated
Counts
39 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) 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)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x))) x))) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.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)) (neg.f64 (log.f64 x))) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #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 (+.f64 x n) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (*.f64 n n))
(-.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))))
(fma.f64 x (/.f64 (neg.f64 (log.f64 x)) (*.f64 x n)) (/.f64 x n))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(-.f64 (/.f64 (+.f64 x n) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
Calls

1 calls:

12.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.4%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes15.0ms (0.1%)

Memory
-6.1MiB live, 36.9MiB allocated
Counts
37 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) 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)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x))) x))) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.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)) (neg.f64 (log.f64 x))) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #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 (+.f64 x n) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (*.f64 n n))
(-.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(-.f64 (/.f64 (+.f64 x n) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
Calls

1 calls:

13.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.4%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0.1%)

Memory
-4.0MiB live, 34.9MiB 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) 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)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x))) x))) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.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)) (neg.f64 (log.f64 x))) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #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 (+.f64 x n) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (*.f64 x n) (*.f64 n (log.f64 x))) (*.f64 n n))
(-.f64 (fma.f64 x (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(-.f64 (/.f64 (+.f64 x n) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
Calls

1 calls:

12.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.4%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
32 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) 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)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x))) x))) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.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)) (neg.f64 (log.f64 x))) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #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)))
Outputs
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
Calls

1 calls:

10.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.4%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0%)

Memory
-13.9MiB live, 24.0MiB allocated
Counts
30 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) 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)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x))) x))) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.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)) (neg.f64 (log.f64 x))) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #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 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
Calls

1 calls:

11.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.3%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes41.0ms (0.2%)

Memory
-8.9MiB live, 71.3MiB allocated
Counts
29 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) 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)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x))) x))) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.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)) (neg.f64 (log.f64 x))) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
Outputs
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

12.0ms
x
12.0ms
n
9.0ms
(/.f64 #s(literal 1 binary64) n)
7.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
66.6%3n
78.7%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)))
68.2%6x
69.3%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes8.0ms (0%)

Memory
19.3MiB live, 19.3MiB 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) 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)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x))) x))) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.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)) (neg.f64 (log.f64 x))) 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

1 calls:

7.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
78.7%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 15 to 8 computations (46.7% saved)

regimes36.0ms (0.1%)

Memory
5.6MiB live, 82.9MiB allocated
Counts
26 → 6
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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) 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)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x))) x))) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
Outputs
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(neg.f64 (/.f64 (log.f64 x) n))
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
#s(literal 0 binary64)
Calls

4 calls:

9.0ms
n
9.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
8.0ms
x
8.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
68.0%6x
58.8%4n
58.6%4(/.f64 #s(literal 1 binary64) n)
56.9%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes10.0ms (0%)

Memory
-11.3MiB live, 27.4MiB allocated
Counts
25 → 6
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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) 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)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x))) x))) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 x (log.f64 x)))
Outputs
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(neg.f64 (/.f64 (log.f64 x) n))
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
#s(literal 0 binary64)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
68.0%6x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0%)

Memory
-16.6MiB live, 26.1MiB allocated
Counts
22 → 6
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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) 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)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x))) x))) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
#s(literal 0 binary64)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
65.0%6x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0%)

Memory
28.1MiB live, 28.1MiB allocated
Counts
21 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) 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)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x))) x))) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(neg.f64 (/.f64 (log.f64 x) 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)
#s(literal 0 binary64)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
61.6%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes26.0ms (0.1%)

Memory
-4.4MiB live, 73.9MiB allocated
Counts
18 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) 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)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (neg.f64 x))) x))) (neg.f64 x)) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x)
Outputs
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
#s(literal 0 binary64)
Calls

4 calls:

7.0ms
(/.f64 #s(literal 1 binary64) n)
7.0ms
x
6.0ms
n
5.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
49.5%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)))
49.5%1(/.f64 #s(literal 1 binary64) n)
49.5%1n
53.8%2x
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes17.0ms (0.1%)

Memory
0.0MiB live, 39.2MiB allocated
Counts
11 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x 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))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
#s(literal 0 binary64)
Calls

4 calls:

5.0ms
n
4.0ms
(/.f64 #s(literal 1 binary64) n)
4.0ms
x
3.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
43.4%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
47.4%2(/.f64 #s(literal 1 binary64) n)
48.3%3n
47.7%2x
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes9.0ms (0%)

