2nthrt (problem 3.4.6)

Time bar (total: 24.3s)

analyze187.0ms (0.8%)

Memory
4.5MiB live, 314.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.5%62.4%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
45.2%43.7%53.1%0.1%0%3.1%0%7
45.2%43.7%53.1%0.1%0%3.1%0%8
50.8%46.8%45.3%0.1%0%7.8%0%9
50.8%46.8%45.3%0.1%0%7.8%0%10
53.9%48.4%41.4%0.1%0%10.1%0%11
53.9%48.4%41.4%0.1%0%10.1%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample13.4s (55.2%)

Memory
-358.9MiB live, 16 958.8MiB allocated
Samples
8.4s4 857×5exit
1.7s2 769×2valid
990.0ms2 855×1valid
386.0ms2 290×1exit
370.0ms2 622×0valid
170.0ms1 499×0exit
30.0ms89×2exit
19.0ms4exit
7.0ms3exit
4.0ms10×3valid
Precisions
Click to see histograms. Total time spent on operations: 10.9s
ival-pow: 8.9s (82.2% of total)
adjust: 692.0ms (6.4% of total)
ival-div: 586.0ms (5.4% of total)
ival-add: 346.0ms (3.2% of total)
ival-sub: 252.0ms (2.3% of total)
exact: 32.0ms (0.3% of total)
ival-true: 14.0ms (0.1% of total)
ival-assert: 6.0ms (0.1% of total)
Bogosity

preprocess30.0ms (0.1%)

Memory
2.6MiB live, 40.9MiB allocated
Algorithm
egg-herbie
Rules
140×sub-neg
86×unsub-neg
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
80×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02588
14882
210180
317480
427280
539980
650480
756480
865180
968180
1069780
0813
11313
21713
32313
43113
54613
67813
710213
814513
916013
1016813
016813
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Call 2
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n))))
(neg (- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n))))
(neg (- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n)))))
(- (pow (+ n 1) (/ 1 x)) (pow n (/ 1 x)))
Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (- 1 x) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n))))
(- (pow (+ x 1) (/ -1 n)) (pow x (/ -1 n)))
(neg (- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n))))
(- (pow (neg x) (/ 1 n)) (pow (- 1 x) (/ 1 n)))
(neg (- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n)))))
(- (pow x (/ -1 n)) (pow (+ x 1) (/ -1 n)))
(- (pow (+ n 1) (/ 1 x)) (pow n (/ 1 x)))
(- (pow (+ 1 n) (/ 1 x)) (pow n (/ 1 x)))

explain270.0ms (1.1%)

Memory
3.6MiB live, 277.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1260-0-(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
3326(1.2325747023034154e-148 -6.922398405189634e-106)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)))cancellation1261
pow.f64(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))sensitivity590
Confusion
Predicted +Predicted -
+1380
-4771
Precision
0.745945945945946
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13800
-47170
Precision?
0.7419354838709677
Recall?
1.0
Freqs
test
numberfreq
071
1185
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
97.0ms172×2valid
61.0ms252×1valid
7.0ms88×0valid
Compiler

Compiled 102 to 36 computations (64.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-pow: 82.0ms (58.6% of total)
ival-div: 31.0ms (22.2% of total)
adjust: 14.0ms (10% of total)
ival-add: 6.0ms (4.3% of total)
ival-sub: 5.0ms (3.6% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.2%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify8.0ms (0%)

Memory
10.3MiB live, 10.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize135.0ms (0.6%)

Memory
9.8MiB live, 86.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy87.7%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy54.5%
(-.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
76.0ms86×2valid
43.0ms126×1valid
4.0ms44×0valid
Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-pow: 94.0ms (85.7% of total)
ival-div: 5.0ms (4.6% of total)
adjust: 4.0ms (3.6% of total)
ival-add: 3.0ms (2.7% of total)
ival-sub: 3.0ms (2.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0%)

Memory
9.8MiB live, 9.8MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))>
#<alt (pow (+ x 1) (/ 1 n))>
#<alt (+ x 1)>
#<alt (/ 1 n)>
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)>
Calls

18 calls:

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

rewrite460.0ms (1.9%)

Memory
-23.2MiB live, 292.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 822×accelerator-lowering-fma.f32
3 822×accelerator-lowering-fma.f64
3 746×*-lowering-*.f32
3 746×*-lowering-*.f64
3 490×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
15826
240226
3432426
0839922
Stop Event
iter limit
node limit
Counts
4 → 271
Calls
Call 1
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
(/ 1 n)
Outputs
(+.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 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(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)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))))
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(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
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(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
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(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
(exp.f64 (neg.f64 (log.f64 n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 n #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 n n)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 n) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) n))
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(fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) n)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (pow.f64 n #s(literal -1/2 binary64)) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(neg.f64 (/.f64 #s(literal -1 binary64) n))
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(/.f64 #s(literal -1 binary64) (neg.f64 n))
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(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) n))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) n) (/.f64 #s(literal 2 binary64) n)) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) n))) (*.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) n) (*.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 n #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) n)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 n #s(literal 2 binary64)) (*.f64 n #s(literal 2 binary64))) (*.f64 (*.f64 n #s(literal 2 binary64)) (*.f64 n #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) n))) (*.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -2 binary64)))
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(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 n #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) n) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) n) (*.f64 n #s(literal 2 binary64))))
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))
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(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) n))
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))

simplify572.0ms (2.4%)

Memory
40.8MiB live, 634.1MiB allocated
Algorithm
egg-herbie
Rules
11 538×accelerator-lowering-fma.f32
11 538×accelerator-lowering-fma.f64
4 136×*-lowering-*.f32
4 136×*-lowering-*.f64
3 354×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

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

eval62.0ms (0.3%)

Memory
8.9MiB live, 125.6MiB allocated
Compiler

Compiled 10 883 to 1 274 computations (88.3% saved)

prune63.0ms (0.3%)

Memory
-30.4MiB live, 167.5MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New39713410
Fresh000
Picked101
Done000
Total39813411
Accuracy
99.8%
Counts
411 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.1%
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
32.0%
(/.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)
51.7%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
72.0%
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n)
18.2%
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)))))))))
24.5%
(/.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))))
24.5%
(/.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)))))
78.9%
(/.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))
64.3%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
50.2%
(/.f64 #s(literal 1 binary64) (/.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)))))
18.0%
(-.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)))
30.1%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
36.2%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 968 to 370 computations (61.8% saved)

simplify438.0ms (1.8%)

Memory
-1.6MiB live, 745.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/2 binary64) n)
cost-diff0
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n)
cost-diff5248
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x))
cost-diff7360
(-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))
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)))
cost-diff0
(/.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))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.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)))))
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
15 438×accelerator-lowering-fma.f32
15 438×accelerator-lowering-fma.f64
3 526×*-lowering-*.f32
3 526×*-lowering-*.f64
3 050×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048506
1115506
2298506
3744495
41985495
56939495
08020429
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))
(- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))
(- (log x) (log (+ 1 x)))
(log x)
x
(log (+ 1 x))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)
(+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n))
1/2
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log (+ 1 x)) 2)
2
(pow (log x) 2)
(/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)
(* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
1/6
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(pow (log (+ 1 x)) 3)
3
(pow (log x) 3)
n
(neg n)
(- 1 (pow x (/ 1 n)))
1
(pow x (/ 1 n))
x
(/ 1 n)
n
(- (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (pow x (/ 1 n)))
(+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1)
x
(+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(/ 1/2 (* n n))
1/2
(* n n)
n
(/ -1/2 n)
-1/2
(/ 1 n)
1
(pow x (/ 1 n))
(/ 1 (/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
1
(/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
x
(/ 1 n)
n
(pow x (/ 1 n))
(/ (- (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x)) n)
(- (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x))
(+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x)))
(/ 1/2 n)
1/2
n
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log (+ 1 x)) 2)
(log (+ 1 x))
x
2
(pow (log x) 2)
(log x)
Outputs
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))
(/.f64 (-.f64 (-.f64 (log1p.f64 x) (log.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)) n)
(- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) n))) n))
(- (log x) (log (+ 1 x)))
(-.f64 (log.f64 x) (log1p.f64 x))
(log x)
(log.f64 x)
x
(log (+ 1 x))
(log1p.f64 x)
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)
(+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n)))
1/2
#s(literal 1/2 binary64)
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log (+ 1 x)) 2)
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))
(* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
(*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
1/6
#s(literal 1/6 binary64)
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow (log (+ 1 x)) 3)
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
n
(neg n)
(neg.f64 n)
(- 1 (pow x (/ 1 n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
1
#s(literal 1 binary64)
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(- (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (pow x (/ 1 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))))
(+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1)
(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
(+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 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))
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
(/ 1/2 (* n n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
1/2
#s(literal 1/2 binary64)
(* n n)
(*.f64 n n)
n
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
-1/2
#s(literal -1/2 binary64)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ 1 (/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
1
#s(literal 1 binary64)
(/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))
(/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow (+ x 1) (/ 1 n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ (- (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x)) n)
(/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n) #s(literal 1 binary64))) n)
(- (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x))
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n) #s(literal 1 binary64)))
(+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x)))
(fma.f64 (log1p.f64 x) (fma.f64 (log1p.f64 x) (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n))
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
1/2
#s(literal 1/2 binary64)
n
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log (+ 1 x)) 2)
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(log (+ 1 x))
(log1p.f64 x)
x
2
#s(literal 2 binary64)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log x)
(log.f64 x)

localize458.0ms (1.9%)

Memory
-14.7MiB live, 828.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
accuracy99.5%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy76.8%
(-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))
accuracy76.7%
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy99.9%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy99.8%
(/.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))))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.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)))))
accuracy54.5%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy99.9%
(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))
accuracy99.3%
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
accuracy96.9%
(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))
accuracy61.6%
(-.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)))
accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
accuracy43.0%
(-.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))
accuracy76.8%
(-.f64 (log.f64 x) (log1p.f64 x))
accuracy76.7%
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy76.7%
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
Samples
190.0ms84×2valid
131.0ms88×1valid
31.0ms66×0exit
9.0ms11×1exit
2.0ms0valid
2.0ms3valid
Compiler

Compiled 446 to 49 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 318.0ms
ival-pow: 161.0ms (50.6% of total)
ival-div: 55.0ms (17.3% of total)
ival-sub: 20.0ms (6.3% of total)
adjust: 19.0ms (6% of total)
ival-mult: 19.0ms (6% of total)
ival-add: 12.0ms (3.8% of total)
ival-log: 10.0ms (3.1% of total)
ival-pow2: 8.0ms (2.5% of total)
ival-log1p: 6.0ms (1.9% of total)
const: 5.0ms (1.6% of total)
exact: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series141.0ms (0.6%)