Memory
-30.1MiB live, 14.1MiB allocated
Counts
5 → 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 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x n))
#s(literal 0 binary64)
Calls

2 calls:

6.0ms
(/.f64 #s(literal 1 binary64) n)
2.0ms
x
Results
AccuracySegmentsBranch
46.8%2(/.f64 #s(literal 1 binary64) n)
47.3%2x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes8.0ms (0%)

Memory
19.2MiB live, 19.2MiB allocated
Accuracy

Total -17.9b remaining (-40.6%)

Threshold costs -17.9b (-40.6%)

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 #s(literal 1 binary64) n)
2.0ms
x
2.0ms
n
2.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
31.2%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
31.2%1n
31.2%1(/.f64 #s(literal 1 binary64) n)
31.2%1x
Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.219640988749576e-20
6.158125062249297e-20
0.0ms
-4.7078829634980316e-14
-1.6824136270706151e-19
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
5.1962664609418694e-17
2.3944778613032832e-8
0.0ms
-4.7078829634980316e-14
-1.6824136270706151e-19
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
5.1962664609418694e-17
2.3944778613032832e-8
0.0ms
-4.7078829634980316e-14
-1.6824136270706151e-19
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
5.1962664609418694e-17
2.3944778613032832e-8
0.0ms
-4.7078829634980316e-14
-1.6824136270706151e-19
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.3378667191170714e+223
1.5884112655292545e+224
0.0ms
5.1962664609418694e-17
2.3944778613032832e-8
0.0ms
-4.7078829634980316e-14
-1.6824136270706151e-19
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
4.285134310040003e+202
9.669088728027917e+220
0.0ms
5.1962664609418694e-17
2.3944778613032832e-8
0.0ms
-4.7078829634980316e-14
-1.6824136270706151e-19
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
4.285134310040003e+202
9.669088728027917e+220
0.0ms
5.1962664609418694e-17
2.3944778613032832e-8
0.0ms
-4.7078829634980316e-14
-1.6824136270706151e-19
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
4.285134310040003e+202
9.669088728027917e+220
0.0ms
5.1962664609418694e-17
2.3944778613032832e-8
0.0ms
-4.7078829634980316e-14
-1.6824136270706151e-19
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
4.285134310040003e+202
9.669088728027917e+220
0.0ms
5.1962664609418694e-17
2.3944778613032832e-8
0.0ms
-4.7078829634980316e-14
-1.6824136270706151e-19
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.5086242945612526e+165
4.348061255049995e+166
0.0ms
5.1962664609418694e-17
2.3944778613032832e-8
0.0ms
-4.7078829634980316e-14
-1.6824136270706151e-19
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0
9.643827099115043e-7
0.0ms
-inf
0.0
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0
9.643827099115043e-7
0.0ms
-inf
0.0
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch160.0ms (0.6%)

Memory
-20.8MiB live, 208.3MiB allocated
Algorithm
5×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
30.0ms
8.471943585747632e+80
7.96484747401375e+82
34.0ms
2.9135984112346218e-5
78.93730626203698
29.0ms
7.277638276386476e-61
2.3587155647359924e-59
32.0ms
1.371478766699579e-175
5.241578513277408e-174
22.0ms
4.688423661873881e-235
6.594442603144522e-235
Samples
59.0ms137×2valid
43.0ms202×1valid
17.0ms203×0valid
2.0ms26×0exit
1.0ms2×3valid
0.0ms1×1exit
Compiler

Compiled 1 070 to 759 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-pow: 71.0ms (69.3% of total)
adjust: 10.0ms (9.8% of total)
ival-div: 8.0ms (7.8% of total)
ival-sub: 7.0ms (6.8% of total)
ival-add: 5.0ms (4.9% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Algorithm
5×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
8.471943585747632e+80
7.96484747401375e+82
1.0ms
2.9135984112346218e-5
78.93730626203698
1.0ms
7.277638276386476e-61
2.3587155647359924e-59
1.0ms
1.371478766699579e-175
5.241578513277408e-174
0.0ms
4.688423661873881e-235
6.594442603144522e-235
Compiler

Compiled 1 038 to 727 computations (30% saved)

bsearch34.0ms (0.1%)