Memory
1.1MiB live, 313.9MiB allocated
Counts
25 → 468
Calls
Call 1
Inputs
#<alt (/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))>
#<alt (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))>
#<alt (- (log x) (log (+ 1 x)))>
#<alt (log x)>
#<alt (- 1 (pow x (/ 1 n)))>
#<alt (pow x (/ 1 n))>
#<alt (/ 1 n)>
#<alt (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))>
#<alt (- (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (pow x (/ 1 n)))>
#<alt (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1)>
#<alt (+ (/ 1/2 (* n n)) (/ -1/2 n))>
#<alt (/ 1 (/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))>
#<alt (/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))>
#<alt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))>
#<alt (pow (+ x 1) (/ 1 n))>
#<alt (- (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x))>
#<alt (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x)))>
#<alt (/ (- (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x)) n)>
#<alt (/ 1/2 n)>
#<alt (- (pow (log (+ 1 x)) 3) (pow (log x) 3))>
#<alt (- (pow (log (+ 1 x)) 2) (pow (log x) 2))>
#<alt (pow (log x) 3)>
#<alt (/ 1/2 (* n n))>
#<alt (pow (log x) 2)>
#<alt (pow (log (+ 1 x)) 2)>
Outputs
#<alt (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))>
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))>
#<alt (+ (* -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))))>
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))>
#<alt (/ (+ (* -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)>
#<alt (/ (+ (* -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)>
#<alt (/ (+ (* -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)>
#<alt (/ (- 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))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* -1 (/ (+ (* -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 (/ (- (+ (* -1 (- (* 1/3 (/ 1 n)) (+ (* 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)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))))) (/ 1/4 (* n x))) (+ (* 1/6 (/ (+ (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))))) (* n x))) (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) (* n x))))) x))) x)) (* -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))) x))>
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3)))>
#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (pow n 3))>
#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 3))>
#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 3))>
#<alt (* -1 (/ (- (log x) (log (+ 1 x))) n))>
#<alt (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)>
#<alt (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)>
#<alt (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)>
#<alt (* -1 (/ (- (log x) (log (+ 1 x))) n))>
#<alt (* -1 (/ (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x))) n))>
#<alt (* -1 (/ (- (+ (log x) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x))) n))>
#<alt (* -1 (/ (- (+ (log x) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x))) n))>
#<alt (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))>
#<alt (- (+ (log x) (* -1 x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))>
#<alt (- (+ (log x) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))>
#<alt (- (+ (log x) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))>
#<alt (* -1 (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) x))>
#<alt (/ (- (* 1/2 (/ 1 x)) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))))))) x)>
#<alt (/ (- (+ (* -1 (/ (+ 1/3 (+ (* 1/6 (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2)))))) (* 1/2 (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))))) (pow x 2))) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))))))) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (pow x 2))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) (pow x 3))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))))))))) x)>
#<alt (* -1 (/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) x))>
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#<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)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))>
Calls

117 calls:

TimeVariablePointExpression
32.0ms
x
@0
(log x)
11.0ms
x
@-inf
(log x)
10.0ms
x
@inf
(log x)
9.0ms
x
@-inf
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))
5.0ms
n
@0
(- (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x))

rewrite384.0ms (1.6%)

Memory
15.2MiB live, 717.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 988×*-lowering-*.f32
3 988×*-lowering-*.f64
3 818×accelerator-lowering-fma.f32
3 818×accelerator-lowering-fma.f64
3 454×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048330
1375328
23792328
08486279
Stop Event
iter limit
node limit
Counts
25 → 732
Calls
Call 1
Inputs
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))
(- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))
(- (log x) (log (+ 1 x)))
(log x)
(- 1 (pow x (/ 1 n)))
(pow x (/ 1 n))
(/ 1 n)
(+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))
(- (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (pow x (/ 1 n)))
(+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1)
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(/ 1 (/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
(/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(- (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x))
(+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x)))
(/ (- (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x)) n)
(/ 1/2 n)
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log x) 3)
(/ 1/2 (* n n))
(pow (log x) 2)
(pow (log (+ 1 x)) 2)
Outputs
(+.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)))))
(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 #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 #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 (-.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) (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))
(/.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))))
(/.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))) (/.f64 #s(literal -1 binary64) n)) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
(/.f64 (/.f64 (-.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)) n)
(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))
(pow.f64 (/.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)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (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)))
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(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))) #s(literal 3/2 binary64)))
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(*.f64 (log1p.f64 x) (log1p.f64 x))

simplify515.0ms (2.1%)

Memory
-19.6MiB live, 718.8MiB allocated
Algorithm
egg-herbie
Rules
6 394×accelerator-lowering-fma.f32
6 394×accelerator-lowering-fma.f64
5 298×*-lowering-*.f32
5 298×*-lowering-*.f64
4 944×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145613930
1468013235
0905112215
Stop Event
iter limit
node limit
Counts
468 → 468
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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(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3)))
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (pow n 3))
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 3))
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 3))
(* -1 (/ (- (log x) (log (+ 1 x))) n))
(/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)
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(/ (+ (* -1 (- (log x) (log (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)
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(- (+ (log x) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
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(* -1 (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) x))
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(/ (- (+ (* -1 (/ (+ 1/3 (+ (* 1/6 (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2)))))) (* 1/2 (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))))) (pow x 2))) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))))))) x)
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Outputs
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(/.f64 (-.f64 (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 2/3 binary64) (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 11/12 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))) x)) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x)) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (neg.f64 x))
(* -1 (pow (log x) 2))
(neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(- (pow x 2) (pow (log x) 2))
(-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
(-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 11/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(* -2 (/ (log (/ 1 x)) x))
(/.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) x)
(/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x)
(/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (log.f64 x) x))) x)
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)
(/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (+.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (log.f64 x) x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x)
(/ (- (+ (* -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)
(/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (neg.f64 (/.f64 (log.f64 x) x)) (/.f64 #s(literal 11/12 binary64) (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x)
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) (neg.f64 x))
(* -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))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) x)) x)) (neg.f64 x))
(* -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))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 11/12 binary64)) x))) x)) x)) (neg.f64 x))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (pow (log (/ 1 x)) 3))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/ 1/2 (pow n 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 x)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))
(* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1))))
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 11/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal 11/12 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(+ (* -2 (/ (log (/ 1 x)) x)) (pow (log (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(+ (* -2 (/ (log (/ 1 x)) x)) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))
(+.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x))))
(- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))) (/ 1 (pow x 3)))
(+.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 x) x)) (+.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) x) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) x))
(+ (* -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)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(-.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) x)) x)) x))

eval257.0ms (1.1%)

Memory
49.6MiB live, 421.2MiB allocated
Compiler

Compiled 54 641 to 4 834 computations (91.2% saved)

prune240.0ms (1%)

Memory
-29.6MiB live, 459.0MiB allocated
Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New1 542261 568
Fresh448
Picked415
Done000
Total1 550311 581
Accuracy
100.0%
Counts
1 581 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.1%
(fma.f64 (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)) x (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
32.0%
(/.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)
38.7%
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
6.5%
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
24.0%
(/.f64 (fma.f64 n (fma.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
46.9%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n))
51.7%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
45.9%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n)
37.8%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)
32.3%
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (log.f64 x) x))) x) (log1p.f64 x)) (log.f64 x)) n)
46.8%
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) x) (log.f64 x)) n)
18.2%
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)))))))))
53.3%
(/.f64 (-.f64 (-.f64 (log.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)))) (neg.f64 n))
32.7%
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) n) (*.f64 n (log.f64 x))) (*.f64 n n))
64.3%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
24.5%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
53.8%
(/.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)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
9.2%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
64.3%
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
36.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
38.7%
(/.f64 #s(literal 1 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 n (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)))))))
9.4%
(-.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))
30.1%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
10.2%
(-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
36.2%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
29.3%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
56.7%
(*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n))
58.0%
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
6.8%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
7.1%
(*.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)))
39.4%
(neg.f64 (/.f64 (log.f64 x) n))
Compiler

Compiled 1 689 to 784 computations (53.6% saved)

simplify247.0ms (1%)

Memory
23.9MiB live, 448.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 x (+.f64 x #s(literal 1 binary64)))
cost-diff192
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
cost-diff320
(-.f64 (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) n) (*.f64 n (log.f64 x)))
cost-diff704
(*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) n)
cost-diff0
(log1p.f64 x)
cost-diff0
(-.f64 (log1p.f64 x) (log.f64 x))
cost-diff0
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
cost-diff0
(log.f64 x)
cost-diff0
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x))
cost-diff0
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
cost-diff192
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff0
(log.f64 x)
cost-diff0
(log1p.f64 x)
cost-diff0
(-.f64 (log1p.f64 x) (log.f64 x))
cost-diff0
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
Rules
7 434×accelerator-lowering-fma.f32
7 434×accelerator-lowering-fma.f64
3 936×*-lowering-*.f32
3 936×*-lowering-*.f64
1 474×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034262
181258
2173256
3426253
4855249
52099249
65813249
08045198
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- (log (+ 1 x)) (log x)) n)
(- (log (+ 1 x)) (log x))
(log (+ 1 x))
x
(log x)
n
(- 1 1)
1
(/ (+ (* x (+ (* x 1/2) -1)) (log x)) (neg n))
(+ (* x (+ (* x 1/2) -1)) (log x))
x
(+ (* x 1/2) -1)
1/2
-1
(log x)
(neg n)
n
(/ 1 (/ n (- (log (+ 1 x)) (log x))))
1
(/ n (- (log (+ 1 x)) (log x)))
n
(- (log (+ 1 x)) (log x))
(log (+ 1 x))
x
(log x)
(/ (- (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) (* n (log x))) (* n n))
(- (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) (* n (log x)))
(* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n)
(+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x)))
(* (log (* x (+ x 1))) (log (/ (+ x 1) x)))
(log (* x (+ x 1)))
(* x (+ x 1))
x
(+ x 1)
1
(log (/ (+ x 1) x))
(/ (+ x 1) x)
(/ 1/2 n)
1/2
n
(log (+ 1 x))
(* n (log x))
(log x)
(* n n)
Outputs
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(- (log (+ 1 x)) (log x))
(-.f64 (log1p.f64 x) (log.f64 x))
(log (+ 1 x))
(log1p.f64 x)
x
(log x)
(log.f64 x)
n
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(/ (+ (* x (+ (* x 1/2) -1)) (log x)) (neg n))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(+ (* x (+ (* x 1/2) -1)) (log x))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x))
x
(+ (* x 1/2) -1)
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
1/2
#s(literal 1/2 binary64)
-1
#s(literal -1 binary64)
(log x)
(log.f64 x)
(neg n)
(neg.f64 n)
n
(/ 1 (/ n (- (log (+ 1 x)) (log x))))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
1
#s(literal 1 binary64)
(/ n (- (log (+ 1 x)) (log x)))
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
n
(- (log (+ 1 x)) (log x))
(-.f64 (log1p.f64 x) (log.f64 x))
(log (+ 1 x))
(log1p.f64 x)
x
(log x)
(log.f64 x)
(/ (- (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) (* n (log x))) (* n n))
(/.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x x)) (log1p.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 n n))
(- (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) (* n (log x)))
(fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x x)) (log1p.f64 (/.f64 #s(literal 1 binary64) x)))))
(* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n)
(fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x x)) (log1p.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 n (log1p.f64 x)))
(+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x)))
(fma.f64 (log.f64 (fma.f64 x x x)) (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) n)) (log1p.f64 x))
(* (log (* x (+ x 1))) (log (/ (+ x 1) x)))
(*.f64 (log.f64 (fma.f64 x x x)) (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(log (* x (+ x 1)))
(log.f64 (fma.f64 x x x))
(* x (+ x 1))
(fma.f64 x x x)
x
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(log (/ (+ x 1) x))
(log1p.f64 (/.f64 #s(literal 1 binary64) x))
(/ (+ x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
1/2
#s(literal 1/2 binary64)
n
(log (+ 1 x))
(log1p.f64 x)
(* n (log x))
(*.f64 (log.f64 x) n)
(log x)
(log.f64 x)
(* n n)
(*.f64 n n)