Memory
-5.5MiB live, 31.3MiB allocated
Algorithm
5×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
8.471943585747632e+80
7.96484747401375e+82
1.0ms
2.9135984112346218e-5
78.93730626203698
1.0ms
7.277638276386476e-61
2.3587155647359924e-59
1.0ms
1.371478766699579e-175
5.241578513277408e-174
24.0ms
8.465816724104253e-265
2.022362409844416e-264
Samples
14.0ms50×1valid
6.0ms13×2valid
2.0ms17×0valid
Compiler

Compiled 1 046 to 735 computations (29.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-pow: 14.0ms (75.4% of total)
adjust: 2.0ms (10.8% of total)
ival-add: 1.0ms (5.4% of total)
ival-div: 1.0ms (5.4% of total)
ival-sub: 1.0ms (5.4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
8.471943585747632e+80
7.96484747401375e+82
1.0ms
1.371478766699579e-175
5.241578513277408e-174
0.0ms
8.465816724104253e-265
2.022362409844416e-264
Compiler

Compiled 406 to 311 computations (23.4% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
8.471943585747632e+80
7.96484747401375e+82
Compiler

Compiled 158 to 125 computations (20.9% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
8.471943585747632e+80
7.96484747401375e+82
Compiler

Compiled 102 to 83 computations (18.6% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
8.471943585747632e+80
7.96484747401375e+82
Compiler

Compiled 102 to 83 computations (18.6% saved)

simplify71.0ms (0.3%)