localize183.0ms (0.8%)

Memory
15.5MiB live, 445.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy83.7%
(log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))
accuracy76.0%
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) n) (*.f64 n (log.f64 x))) (*.f64 n n))
accuracy72.2%
(-.f64 (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) n) (*.f64 n (log.f64 x)))
accuracy64.6%
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
accuracy100.0%
(log.f64 x)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
accuracy99.7%
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))
accuracy64.6%
(-.f64 (log1p.f64 x) (log.f64 x))
accuracy100.0%
(neg.f64 n)
accuracy100.0%
(log.f64 x)
accuracy100.0%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x))
accuracy94.2%
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy100.0%
(log1p.f64 x)
accuracy100.0%
(log.f64 x)
accuracy99.6%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
accuracy64.6%
(-.f64 (log1p.f64 x) (log.f64 x))
Samples
82.0ms93×2valid
49.0ms160×0valid
1.0ms1valid
Compiler

Compiled 235 to 34 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-log: 34.0ms (33.7% of total)
ival-div: 17.0ms (16.8% of total)
ival-mult: 17.0ms (16.8% of total)
adjust: 8.0ms (7.9% of total)
ival-sub: 8.0ms (7.9% of total)
ival-log1p: 7.0ms (6.9% of total)
ival-add: 7.0ms (6.9% of total)
ival-neg: 1.0ms (1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series120.0ms (0.5%)

Memory
14.9MiB live, 128.8MiB allocated
Counts
17 → 276
Calls
Call 1
Inputs
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (- (log (+ 1 x)) (log x))>
#<alt (log (+ 1 x))>
#<alt (log x)>
#<alt (- 1 1)>
#<alt (/ (+ (* x (+ (* x 1/2) -1)) (log x)) (neg n))>
#<alt (+ (* x (+ (* x 1/2) -1)) (log x))>
#<alt (+ (* x 1/2) -1)>
#<alt (/ 1 (/ n (- (log (+ 1 x)) (log x))))>
#<alt (/ n (- (log (+ 1 x)) (log x)))>
#<alt (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n)>
#<alt (- (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) (* n (log x)))>
#<alt (log (/ (+ x 1) x))>
#<alt (* x (+ x 1))>
#<alt (neg n)>
#<alt (/ (- (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) (* n (log x))) (* n n))>
#<alt (log (* x (+ x 1)))>
Outputs
#<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 (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))))>
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#<alt x>
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Calls

69 calls:

TimeVariablePointExpression
71.0ms
n
@0
(/ (- (log (+ 1 x)) (log x)) n)
14.0ms
n
@0
(* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n)
12.0ms
n
@inf
(/ (- (log (+ 1 x)) (log x)) n)
1.0ms
n
@0
(/ (+ (* x (+ (* x 1/2) -1)) (log x)) (neg n))
1.0ms
x
@0
(* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n)

rewrite373.0ms (1.5%)

Memory
-35.5MiB live, 542.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 974×/-lowering-/.f32
4 974×/-lowering-/.f64
4 046×*-lowering-*.f32
4 046×*-lowering-*.f64
3 374×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034170
1206160
21712160
08164131
Stop Event
iter limit
node limit
Counts
17 → 918
Calls
Call 1
Inputs
(/ (- (log (+ 1 x)) (log x)) n)
(- (log (+ 1 x)) (log x))
(log (+ 1 x))
(log x)
(- 1 1)
(/ (+ (* x (+ (* x 1/2) -1)) (log x)) (neg n))
(+ (* x (+ (* x 1/2) -1)) (log x))
(+ (* x 1/2) -1)
(/ 1 (/ n (- (log (+ 1 x)) (log x))))
(/ n (- (log (+ 1 x)) (log x)))
(* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n)
(- (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) (* n (log x)))
(log (/ (+ x 1) x))
(* x (+ x 1))
(neg n)
(/ (- (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) (* n (log x))) (* n n))
(log (* x (+ x 1)))
Outputs
(+.f64 (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (neg.f64 (log.f64 x)) n))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (log1p.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) n) (neg.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
(-.f64 (/.f64 #s(literal 0 binary64) n) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) n) (/.f64 (log.f64 (neg.f64 x)) n))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (fma.f64 x x x))) n) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (fma.f64 x x x))) n))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n (log.f64 (fma.f64 x x x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n (log.f64 (fma.f64 x x x)))))
(-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (*.f64 n n)) (/.f64 (*.f64 (log.f64 x) n) (*.f64 n n)))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))) (/.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (/.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))
(-.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n) (/.f64 (neg.f64 (log.f64 x)) n))
(fma.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) n) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) n))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (log1p.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) n) (neg.f64 (log.f64 x))))
(fma.f64 (neg.f64 (log1p.f64 x)) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (neg.f64 (log1p.f64 x)) (/.f64 #s(literal -1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) n))
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (log.f64 (fma.f64 x x x))) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n n) (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 (log.f64 x) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 (fma.f64 x x x)) n) (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (log.f64 (fma.f64 x x x))) (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))) (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (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))) n)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 x x x)) (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) n)))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) (*.f64 n (log.f64 (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 (log.f64 x) n)) (*.f64 n n))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n))
(/.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) #s(literal 1 binary64)) (*.f64 (log.f64 (fma.f64 x x x)) n))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x)))) (*.f64 n (log.f64 (fma.f64 x x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x)))) (neg.f64 (*.f64 n (log.f64 (fma.f64 x x x)))))
(/.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x)))) (log.f64 (fma.f64 x x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 n))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) (neg.f64 n))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))) (*.f64 (/.f64 n (log1p.f64 x)) #s(literal 1 binary64))) (*.f64 (/.f64 n (log1p.f64 x)) (/.f64 n (log.f64 x))))
(/.f64 (-.f64 n (*.f64 (/.f64 n (log1p.f64 x)) (log.f64 x))) (*.f64 (/.f64 n (log1p.f64 x)) n))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 n)) (*.f64 (/.f64 n (log1p.f64 x)) (neg.f64 (log.f64 x)))) (*.f64 (/.f64 n (log1p.f64 x)) (neg.f64 n)))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x))))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (neg.f64 n)) (*.f64 (log.f64 x) (neg.f64 n))) (*.f64 n (neg.f64 n)))
(/.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (/.f64 n (log.f64 x))) (neg.f64 n)) (*.f64 (neg.f64 n) (/.f64 n (log.f64 x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) n) (*.f64 (log.f64 x) (neg.f64 n))) (*.f64 n (neg.f64 n)))
(/.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 n)) (*.f64 (neg.f64 n) (neg.f64 (log.f64 x)))) (*.f64 n n))
(/.f64 (neg.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 (log.f64 x) n))) (*.f64 n (neg.f64 n)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n)))
(/.f64 (neg.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (log.f64 (fma.f64 x x x)) n)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))))) (neg.f64 (*.f64 n (log.f64 (fma.f64 x x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))))) (neg.f64 (log.f64 (fma.f64 x x x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) n)
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) n)) (neg.f64 (log.f64 (fma.f64 x x x))))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) n) (log.f64 (fma.f64 x x x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) (neg.f64 (/.f64 (log.f64 x) n))) (*.f64 (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (neg.f64 (log.f64 x)) n)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (log1p.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (neg.f64 (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (log1p.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) n) (log1p.f64 x)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (neg.f64 (log.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) n) (neg.f64 (log.f64 x)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (log1p.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) n) (neg.f64 (log.f64 x)))))))
(pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) #s(literal 1 binary64))
(pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1 binary64))
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(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 n (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) n) #s(literal 2 binary64))) n) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)))) n))
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(*.f64 (/.f64 (fma.f64 (*.f64 (log.f64 x) n) (*.f64 n (+.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))) (pow.f64 (*.f64 n (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x))) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (*.f64 n (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))) (fma.f64 (*.f64 (log.f64 x) n) (*.f64 n (+.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))) (pow.f64 (*.f64 n (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 n (+.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))) (*.f64 n n)) (/.f64 (*.f64 n (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))) (*.f64 n (+.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)))))
(*.f64 (/.f64 (*.f64 n (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 n n)))
(log.f64 (fma.f64 x x x))
(+.f64 (log1p.f64 x) (log.f64 x))
(+.f64 (log.f64 x) (log1p.f64 x))
(-.f64 (log.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (log.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))))
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (log.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(-.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x)) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x)) (log.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x)))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x)))) (log.f64 (/.f64 x (+.f64 #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 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 x x x)))))
(*.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x))))))
(*.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 (log.f64 (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x)))) (/.f64 (log.f64 (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 x x x)))))
(*.f64 (/.f64 (log.f64 (fma.f64 x x x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))

simplify402.0ms (1.7%)

Memory
22.4MiB live, 612.1MiB allocated
Algorithm
egg-herbie
Rules
8 270×accelerator-lowering-fma.f32
8 270×accelerator-lowering-fma.f64
4 388×*-lowering-*.f32
4 388×*-lowering-*.f64
3 572×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05634399
118073984
253783875
083973526
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(/ 1 (* n x))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/ 1 (* n x))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(* -1 (log x))
(- x (log x))
(- (* x (+ 1 (* -1/2 x))) (log x))
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(* -1/2 (/ (pow x 2) n))
(* (pow x 2) (- (/ 1 (* n x)) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n (pow x 2)))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n (pow x 2)))) (* 1/2 (/ 1 n))))
(* -1/2 (/ (pow x 2) n))
(* (pow x 2) (- (/ 1 (* n x)) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (* -1 (/ (- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (/ 1 n)) x)) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (* -1 (/ (- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (/ 1 n)) x)) (* 1/2 (/ 1 n))))
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
(log x)
(+ (log x) (* -1 x))
(+ (log x) (* x (- (* 1/2 x) 1)))
(+ (log x) (* x (- (* 1/2 x) 1)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (log (/ 1 x)) (pow x 2)))) (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (log (/ 1 x)) (pow x 2)))) (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))) x))))
-1
(- (* 1/2 x) 1)
(- (* 1/2 x) 1)
(- (* 1/2 x) 1)
(* 1/2 x)
(* x (- 1/2 (/ 1 x)))
(* x (- 1/2 (/ 1 x)))
(* x (- 1/2 (/ 1 x)))
(* 1/2 x)
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* x (- (/ 1 x) 1/2)))
(* -1 (* x (- (/ 1 x) 1/2)))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(/ 1 (* n x))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/ 1 (* n x))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/ n (- (log (+ 1 x)) (log x)))
(/ n (- (log (+ 1 x)) (log x)))
(/ n (- (log (+ 1 x)) (log x)))
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(/ n (- (log (+ 1 x)) (log x)))
(/ n (- (log (+ 1 x)) (log x)))
(/ n (- (log (+ 1 x)) (log x)))
(/ n (- (log (+ 1 x)) (log x)))
(/ n (- (log (+ 1 x)) (log x)))
(/ n (- (log (+ 1 x)) (log x)))
(/ n (- (log (+ 1 x)) (log x)))
(/ n (- (log (+ 1 x)) (log x)))
(* -1 (/ n (log x)))
(+ (* -1 (/ n (log x))) (* -1 (/ (* n x) (pow (log x) 2))))
(+ (* -1 (/ n (log x))) (* x (- (* -1 (* x (+ (* -1/2 (/ n (pow (log x) 2))) (/ n (pow (log x) 3))))) (/ n (pow (log x) 2)))))
(+ (* -1 (/ n (log x))) (* x (- (* x (- (* -1 (* x (+ (* -1 (/ n (pow (log x) 3))) (+ (* 1/3 (/ n (pow (log x) 2))) (/ n (pow (log x) 4)))))) (+ (* -1/2 (/ n (pow (log x) 2))) (/ n (pow (log x) 3))))) (/ n (pow (log x) 2)))))
(* n x)
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(* n (+ (log -1) (* -1 (log (/ -1 x)))))
(+ (* -1 (/ (* n (- (/ (log (/ -1 x)) n) 1)) x)) (* n (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (+ (* -1 (/ (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ -1 x)) n))) 1/2)) x)) (* n (- (/ (log (/ -1 x)) n) 1))) x)) (* n (+ (log -1) (* -1 (log (/ -1 x))))))
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(* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))
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(* -1 (* n (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)))))
(* -1 (* n (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)))))
(- (* -1/2 (pow (log x) 2)) (* n (log x)))
(- (+ (* -1/2 (pow (log x) 2)) (* n (* x (+ 1 (* 1/2 (+ (* -1 (/ (log x) n)) (/ (log x) n))))))) (* n (log x)))
(- (+ (* -1/2 (pow (log x) 2)) (* x (+ (* n (* x (- (* 1/2 (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n)))) 1/2))) (* n (+ 1 (* 1/2 (+ (* -1 (/ (log x) n)) (/ (log x) n)))))))) (* n (log x)))
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(/ (* n (+ 1 (* -1 (/ (log (/ 1 x)) n)))) x)
(/ (+ (* n (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (/ (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2)) x)) x)
(/ (+ (* n (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (+ (/ (* n (+ 1/3 (* 1/2 (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))))) (pow x 2)) (/ (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2)) x))) x)
(/ (+ (* n (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (+ (/ (* n (+ 1/3 (* 1/2 (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))))) (pow x 2)) (+ (/ (* n (- (* 1/2 (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n)))) 1/4)) (pow x 3)) (/ (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2)) x)))) x)
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(* -1 (/ (+ (* -1 (/ (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ -1 x)) n))) 1/2)) x)) (* n (- (/ (log (/ -1 x)) n) 1))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* n (- (* 1/2 (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n))) 1/3)) x)) (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ -1 x)) n))) 1/2))) x)) (* n (- (/ (log (/ -1 x)) n) 1))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* n (- (* 1/2 (+ (* 1/2 (/ (log (/ -1 x)) n)) (* 11/12 (/ 1 n)))) 1/4)) x)) (* n (- (* 1/2 (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n))) 1/3))) x)) (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ -1 x)) n))) 1/2))) x)) (* n (- (/ (log (/ -1 x)) n) 1))) x))
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(* -1 (* n (- (* -1 (log (+ 1 x))) (* -1 (log x)))))
(* -1 (* n (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x)))))
(* -1 (* n (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x)))))
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(+ x (* -1 (log x)))
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 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)
(/ (- (* -1/2 (pow (log x) 2)) (* n (log x))) (pow n 2))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (/ 1 n)))) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (+ (* x (- (* 1/2 (/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n))) n)) (* 1/2 (/ 1 n)))) (/ 1 n))))) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (+ (* x (- (+ (* 1/2 (/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n))) n)) (* x (+ (* 1/2 (/ (- (+ (* -1/3 (/ (log x) n)) (* 1/3 (/ (log x) n))) (/ 1 n)) n)) (* 1/3 (/ 1 n))))) (* 1/2 (/ 1 n)))) (/ 1 n))))) (/ (log x) n))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)
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(* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) n)) (* 1/2 (/ 1 n))) x)) (/ (log (/ -1 x)) (pow n 2))) (/ 1 n)) x))
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(/ (+ (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x)) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))) n))
(log x)
(+ x (log x))
(+ (log x) (* x (+ 1 (* -1/2 x))))
(+ (log x) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))
(* -2 (log (/ 1 x)))
(+ (* -2 (log (/ 1 x))) (/ 1 x))
(- (+ (* -2 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(* -2 (log (/ -1 x)))
(+ (* -2 (log (/ -1 x))) (/ 1 x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))
Outputs
(* -1 (/ (log x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(+ (* -1 (/ (log x) n)) (/ x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(-.f64 (fma.f64 x (/.f64 (*.f64 x #s(literal -1/2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (*.f64 x x) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))
(/ 1 (* n x))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x n))))
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (*.f64 x n)))))) x)
(/ 1 (* n x))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1 binary64) (*.f64 x n)))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1/3 binary64) (*.f64 x n)))) x) (/.f64 #s(literal 1 binary64) n)) x)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
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(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(* -1 (log x))
(neg.f64 (log.f64 x))
(- x (log x))
(-.f64 x (log.f64 x))
(- (* x (+ 1 (* -1/2 x))) (log x))
(-.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (log.f64 x))
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (log.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))) x)
(/ 1 x)
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(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))
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x
(* x (+ 1 (* -1/2 x)))
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(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (log.f64 x) (/.f64 #s(literal 1 binary64) x))
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(+.f64 (/.f64 x n) (/.f64 (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 n n)))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (+ (* x (- (* 1/2 (/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n))) n)) (* 1/2 (/ 1 n)))) (/ 1 n))))) (/ (log x) n))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 n n)))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (+ (* x (- (+ (* 1/2 (/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n))) n)) (* x (+ (* 1/2 (/ (- (+ (* -1/3 (/ (log x) n)) (* 1/3 (/ (log x) n))) (/ 1 n)) n)) (* 1/3 (/ 1 n))))) (* 1/2 (/ 1 n)))) (/ 1 n))))) (/ (log x) n))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 n n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 n n)))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (*.f64 x n))
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)
(/.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)
(/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n n)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal -1/4 binary64) (/.f64 #s(literal 11/24 binary64) n)) (*.f64 x (*.f64 x (*.f64 x n)))))) (-.f64 (/.f64 (log.f64 x) (*.f64 n n)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) x)
(* -1 (/ (- (/ (log (/ -1 x)) n) 1) (* n x)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 n))) (*.f64 x n))
(* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) n)) (* 1/2 (/ 1 n))) x)) (/ (log (/ -1 x)) (pow n 2))) (/ 1 n)) x))
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) n)) n) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) n) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) (neg.f64 x))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) n))) (* 1/2 (/ 1 n))) x)) (/ (log (/ -1 x)) (pow n 2))) (/ 1 n)) x))
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) n)) n) (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) n)) (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) n) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) (*.f64 x n)))) x)) (neg.f64 x))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 1/2 (/ (log (/ -1 x)) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) n))) (* 1/2 (/ 1 n))) x)) (/ (log (/ -1 x)) (pow n 2))) (/ 1 n)) x))
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) n)) n) (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) n)) (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) n) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal -1/3 binary64) n)) (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) n) (/.f64 #s(literal 11/24 binary64) n)) (*.f64 x n)) (/.f64 #s(literal -1/4 binary64) (*.f64 x n)))) x)) x)) (neg.f64 x))
(* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) (pow n 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n n))))
(/ (+ (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 n n))
(/ (+ (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 n n))
(/ (+ (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 n n))
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x)) n)
(/.f64 (fma.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x)) n)
(/.f64 (fma.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x)) n)
(/.f64 (fma.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 x x x))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (log.f64 x)) (log1p.f64 x)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 x x x))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (log.f64 x)) (log1p.f64 x)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 x x x))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (log.f64 x)) (log1p.f64 x)) (neg.f64 n))
(log x)
(log.f64 x)
(+ x (log x))
(+.f64 x (log.f64 x))
(+ (log x) (* x (+ 1 (* -1/2 x))))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (log.f64 x))
(+ (log x) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(* -2 (log (/ 1 x)))
(*.f64 (log.f64 x) #s(literal 2 binary64))
(+ (* -2 (log (/ 1 x))) (/ 1 x))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(- (+ (* -2 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* -2 (log (/ -1 x)))
(*.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 x))) (/ 1 x))
(fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))
(fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))
(fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)))

eval182.0ms (0.8%)