Memory
17.2MiB live, 61.4MiB allocated
Algorithm
1×egg-herbie
Rules
468×distribute-lft-neg-in_binary64
374×neg-mul-1_binary64
320×cancel-sign-sub_binary64
296×neg-sub0_binary64
270×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0156948
1215948
2289936
3377936
4533936
5757936
6922936
71161936
81435936
91701936
101874936
111923936
121930936
131931936
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6646139978924579/166153499473114484112975882535043072 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) 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 -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (-.f64 (fma.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (/.f64 x n) #s(literal 1/2 binary64)))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (-.f64 (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 20000000000000000932036143496413951368101716198987537228419609160373655626461725991455354244283914246420679531919709797306345233320137961827212441949852868811748602547346324437989744117901104766529194715431204855687099187200 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) n) (neg.f64 x)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 49999999999999999438455393753164723825467229914774961498751742442014630591180933422221348473000344922592960267277821122740746306537869061820762693597271311957371597483119525588936543990108212932301029376 binary64)) (-.f64 (/.f64 (+.f64 x n) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 49999999999999999438455393753164723825467229914774961498751742442014630591180933422221348473000344922592960267277821122740746306537869061820762693597271311957371597483119525588936543990108212932301029376 binary64)) (-.f64 (/.f64 (+.f64 x n) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 49999999999999999438455393753164723825467229914774961498751742442014630591180933422221348473000344922592960267277821122740746306537869061820762693597271311957371597483119525588936543990108212932301029376 binary64)) (-.f64 (/.f64 (+.f64 x n) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 49999999999999999438455393753164723825467229914774961498751742442014630591180933422221348473000344922592960267277821122740746306537869061820762693597271311957371597483119525588936543990108212932301029376 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1999999999999999798979786903666969854466916799481080840673902677711040714250088565232575140693526241793157170355409742782458394948128134392996529547214203115089690624 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64)))))
(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 -inf.0 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 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (-.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 -inf.0 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 1789931494904685/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 3675794442908507/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 2894802230932905/3618502788666131106986593281521497120414687020801267626233049500247285301248 binary64)) (neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))) (if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 x (log.f64 x)))) (if (<=.f64 x #s(literal 6400000000000000001703031341335505698393753675596851782280446557023344570644037632 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x) #s(literal 0 binary64))))))
(if (<=.f64 x #s(literal 1789931494904685/3579862989809370150552347991709354811340217396521331566180181212788883000669113019918160533228078546928669938652374965009299607594634172087555628255195572452564109288497401512783350157684872347030630001028968155934491319200842197951919848388309286912 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 3675794442908507/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 2894802230932905/3618502788666131106986593281521497120414687020801267626233049500247285301248 binary64)) (neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))) (if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 6400000000000000001703031341335505698393753675596851782280446557023344570644037632 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x) #s(literal 0 binary64))))))
(if (<=.f64 x #s(literal 3857313147601671/4538015467766671944574165338592225830478699345884382504442663144885072806275648112625635725391102144133907238129251016389326737199538896813326509341743147661691195191795226666084858428449394948944821764472508048114220424520501343042471615418544488778723282182172070046459244838912 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (if (<=.f64 x #s(literal 3675794442908507/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 2894802230932905/3618502788666131106986593281521497120414687020801267626233049500247285301248 binary64)) (neg.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))) (if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 6400000000000000001703031341335505698393753675596851782280446557023344570644037632 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.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))))) n) x) #s(literal 0 binary64))))))
(if (<=.f64 x #s(literal 3857313147601671/4538015467766671944574165338592225830478699345884382504442663144885072806275648112625635725391102144133907238129251016389326737199538896813326509341743147661691195191795226666084858428449394948944821764472508048114220424520501343042471615418544488778723282182172070046459244838912 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (if (<=.f64 x #s(literal 3675794442908507/1113877103911668754551067286547922686741510866027480451801560673315252726369306002564920119950530126899082595110740822097336109551117050292542153642510306198303709637294986560078826707091456 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 6400000000000000001703031341335505698393753675596851782280446557023344570644037632 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) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 6400000000000000001703031341335505698393753675596851782280446557023344570644037632 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) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 6400000000000000001703031341335505698393753675596851782280446557023344570644037632 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 6400000000000000001703031341335505698393753675596851782280446557023344570644037632 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6646139978924579/166153499473114484112975882535043072 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) 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 -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 n x) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6646139978924579/166153499473114484112975882535043072 binary64)) (/.f64 (log.f64 (/.f64 x (+.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)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 n x) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (-.f64 (fma.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (/.f64 x n) #s(literal 1/2 binary64)))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 n x) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (-.f64 (fma.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (/.f64 x n) #s(literal 1/2 binary64)))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 n x) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (-.f64 (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 20000000000000000932036143496413951368101716198987537228419609160373655626461725991455354244283914246420679531919709797306345233320137961827212441949852868811748602547346324437989744117901104766529194715431204855687099187200 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) n) (neg.f64 x)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64)))))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (pow.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 49999999999999999438455393753164723825467229914774961498751742442014630591180933422221348473000344922592960267277821122740746306537869061820762693597271311957371597483119525588936543990108212932301029376 binary64)) (-.f64 (/.f64 (+.f64 x n) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64)))))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 49999999999999999438455393753164723825467229914774961498751742442014630591180933422221348473000344922592960267277821122740746306537869061820762693597271311957371597483119525588936543990108212932301029376 binary64)) (-.f64 (/.f64 (+.f64 n x) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (exp.f64 (/.f64 x n)) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 49999999999999999438455393753164723825467229914774961498751742442014630591180933422221348473000344922592960267277821122740746306537869061820762693597271311957371597483119525588936543990108212932301029376 binary64)) (-.f64 (/.f64 (+.f64 x n) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 49999999999999999438455393753164723825467229914774961498751742442014630591180933422221348473000344922592960267277821122740746306537869061820762693597271311957371597483119525588936543990108212932301029376 binary64)) (-.f64 (/.f64 (+.f64 n x) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (exp.f64 (/.f64 x n)) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 49999999999999999438455393753164723825467229914774961498751742442014630591180933422221348473000344922592960267277821122740746306537869061820762693597271311957371597483119525588936543990108212932301029376 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6338253001141147/158456325028528675187087900672 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/20282409603651670423947251286016 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 49999999999999999438455393753164723825467229914774961498751742442014630591180933422221348473000344922592960267277821122740746306537869061820762693597271311957371597483119525588936543990108212932301029376 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (exp.f64 (/.f64 x n)) #s(literal -1 binary64)))))
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#s(literal 0 binary64)

soundness1.9s (7.1%)

Memory
49.4MiB live, 1 358.4MiB allocated
Rules
13 074×lower-fma.f64
13 074×lower-fma.f32
12 554×lower-fma.f64
12 554×lower-fma.f32
8 674×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07846785
124626542
275636505
081196384
03674671
110944457
230504349
083044183
0159814514
1515813779
0814912851
028160
051160
1186158
21371158
08098158
02631714
17611578
221161504
374551498
087361380
0831
01331
16331
240731
3433531
0843327
048312
087288
1422285
25534285
08546257
Stop Event
1×fuel
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×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 2 284 to 1 072 computations (53.1% saved)

preprocess142.0ms (0.5%)

Memory
-17.1MiB live, 234.1MiB allocated
Compiler

Compiled 1 906 to 324 computations (83% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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