Memory
-3.8MiB live, 387.8MiB allocated
Compiler

Compiled 41 988 to 3 923 computations (90.7% saved)

prune812.0ms (3.3%)

Memory
0.8MiB live, 356.2MiB allocated
Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New1 367231 390
Fresh121325
Picked505
Done011
Total1 384371 421
Accuracy
100.0%
Counts
1 421 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.1%
(fma.f64 (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)) x (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
41.2%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
27.2%
(/.f64 (fma.f64 x n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)))) (*.f64 n n))
6.5%
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
24.0%
(/.f64 (fma.f64 n (fma.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
46.9%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n))
51.7%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
34.4%
(/.f64 (/.f64 (fma.f64 n (/.f64 (log.f64 x) n) n) x) (*.f64 n n))
41.2%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
35.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
18.2%
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)))))))))
53.3%
(/.f64 (-.f64 (-.f64 (log.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)))) (neg.f64 n))
39.1%
(/.f64 (-.f64 x (log.f64 x)) n)
53.8%
(/.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)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
48.5%
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) (*.f64 n (log.f64 (fma.f64 x x x))))
36.4%
(/.f64 (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 n n))
4.3%
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))
50.2%
(/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n))
9.2%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
39.4%
(/.f64 (neg.f64 (log.f64 x)) n)
64.3%
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
63.8%
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64))) n)
38.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))))
35.9%
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
39.3%
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x))))
36.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
64.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))
29.9%
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
35.9%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
30.1%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
10.2%
(-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
36.2%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
38.6%
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))
33.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 n (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))))
6.8%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
34.5%
(neg.f64 (*.f64 (neg.f64 n) (/.f64 (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) (*.f64 n n))))
29.3%
#s(literal 0 binary64)
Compiler

Compiled 1 543 to 776 computations (49.7% saved)

simplify457.0ms (1.9%)

Memory
-8.4MiB live, 283.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 x)
cost-diff0
(*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)))
cost-diff0
(fma.f64 x n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))))
cost-diff64
(/.f64 (fma.f64 x n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)))) (*.f64 n 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-diff0
(*.f64 x #s(literal -1/2 binary64))
cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
cost-diff0
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
cost-diff640
(fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
cost-diff0
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
cost-diff0
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
Rules
8 514×accelerator-lowering-fma.f32
8 514×accelerator-lowering-fma.f64
3 318×*-lowering-*.f32
3 318×*-lowering-*.f64
1 816×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032170
172170
2136166
3238162
4365162
5576162
61254160
73024160
85687160
97722160
08167152
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (log (/ (+ 1 x) x)) n)
(log (/ (+ 1 x) x))
(/ (+ 1 x) x)
(+ 1 x)
1
x
n
0
(/ (+ (* n (+ (* x (* x -1/2)) x)) (* 1/2 (* x x))) (* n n))
(+ (* n (+ (* x (* x -1/2)) x)) (* 1/2 (* x x)))
n
(+ (* x (* x -1/2)) x)
x
(* x -1/2)
-1/2
(* 1/2 (* x x))
1/2
(* x x)
(* n n)
(- (+ (/ x n) 1) (pow x (/ 1 n)))
(+ (/ x n) 1)
(/ x n)
x
n
1
(pow x (/ 1 n))
(/ 1 n)
(/ (+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n)))) (* n n))
(+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n))))
x
n
(* (log x) (+ (* (log x) -1/2) (neg n)))
(log x)
(+ (* (log x) -1/2) (neg n))
-1/2
(neg n)
(* n n)
Outputs
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(log (/ (+ 1 x) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(/ (+ 1 x) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
n
0
#s(literal 0 binary64)
(/ (+ (* n (+ (* x (* x -1/2)) x)) (* 1/2 (* x x))) (* n n))
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n))
(+ (* n (+ (* x (* x -1/2)) x)) (* 1/2 (* x x)))
(*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n))
n
(+ (* x (* x -1/2)) x)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)
x
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* 1/2 (* x x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* x x)
(*.f64 x x)
(* n n)
(*.f64 n n)
(- (+ (/ x n) 1) (pow x (/ 1 n)))
(+.f64 (/.f64 x n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+ (/ x n) 1)
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(/ x n)
(/.f64 x n)
x
n
1
#s(literal 1 binary64)
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n)))) (* n n))
(/.f64 (fma.f64 (log.f64 x) (fma.f64 (log.f64 x) (/.f64 #s(literal -1/2 binary64) n) #s(literal -1 binary64)) x) n)
(+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n))))
(-.f64 (*.f64 x n) (*.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) n)))
x
n
(* (log x) (+ (* (log x) -1/2) (neg n)))
(*.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)))
(log x)
(log.f64 x)
(+ (* (log x) -1/2) (neg n))
(fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n))
-1/2
#s(literal -1/2 binary64)
(neg n)
(neg.f64 n)
(* n n)
(*.f64 n n)

localize287.0ms (1.2%)

Memory
19.0MiB live, 171.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 x)
accuracy99.6%
(fma.f64 x n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))))
accuracy99.4%
(*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)))
accuracy65.3%
(/.f64 (fma.f64 x n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)))) (*.f64 n n))
accuracy100.0%
(/.f64 x n)
accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
accuracy100.0%
(+.f64 (/.f64 x n) #s(literal 1 binary64))
accuracy54.8%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy100.0%
(*.f64 n n)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy93.3%
(fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
accuracy67.6%
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
accuracy99.6%
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
accuracy64.6%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
Samples
74.0ms113×1valid
64.0ms68×0valid
48.0ms75×2valid
Compiler

Compiled 165 to 34 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-pow: 58.0ms (36.9% of total)
ival-div: 40.0ms (25.4% of total)
ival-log: 17.0ms (10.8% of total)
ival-mult: 16.0ms (10.2% of total)
ival-add: 12.0ms (7.6% of total)
adjust: 9.0ms (5.7% of total)
ival-sub: 2.0ms (1.3% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series41.0ms (0.2%)

Memory
1.3MiB live, 83.1MiB allocated
Counts
19 → 348
Calls
Call 1
Inputs
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (log (/ (+ 1 x) x))>
#<alt (/ (+ 1 x) x)>
#<alt (+ 1 x)>
#<alt (+ (* n (+ (* x (* x -1/2)) x)) (* 1/2 (* x x)))>
#<alt (/ (+ (* n (+ (* x (* x -1/2)) x)) (* 1/2 (* x x))) (* n n))>
#<alt (+ (* x (* x -1/2)) x)>
#<alt (* x -1/2)>
#<alt (- (+ (/ x n) 1) (pow x (/ 1 n)))>
#<alt (+ (/ x n) 1)>
#<alt (/ x n)>
#<alt (pow x (/ 1 n))>
#<alt (/ (+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n)))) (* n n))>
#<alt (+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n))))>
#<alt (* (log x) (+ (* (log x) -1/2) (neg n)))>
#<alt (log x)>
#<alt (* 1/2 (* x x))>
#<alt (* n n)>
#<alt (/ 1 n)>
Outputs
#<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) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (* -1 (log x))>
#<alt (+ x (* -1 (log x)))>
#<alt (+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))>
#<alt (+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))>
#<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 (/ 1 x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<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 (* 1/2 (pow x 2))>
#<alt (+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2)))))>
#<alt (+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2)))))>
#<alt (+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2)))))>
#<alt (* n (+ x (* -1/2 (pow x 2))))>
#<alt (* n (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))))>
#<alt (* n (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))))>
#<alt (* n (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))))>
#<alt (* n (+ x (* -1/2 (pow x 2))))>
#<alt (* -1 (* n (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n)))))>
#<alt (* -1 (* n (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n)))))>
#<alt (* -1 (* n (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n)))))>
#<alt (* n x)>
#<alt (* x (+ n (* x (+ 1/2 (* -1/2 n)))))>
#<alt (* x (+ n (* x (+ 1/2 (* -1/2 n)))))>
#<alt (* x (+ n (* x (+ 1/2 (* -1/2 n)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 n)))>
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 n)))>
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))>
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))>
#<alt (* 1/2 (/ (pow x 2) (pow n 2)))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2))))) (pow n 2))>
#<alt (/ (+ x (* -1/2 (pow x 2))) n)>
#<alt (/ (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))) n)>
#<alt (/ (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))) n)>
#<alt (/ (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))) n)>
#<alt (/ (+ x (* -1/2 (pow x 2))) n)>
#<alt (* -1 (/ (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n))) n))>
#<alt (* -1 (/ (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n))) n))>
#<alt (* -1 (/ (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n))) n))>
#<alt (/ x n)>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/2 n))) (pow n 2))>
#<alt (* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))>
#<alt (* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))>
#<alt (* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/2 n))) (pow n 2))>
#<alt (* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))>
#<alt (* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))>
#<alt (* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* (pow x 2) (- (/ 1 x) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 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 (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 (/ (* (log x) (- (* -1/2 (log x)) n)) (pow n 2))>
#<alt (+ (/ x n) (/ (* (log x) (- (* -1/2 (log x)) n)) (pow n 2)))>
#<alt (+ (/ x n) (/ (* (log x) (- (* -1/2 (log x)) n)) (pow n 2)))>
#<alt (+ (/ x n) (/ (* (log x) (- (* -1/2 (log x)) n)) (pow n 2)))>
#<alt (/ x n)>
#<alt (* x (+ (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) (* (pow n 2) x))) (/ 1 n)))>
#<alt (* x (+ (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) (* (pow n 2) x))) (/ 1 n)))>
#<alt (* x (+ (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) (* (pow n 2) x))) (/ 1 n)))>
#<alt (/ x n)>
#<alt (* -1 (* x (- (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) (* (pow n 2) x))) (/ 1 n))))>
#<alt (* -1 (* x (- (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) (* (pow n 2) x))) (/ 1 n))))>
#<alt (* -1 (* x (- (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) (* (pow n 2) x))) (/ 1 n))))>
#<alt (* -1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (/ (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) (pow n 2))>
#<alt (/ (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) (pow n 2))>
#<alt (/ (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) (pow n 2))>
#<alt (/ (+ x (* -1 (log x))) n)>
#<alt (/ (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (* -1 (/ (+ (log x) (* -1 x)) n))>
#<alt (* -1 (/ (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n)))) n))>
#<alt (* -1 (/ (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n)))) n))>
#<alt (* -1 (/ (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n)))) n))>
#<alt (* (log x) (- (* -1/2 (log x)) n))>
#<alt (+ (* n x) (* (log x) (- (* -1/2 (log x)) n)))>
#<alt (+ (* n x) (* (log x) (- (* -1/2 (log x)) n)))>
#<alt (+ (* n x) (* (log x) (- (* -1/2 (log x)) n)))>
#<alt (* n x)>
#<alt (* x (+ n (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) x))))>
#<alt (* x (+ n (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) x))))>
#<alt (* x (+ n (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) x))))>
#<alt (* n x)>
#<alt (* -1 (* x (+ (* -1 n) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) x)))))>
#<alt (* -1 (* x (+ (* -1 n) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) x)))))>
#<alt (* -1 (* x (+ (* -1 n) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) x)))))>
#<alt (* -1/2 (pow (log x) 2))>
#<alt (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x)))))>
#<alt (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x)))))>
#<alt (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x)))))>
#<alt (* n (+ x (* -1 (log x))))>
#<alt (* n (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))))>
#<alt (* n (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))))>
#<alt (* n (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))))>
#<alt (* -1 (* n (+ (log x) (* -1 x))))>
#<alt (* -1 (* n (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))))))>
#<alt (* -1 (* n (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))))))>
#<alt (* -1 (* n (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))))))>
#<alt (* (log x) (- (* -1/2 (log x)) n))>
#<alt (* (log x) (- (* -1/2 (log x)) n))>
#<alt (* (log x) (- (* -1/2 (log x)) n))>
#<alt (* (log x) (- (* -1/2 (log x)) n))>
#<alt (* -1 (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)))>
#<alt (* -1 (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)))>
#<alt (* -1 (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)))>
#<alt (* -1 (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n))>
#<alt (* -1/2 (pow (log x) 2))>
#<alt (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2)))>
#<alt (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2)))>
#<alt (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2)))>
#<alt (* -1 (* n (log x)))>
#<alt (* n (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))))>
#<alt (* n (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))))>
#<alt (* n (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))))>
#<alt (* -1 (* n (log x)))>
#<alt (* -1 (* n (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))))>
#<alt (* -1 (* n (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))))>
#<alt (* -1 (* n (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (pow n 2)>
#<alt (pow n 2)>
#<alt (pow n 2)>
#<alt (pow n 2)>
#<alt (pow n 2)>
#<alt (pow n 2)>
#<alt (pow n 2)>
#<alt (pow n 2)>
#<alt (pow n 2)>
#<alt (pow n 2)>
#<alt (pow n 2)>
#<alt (pow n 2)>
#<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)>
Calls

87 calls:

TimeVariablePointExpression
13.0ms
n
@0
(/ (log (/ (+ 1 x) x)) n)
5.0ms
n
@inf
(/ (log (/ (+ 1 x) x)) n)
4.0ms
x
@inf
(/ (+ (* n (+ (* x (* x -1/2)) x)) (* 1/2 (* x x))) (* n n))
1.0ms
x
@-inf
(/ (+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n)))) (* n n))
1.0ms
x
@inf
(/ (+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n)))) (* n n))

rewrite383.0ms (1.6%)

Memory
29.1MiB live, 617.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 542×accelerator-lowering-fma.f32
5 542×accelerator-lowering-fma.f64
4 626×*-lowering-*.f32
4 626×*-lowering-*.f64
4 022×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031142
1196142
21742142
08264133
Stop Event
iter limit
node limit
Counts
19 → 617
Calls
Call 1
Inputs
(/ (log (/ (+ 1 x) x)) n)
(log (/ (+ 1 x) x))
(/ (+ 1 x) x)
(+ 1 x)
(+ (* n (+ (* x (* x -1/2)) x)) (* 1/2 (* x x)))
(/ (+ (* n (+ (* x (* x -1/2)) x)) (* 1/2 (* x x))) (* n n))
(+ (* x (* x -1/2)) x)
(* x -1/2)
(- (+ (/ x n) 1) (pow x (/ 1 n)))
(+ (/ x n) 1)
(/ x n)
(pow x (/ 1 n))
(/ (+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n)))) (* n n))
(+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n))))
(* (log x) (+ (* (log x) -1/2) (neg n)))
(log x)
(* 1/2 (* x x))
(* n n)
(/ 1 n)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(-.f64 (/.f64 #s(literal 0 binary64) n) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) n) (/.f64 (log.f64 (neg.f64 x)) n))
(-.f64 (/.f64 (log1p.f64 x) (neg.f64 (neg.f64 n))) (/.f64 (log.f64 x) (neg.f64 (neg.f64 n))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 n))) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) (neg.f64 (neg.f64 n))) (/.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 n))))
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (neg.f64 (neg.f64 n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal 1 binary64))))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 (neg.f64 n))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)) n)
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64)) (neg.f64 n))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)) n)
(/.f64 (-.f64 (log1p.f64 x) (*.f64 (log.f64 x) #s(literal 1 binary64))) n)
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (*.f64 (log.f64 x) #s(literal 1 binary64)))) (*.f64 n n))
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (neg.f64 n)) (*.f64 n (*.f64 (log.f64 x) #s(literal -1 binary64)))) (*.f64 n (neg.f64 n)))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64))) (neg.f64 n))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64))) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64))) (neg.f64 n))
(pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))
(*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x))
(-.f64 (log1p.f64 x) (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) (log.f64 (neg.f64 x)))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (*.f64 x (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (log.f64 x))
(-.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (log1p.f64 (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 x))
(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(neg.f64 (log.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x))))))
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(/.f64 (fma.f64 (*.f64 x n) (*.f64 x (*.f64 n (*.f64 x n))) (pow.f64 (*.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n))) #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 n (*.f64 x n))) (*.f64 (*.f64 x n) (*.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 n (*.f64 x n))) (pow.f64 (*.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n))) #s(literal 2 binary64))) (-.f64 (*.f64 x n) (*.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)))))
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(pow.f64 (/.f64 (-.f64 (*.f64 x n) (*.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)))) (-.f64 (*.f64 x (*.f64 n (*.f64 x n))) (pow.f64 (*.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x n) (*.f64 x (*.f64 n (*.f64 x n))) (pow.f64 (*.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n))) (-.f64 (*.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n))) (*.f64 x n)) (*.f64 x (*.f64 n (*.f64 x n))))))
(*.f64 (-.f64 (*.f64 x (*.f64 n (*.f64 x n))) (pow.f64 (*.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x n) (*.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n))))))
(+.f64 (neg.f64 (*.f64 n (log.f64 x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 n (log.f64 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 n (log.f64 x))))) (/.f64 (pow.f64 (neg.f64 (*.f64 n (log.f64 x))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 n (log.f64 x))))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (neg.f64 (*.f64 n (log.f64 x))))
(fma.f64 (log.f64 x) (*.f64 #s(literal -1/2 binary64) (log.f64 x)) (neg.f64 (*.f64 n (log.f64 x))))
(fma.f64 (log.f64 x) (neg.f64 n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) (log.f64 x) (neg.f64 (*.f64 n (log.f64 x))))
(fma.f64 (neg.f64 n) (log.f64 x) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (neg.f64 (*.f64 n (log.f64 x))))
(fma.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) n (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 n (log.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (*.f64 n (log.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 n (log.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 n (log.f64 x))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 n (log.f64 x)))))
(/.f64 (*.f64 (log.f64 x) (fma.f64 (*.f64 n n) (neg.f64 n) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)))) (fma.f64 (neg.f64 n) (-.f64 (neg.f64 n) (*.f64 #s(literal -1/2 binary64) (log.f64 x))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64))))
(/.f64 (*.f64 (log.f64 x) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 n (neg.f64 n)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) (neg.f64 n)))
(/.f64 (*.f64 (fma.f64 (*.f64 n n) (neg.f64 n) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64))) (log.f64 x)) (fma.f64 (neg.f64 n) (-.f64 (neg.f64 n) (*.f64 #s(literal -1/2 binary64) (log.f64 x))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 n (neg.f64 n))) (log.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) (neg.f64 n)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 n (log.f64 x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (*.f64 n (log.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 n (log.f64 x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 n (log.f64 x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 n (log.f64 x))))))
(/.f64 (neg.f64 (*.f64 (log.f64 x) (fma.f64 (*.f64 n n) (neg.f64 n) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (neg.f64 n) (-.f64 (neg.f64 n) (*.f64 #s(literal -1/2 binary64) (log.f64 x))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (log.f64 x) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 n (neg.f64 n))))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) (neg.f64 n))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 n n) (neg.f64 n) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64))) (log.f64 x))) (neg.f64 (fma.f64 (neg.f64 n) (-.f64 (neg.f64 n) (*.f64 #s(literal -1/2 binary64) (log.f64 x))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 n (neg.f64 n))) (log.f64 x))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) (neg.f64 n))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 n (log.f64 x)) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (neg.f64 (*.f64 n (log.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 n (log.f64 x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))))
(*.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)) (log.f64 x))
(log.f64 x)
(+.f64 (log.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(exp.f64 (*.f64 (log.f64 n) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 n)) #s(literal 2 binary64)))
(neg.f64 (*.f64 n (neg.f64 n)))
(pow.f64 n #s(literal 2 binary64))
(pow.f64 (*.f64 n n) #s(literal 1 binary64))
(pow.f64 (neg.f64 n) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 n)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 n n))
(*.f64 n n)
(*.f64 (*.f64 n n) #s(literal 1 binary64))
(*.f64 (neg.f64 n) (neg.f64 n))
(*.f64 #s(literal -1 binary64) (*.f64 n (neg.f64 n)))
(*.f64 (*.f64 (neg.f64 n) #s(literal -1 binary64)) n)
(*.f64 (exp.f64 (log.f64 n)) (exp.f64 (log.f64 n)))
(exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 n)))
(/.f64 #s(literal -1 binary64) (neg.f64 n))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 n))))
(pow.f64 n #s(literal -1 binary64))
(pow.f64 (*.f64 n n) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 n)) #s(literal -1 binary64))
(pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 n)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64)))

simplify339.0ms (1.4%)

Memory
-25.7MiB live, 683.0MiB allocated
Algorithm
egg-herbie
Rules
9 136×accelerator-lowering-fma.f32
9 136×accelerator-lowering-fma.f64
4 566×*-lowering-*.f32
4 566×*-lowering-*.f64
2 604×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03403237
110783108
228523022
082902900
Stop Event
iter limit
node limit
Counts
348 → 348
Calls
Call 1
Inputs
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(/ 1 (* n x))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/ 1 (* n x))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(* -1 (log x))
(+ x (* -1 (log x)))
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
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(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/ 1 x)
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(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))
x
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(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
(* -1/2 x)
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(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(/ x n)
(* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)))
(* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)))
(* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)))
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(* -1 (* x (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n))))
(* -1 (* x (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n))))
(* -1 (* x (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n))))
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(/ (+ x (* n (- 1 (exp (/ (log x) n))))) n)
(/ (+ x (* n (- 1 (exp (/ (log x) n))))) n)
(/ (+ x (* n (- 1 (exp (/ (log x) n))))) n)
(/ (- x (log x)) n)
(/ (- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x)) n)
(/ (- (+ x (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ 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)
(* -1 (/ (- (* -1 x) (* -1 (log x))) n))
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(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -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))
1
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(/ (+ n x) n)
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(/ (+ n x) n)
1
(+ 1 (/ x n))
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1
(+ 1 (/ x n))
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(/ x n)
(/ x n)
(/ x n)
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(/ x n)
(/ x n)
(/ x n)
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(/ x n)
(/ x n)
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
1
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(+ 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
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(+ 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)))
(/ (* (log x) (- (* -1/2 (log x)) n)) (pow n 2))
(+ (/ x n) (/ (* (log x) (- (* -1/2 (log x)) n)) (pow n 2)))
(+ (/ x n) (/ (* (log x) (- (* -1/2 (log x)) n)) (pow n 2)))
(+ (/ x n) (/ (* (log x) (- (* -1/2 (log x)) n)) (pow n 2)))
(/ x n)
(* x (+ (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) (* (pow n 2) x))) (/ 1 n)))
(* x (+ (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) (* (pow n 2) x))) (/ 1 n)))
(* x (+ (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) (* (pow n 2) x))) (/ 1 n)))
(/ x n)
(* -1 (* x (- (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) (* (pow n 2) x))) (/ 1 n))))
(* -1 (* x (- (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) (* (pow n 2) x))) (/ 1 n))))
(* -1 (* x (- (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) (* (pow n 2) x))) (/ 1 n))))
(* -1/2 (/ (pow (log x) 2) (pow n 2)))
(/ (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) (pow n 2))
(/ (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) (pow n 2))
(/ (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) (pow n 2))
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(/ (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) n)
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(* n x)
(* -1 (* x (+ (* -1 n) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) x)))))
(* -1 (* x (+ (* -1 n) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) x)))))
(* -1 (* x (+ (* -1 n) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) x)))))
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(+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x)))))
(+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x)))))
(* n (+ x (* -1 (log x))))
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(* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n))
(* -1/2 (pow (log x) 2))
(+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2)))
(+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2)))
(+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2)))
(* -1 (* n (log x)))
(* n (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))))
(* n (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))))
(* n (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))))
(* -1 (* n (log x)))
(* -1 (* n (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))))
(* -1 (* n (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))))
(* -1 (* n (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow n 2)
(pow n 2)
(pow n 2)
(pow n 2)
(pow n 2)
(pow n 2)
(pow n 2)
(pow n 2)
(pow n 2)
(pow n 2)
(pow n 2)
(pow n 2)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
Outputs
(* -1 (/ (log x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(/.f64 (-.f64 x (log.f64 x)) n)
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(-.f64 (*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 x (*.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 (-.f64 x (log.f64 x)) n))
(/ 1 (* n x))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x n))))
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (*.f64 x n)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n))) x)
(/ 1 (* n x))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x n))))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x n))))
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(* -1 (log x))
(neg.f64 (log.f64 x))
(+ x (* -1 (log x)))
(-.f64 x (log.f64 x))
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (-.f64 x (log.f64 x)))
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (log.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
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(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n))
(* -1 (* n (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n))
(* -1 (* n (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(pow n 2)
(*.f64 n n)
(pow n 2)
(*.f64 n n)
(pow n 2)
(*.f64 n n)
(pow n 2)
(*.f64 n n)
(pow n 2)
(*.f64 n n)
(pow n 2)
(*.f64 n n)
(pow n 2)
(*.f64 n n)
(pow n 2)
(*.f64 n n)
(pow n 2)
(*.f64 n n)
(pow n 2)
(*.f64 n n)
(pow n 2)
(*.f64 n n)
(pow n 2)
(*.f64 n 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)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)

eval126.0ms (0.5%)

Memory
15.8MiB live, 297.0MiB allocated
Compiler

Compiled 23 102 to 2 201 computations (90.5% saved)

prune140.0ms (0.6%)

Memory
4.3MiB live, 242.0MiB allocated
Pruning

38 alts after pruning (34 fresh and 4 done)

PrunedKeptTotal
New995111 006
Fresh82331
Picked235
Done011
Total1 005381 043
Accuracy
100.0%
Counts
1 043 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.4%
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
41.2%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
27.2%
(/.f64 (fma.f64 x n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)))) (*.f64 n n))
24.0%
(/.f64 (fma.f64 n (fma.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
6.9%
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
46.9%
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n))
51.7%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
34.4%
(/.f64 (/.f64 (fma.f64 n (/.f64 (log.f64 x) n) n) x) (*.f64 n n))
41.2%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
35.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
18.2%
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)))))))))
39.1%
(/.f64 (-.f64 x (log.f64 x)) n)
53.7%
(/.f64 (+.f64 (-.f64 x (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)) n)
48.5%
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) (*.f64 n (log.f64 (fma.f64 x x x))))
36.4%
(/.f64 (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 n n))
9.8%
(/.f64 (*.f64 x n) (*.f64 n n))
31.3%
(/.f64 (*.f64 n (-.f64 x (log.f64 x))) (*.f64 n n))
39.4%
(/.f64 (neg.f64 (log.f64 x)) n)
64.3%
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
63.8%
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64))) n)
4.7%
(/.f64 x n)
38.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))))
35.9%
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
39.3%
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x))))
36.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
64.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))
29.9%
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
35.9%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
10.2%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
10.2%
(-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
36.2%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
24.4%
(+.f64 (/.f64 x n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
27.1%
(*.f64 (fma.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 n n)))
38.6%
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))
6.8%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
4.3%
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n))
12.6%
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 n n) (fma.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)) (*.f64 x n)))) #s(literal -1 binary64)))
29.3%
#s(literal 0 binary64)
Compiler

Compiled 2 181 to 663 computations (69.6% saved)

regimes101.0ms (0.4%)

Memory
4.5MiB live, 81.3MiB allocated
Counts
74 → 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 x n) (*.f64 n n))
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.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 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(*.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)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x))))
(/.f64 (*.f64 n (-.f64 x (log.f64 x))) (*.f64 n n))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(+.f64 (/.f64 x n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))
(/.f64 (/.f64 (fma.f64 n (/.f64 (log.f64 x) n) n) x) (*.f64 n n))
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
(-.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 (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)) x (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 n n))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 x n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)))) (*.f64 n n))
(*.f64 (fma.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 n n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (fma.f64 n (fma.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n))
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) x) (log.f64 x)) n)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64))) n)
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) (*.f64 n (log.f64 (fma.f64 x x x))))
(*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 n n) (fma.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)) (*.f64 x n)))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 n) (/.f64 (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) (*.f64 n n))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 n (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.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 (-.f64 (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (log.f64 x) x))) x) (log1p.f64 x)) (log.f64 x)) n)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))))
(/.f64 (+.f64 (-.f64 x (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)) n)
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
(/.f64 (-.f64 (-.f64 (log.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)))) (neg.f64 n))
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n)
(/.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 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) 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))
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 n (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)))))))))
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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
Calls

4 calls:

35.0ms
(/.f64 #s(literal 1 binary64) n)
27.0ms
x
19.0ms
n
16.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
90.6%2x
85.6%3n
85.0%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
88.3%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes26.0ms (0.1%)

Memory
-12.9MiB live, 24.7MiB allocated
Counts
70 → 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 x n) (*.f64 n n))
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.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 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(*.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)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x))))
(/.f64 (*.f64 n (-.f64 x (log.f64 x))) (*.f64 n n))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(+.f64 (/.f64 x n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))
(/.f64 (/.f64 (fma.f64 n (/.f64 (log.f64 x) n) n) x) (*.f64 n n))
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
(-.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 (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)) x (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 n n))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 x n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)))) (*.f64 n n))
(*.f64 (fma.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 n n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (fma.f64 n (fma.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n))
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) x) (log.f64 x)) n)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64))) n)
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) (*.f64 n (log.f64 (fma.f64 x x x))))
(*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 n n) (fma.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)) (*.f64 x n)))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 n) (/.f64 (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) (*.f64 n n))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 n (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.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 (-.f64 (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (log.f64 x) x))) x) (log1p.f64 x)) (log.f64 x)) n)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))))
(/.f64 (+.f64 (-.f64 x (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)) n)
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
(/.f64 (-.f64 (-.f64 (log.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)))) (neg.f64 n))
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n)
(/.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 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n)
Outputs
(/.f64 (+.f64 (-.f64 x (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)) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
Calls

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
90.3%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes41.0ms (0.2%)

Memory
1.5MiB live, 39.4MiB allocated
Counts
64 → 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 x n) (*.f64 n n))
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.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 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(*.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)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x))))
(/.f64 (*.f64 n (-.f64 x (log.f64 x))) (*.f64 n n))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(+.f64 (/.f64 x n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))
(/.f64 (/.f64 (fma.f64 n (/.f64 (log.f64 x) n) n) x) (*.f64 n n))
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
(-.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 (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)) x (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 n n))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 x n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)))) (*.f64 n n))
(*.f64 (fma.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 n n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (fma.f64 n (fma.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n))
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) x) (log.f64 x)) n)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64))) n)
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) (*.f64 n (log.f64 (fma.f64 x x x))))
(*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 n n) (fma.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)) (*.f64 x n)))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 n) (/.f64 (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) (*.f64 n n))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 n (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.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 (-.f64 (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (log.f64 x) x))) x) (log1p.f64 x)) (log.f64 x)) n)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))))
Outputs
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
(-.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))
Calls

2 calls:

21.0ms
(/.f64 #s(literal 1 binary64) n)
17.0ms
x
Results
AccuracySegmentsBranch
88.0%4(/.f64 #s(literal 1 binary64) n)
83.7%2x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0%)

Memory
13.6MiB live, 13.6MiB allocated
Counts
36 → 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 x n) (*.f64 n n))
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.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 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(*.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)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x))))
(/.f64 (*.f64 n (-.f64 x (log.f64 x))) (*.f64 n n))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(+.f64 (/.f64 x n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))
(/.f64 (/.f64 (fma.f64 n (/.f64 (log.f64 x) n) n) x) (*.f64 n n))
Outputs
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(+.f64 (/.f64 x n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
Calls

1 calls:

10.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
88.0%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
29 → 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 x n) (*.f64 n n))
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.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 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(*.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)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x))))
(/.f64 (*.f64 n (-.f64 x (log.f64 x))) (*.f64 n n))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
Outputs
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
Calls

1 calls:

8.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
87.9%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes45.0ms (0.2%)

Memory
-1.1MiB live, 37.2MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x n) (*.f64 n n))
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.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 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(*.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)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x))))
(/.f64 (*.f64 n (-.f64 x (log.f64 x))) (*.f64 n n))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))
Outputs
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

20.0ms
n
8.0ms
x
8.0ms
(/.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
82.6%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)))
67.5%3x
76.6%4n
77.5%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes57.0ms (0.2%)

Memory
-15.8MiB live, 33.9MiB allocated
Counts
25 → 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 x n) (*.f64 n n))
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.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 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(*.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)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x))))
(/.f64 (*.f64 n (-.f64 x (log.f64 x))) (*.f64 n n))
Outputs
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
#s(literal 0 binary64)
Calls

4 calls:

34.0ms
(/.f64 #s(literal 1 binary64) n)
8.0ms
x
7.0ms
n
6.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
66.5%3x
64.7%5n
65.5%5(/.f64 #s(literal 1 binary64) n)
57.6%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)))
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes8.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
21 → 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 x n) (*.f64 n n))
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.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 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(*.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)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
Outputs
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
#s(literal 0 binary64)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
66.4%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes32.0ms (0.1%)

Memory
-11.0MiB live, 27.1MiB allocated
Counts
19 → 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 x n) (*.f64 n n))
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.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 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(*.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)))
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)
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n 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))
Calls

4 calls:

14.0ms
(/.f64 #s(literal 1 binary64) n)
6.0ms
n
6.0ms
x
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
45.2%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)))
46.7%3n
48.9%4(/.f64 #s(literal 1 binary64) n)
45.4%2x
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes11.0ms (0%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
16 → 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 x n) (*.f64 n n))
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.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)
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

2 calls:

5.0ms
(/.f64 #s(literal 1 binary64) n)
5.0ms
x
Results
AccuracySegmentsBranch
45.3%2x
48.2%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes36.0ms (0.1%)

Memory
-18.8MiB live, 19.5MiB allocated
Counts
15 → 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 x n) (*.f64 n n))
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
Outputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
Calls

3 calls:

25.0ms
n
5.0ms
x
5.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
45.6%3(/.f64 #s(literal 1 binary64) n)
47.6%5n
44.3%4x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x n) (*.f64 n n))
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
Outputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
Calls

1 calls:

4.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
45.3%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes12.0ms (0%)

Memory
14.2MiB live, 14.2MiB 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 x n) (*.f64 n n))
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n))
Outputs
#s(literal 0 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
Calls

3 calls:

4.0ms
n
4.0ms
(/.f64 #s(literal 1 binary64) n)
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%3n
35.9%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
42.7%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes3.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
7 → 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 x n) (*.f64 n n))
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n))
Outputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
Calls

1 calls:

3.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
42.6%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes35.0ms (0.1%)

Memory
-27.2MiB live, 11.2MiB allocated
Accuracy

Total -16.5b remaining (-36.4%)

Threshold costs -16.5b (-36.4%)

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
x
2.0ms
(/.f64 #s(literal 1 binary64) n)
2.0ms
n
1.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
29.3%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)))
29.3%1x
29.3%1n
29.3%1(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch33.0ms (0.1%)

Memory
26.8MiB live, 26.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
0.3821283984030793
837.30528376808
Samples
10.0ms32×2valid
8.0ms45×1valid
3.0ms45×0valid
2.0ms3valid
1.0ms16×0exit
Compiler

Compiled 418 to 261 computations (37.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-pow: 14.0ms (71.7% of total)
ival-div: 2.0ms (10.2% of total)
adjust: 2.0ms (10.2% of total)
ival-sub: 1.0ms (5.1% of total)
ival-add: 1.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch103.0ms (0.4%)

Memory
-15.1MiB live, 24.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
101.0ms
0.3821283984030793
837.30528376808
Samples
83.0ms49×1valid
6.0ms21×2valid
4.0ms55×0valid
1.0ms3valid
1.0ms11×0exit
Compiler

Compiled 322 to 213 computations (33.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
adjust: 76.0ms (83.5% of total)
ival-pow: 11.0ms (12.1% of total)
ival-div: 2.0ms (2.2% of total)
ival-sub: 1.0ms (1.1% of total)
ival-add: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.0561620753965485e+208
3.1968003088433175e+213
0.0ms
4.3914765480346914e-26
4.0641841017930575e-10
0.0ms
-9.427071201271695e-59
-8.817445363299214e-59
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.0561620753965485e+208
3.1968003088433175e+213
0.0ms
4.3914765480346914e-26
4.0641841017930575e-10
0.0ms
-9.427071201271695e-59
-8.817445363299214e-59
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.0561620753965485e+208
3.1968003088433175e+213
0.0ms
4.3914765480346914e-26
4.0641841017930575e-10
0.0ms
-9.427071201271695e-59
-8.817445363299214e-59
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.3500888146621435e-7
0.0ms
-5.150824811117616e-8
-8.001469042895337e-9
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch93.0ms (0.4%)

Memory
16.6MiB live, 54.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
36.0ms
5.952320504481739e+82
2.7879552516143872e+85
53.0ms
0.3821283984030793
837.30528376808
Samples
32.0ms76×0valid
25.0ms77×2valid
18.0ms101×1valid
3.0ms30×0exit
1.0ms3valid
Compiler

Compiled 426 to 301 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-pow: 29.0ms (68.3% of total)
adjust: 4.0ms (9.4% of total)
ival-div: 4.0ms (9.4% of total)
ival-add: 3.0ms (7.1% of total)
ival-sub: 2.0ms (4.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch99.0ms (0.4%)

Memory
-19.3MiB live, 55.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
53.0ms
5.952320504481739e+82
2.7879552516143872e+85
42.0ms
0.3821283984030793
837.30528376808
Samples
63.0ms102×2valid
14.0ms80×1valid
6.0ms72×0valid
2.0ms19×0exit
1.0ms3valid
Compiler

Compiled 418 to 301 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-pow: 47.0ms (62.6% of total)
ival-div: 18.0ms (24% of total)
adjust: 4.0ms (5.3% of total)
ival-add: 3.0ms (4% of total)
ival-sub: 3.0ms (4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.6127282995647486e+154
6.489200176171155e+156
0.0ms
-5770074190.477337
-0.027878783852821276
0.0ms
-8.242217487927074e+147
-1.2679978638364604e+142
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch79.0ms (0.3%)

Memory
-10.1MiB live, 30.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
36.0ms
5.952320504481739e+82
2.7879552516143872e+85
Samples
22.0ms63×2valid
5.0ms27×1valid
3.0ms38×0valid
1.0ms10×0exit
Compiler

Compiled 178 to 141 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-pow: 18.0ms (70.7% of total)
ival-div: 2.0ms (7.9% of total)
adjust: 2.0ms (7.9% of total)
ival-add: 1.0ms (3.9% of total)
ival-sub: 1.0ms (3.9% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.6127282995647486e+154
6.489200176171155e+156
0.0ms
-5770074190.477337
-0.027878783852821276
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.0561620753965485e+208
3.1968003088433175e+213
0.0ms
-5770074190.477337
-0.027878783852821276
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5770074190.477337
-0.027878783852821276
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-5770074190.477337
-0.027878783852821276
Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify71.0ms (0.3%)

Memory
16.1MiB live, 53.6MiB allocated
Algorithm
egg-herbie
Rules
520×distribute-lft-neg-in_binary64
276×neg-mul-1_binary64
266×neg-sub0_binary64
240×cancel-sign-sub_binary64
238×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0140562
1187562
2230561
3267560
4306560
5357560
6439560
7550560
8751560
91014560
101251560
111406560
121531560
131621560
141670560
151682560
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 130 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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (-.f64 x (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)) n) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5088519546561747/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100000000000000007311188218325485257111615953570420507004223762444111242223779285187536341014385741266761068799969763125334902791605243044670546908252847439043930576054277584733562461577854658781477884848504832 binary64)) (fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (-.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)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5088519546561747/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100000000000000007311188218325485257111615953570420507004223762444111242223779285187536341014385741266761068799969763125334902791605243044670546908252847439043930576054277584733562461577854658781477884848504832 binary64)) (+.f64 (/.f64 x n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5088519546561747/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100000000000000007311188218325485257111615953570420507004223762444111242223779285187536341014385741266761068799969763125334902791605243044670546908252847439043930576054277584733562461577854658781477884848504832 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #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 -944473296573929/18889465931478580854784 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 #s(literal 1 binary64) x) x)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 13000000000000000535286355338301538774348351956091788393177388841726680493391137996800 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 1300000000000000053528635533830153877434835195609178839317738884172668049339113799680 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 0 binary64)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000 binary64)) #s(literal 0 binary64) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n 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)))))
(if (<=.f64 x #s(literal 23500000000000001033995972599915894971271596442521939138158250715528870076154405453824 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 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000 binary64)) #s(literal 0 binary64) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000 binary64)) #s(literal 0 binary64) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100000000000000007311188218325485257111615953570420507004223762444111242223779285187536341014385741266761068799969763125334902791605243044670546908252847439043930576054277584733562461577854658781477884848504832 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
#s(literal 0 binary64)
Outputs
(if (<=.f64 x #s(literal 130 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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(if (<=.f64 x #s(literal 130 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n) (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (-.f64 x (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)) n) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (-.f64 x (log.f64 x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) n)) n) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
#s(literal 0 binary64)

soundness1.5s (6.3%)

Memory
29.0MiB live, 1 412.9MiB allocated
Rules
11 538×accelerator-lowering-fma.f32
11 538×accelerator-lowering-fma.f64
9 136×accelerator-lowering-fma.f32
9 136×accelerator-lowering-fma.f64
8 270×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031142
1196142
21742142
08264133
034170
1206160
21712160
08164131
03403237
110783108
228523022
082902900
0826
15826
240226
3432426
0839922
02401483
17001377
219661308
369321308
081281194
05634399
118073984
253783875
083973526
0145613930
1468013235
0905112215
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 313 to 646 computations (50.8% saved)

preprocess116.0ms (0.5%)

Memory
7.5MiB live, 201.7MiB allocated
Compiler

Compiled 1 166 to 290 computations (75.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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