2nthrt (problem 3.4.6)

Time bar (total: 26.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze200.0ms (0.8%)

Memory
36.8MiB live, 308.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.5%62.4%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
45.2%43.7%53.1%0.1%0%3.1%0%7
45.2%43.7%53.1%0.1%0%3.1%0%8
50.8%46.8%45.3%0.1%0%7.8%0%9
50.8%46.8%45.3%0.1%0%7.8%0%10
53.9%48.4%41.4%0.1%0%10.1%0%11
53.9%48.4%41.4%0.1%0%10.1%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample14.5s (55.1%)

Memory
131.0MiB live, 17 093.8MiB allocated
Samples
9.3s4 977×5exit
1.6s2 857×2valid
1.3s2 862×1valid
554.0ms2 408×1exit
363.0ms2 537×0valid
221.0ms1 579×0exit
9.0ms4×3exit
9.0ms4×4exit
4.0ms4×2exit
Precisions
Click to see histograms. Total time spent on operations: 11.8s
ival-pow: 9.4s (79.7% of total)
adjust: 1.2s (10.3% of total)
ival-div: 512.0ms (4.4% of total)
ival-add: 379.0ms (3.2% of total)
ival-sub: 245.0ms (2.1% of total)
ival-true: 16.0ms (0.1% of total)
exact: 12.0ms (0.1% of total)
ival-assert: 8.0ms (0.1% of total)
Bogosity

explain333.0ms (1.3%)

Memory
8.1MiB live, 362.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1110-0-(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
3827(8.789337205144418e-270 4.381798282998496e-151)0-(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
10-0-(pow.f64 x (/.f64 #s(literal 1 binary64) n))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-n
00-0-(/.f64 #s(literal 1 binary64) n)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))cancellation1110
pow.f64(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))sensitivity650
pow.f64(pow.f64 x (/.f64 #s(literal 1 binary64) n))sensitivity10
Confusion
Predicted +Predicted -
+1260
-4981
Precision
0.72
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12600
-49081
Precision?
0.72
Recall?
1.0
Freqs
test
numberfreq
081
1174
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
126.0ms172×2valid
119.0ms252×1valid
7.0ms88×0valid
Compiler

Compiled 87 to 28 computations (67.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 227.0ms
ival-pow: 188.0ms (82.7% of total)
adjust: 16.0ms (7% of total)
ival-div: 11.0ms (4.8% of total)
ival-sub: 6.0ms (2.6% of total)
ival-add: 5.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess29.0ms (0.1%)

Memory
8.4MiB live, 45.0MiB allocated
Algorithm
1×egg-herbie
Rules
114×sub-neg
80×lower-fma.f64
80×lower-fma.f32
66×unsub-neg
62×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 15 to 8 computations (46.7% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.3%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify10.0ms (0%)

Memory
-24.8MiB live, 13.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize118.0ms (0.4%)

Memory
11.5MiB live, 101.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.029858813241307517
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy8.276644255395361
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy25.455271414308708
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Samples
37.0ms86×2valid
34.0ms126×1valid
4.0ms44×0valid
Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-pow: 42.0ms (70.1% of total)
adjust: 7.0ms (11.7% of total)
ival-div: 4.0ms (6.7% of total)
ival-add: 3.0ms (5% of total)
ival-sub: 3.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series102.0ms (0.4%)

Memory
-13.3MiB live, 104.9MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())
#s(alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) n) (patch (/.f64 #s(literal 1 binary64) n) #<representation binary64>) () ())
#s(alt (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())
Outputs
#s(alt (- 1 (exp (/ (log x) n))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ x n)) (exp (/ (log x) n))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) (taylor 0 x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x) (taylor inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) (taylor 0 n) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) (taylor 0 n) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) (taylor 0 n) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) (taylor 0 n) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (- (log (+ 1 x)) (log x)) n) (taylor inf n) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) (taylor inf n) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n) (taylor inf n) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n) (taylor inf n) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) (taylor -inf n) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
#s(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)) (taylor -inf n) (#s(alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())) ())
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Calls

24 calls:

TimeVariablePointExpression
55.0ms
x
@-inf
(pow x (/ 1 n))
30.0ms
x
@0
(pow x (/ 1 n))
6.0ms
x
@inf
(pow x (/ 1 n))
1.0ms
x
@inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0ms
x
@-inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify512.0ms (1.9%)

Memory
-238.5MiB live, 470.3MiB allocated
Algorithm
1×egg-herbie
Rules
13 074×lower-fma.f64
13 074×lower-fma.f32
4 500×lower-*.f64
4 500×lower-*.f32
3 564×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02631714
17611578
221161504
374551498
087361380
Stop Event
1×iter limit
1×node limit
Counts
96 → 94
Calls
Call 1
Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
1
(+ 1 (/ (log x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
1
(+ 1 (/ (log x) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
Outputs
(- 1 (exp (/ (log x) n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/4 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))))) (*.f64 x (*.f64 x x))))) (/.f64 (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) n) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))))) x))) x)) x)) x)
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(-.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(/.f64 (+.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (log1p.f64 x)) (-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (log.f64 x)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n)))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 x n)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) x))) x)) x))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (/.f64 (log1p.f64 x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
(+.f64 (/.f64 (log1p.f64 x) n) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log1p.f64 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n))) n) (log1p.f64 x)) n))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
1
#s(literal 1 binary64)
(+ 1 (/ (log x) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) n))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) n) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ (log x) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) n)) n))

rewrite279.0ms (1.1%)

Memory
-2.9MiB live, 399.9MiB allocated
Rules
3 822×lower-fma.f64
3 822×lower-fma.f32
3 746×lower-*.f64
3 746×lower-*.f32
3 490×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831
01331
16331
240731
3433531
0843327
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 321
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) n)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 0 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))))
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n) (/.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))
(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))
(/.f64 #s(literal 1 binary64) n)
(/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 n))
(/.f64 #s(literal 2 binary64) (*.f64 n #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))
(/.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)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal -2 binary64) n) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) n)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) n))) #s(literal -4 binary64))
(/.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))))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) n) (/.f64 #s(literal 1 binary64) n))) (*.f64 (*.f64 #s(literal -2 binary64) n) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) n) (*.f64 (*.f64 #s(literal -2 binary64) n) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) n) (*.f64 #s(literal -2 binary64) n)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) n) (/.f64 #s(literal -1 binary64) n))) (*.f64 (*.f64 #s(literal -2 binary64) n) #s(literal -2 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 n #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 n #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) n))) #s(literal -4 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 #s(literal -2 binary64) n) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) n)))
(/.f64 (+.f64 (pow.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -3 binary64)) (pow.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) n)) #s(literal -2 binary64))
(pow.f64 n #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 n n) #s(literal -1/2 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 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64))
(*.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)))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) n)))
(exp.f64 (*.f64 (/.f64 (log.f64 x) (*.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64)))) (pow.f64 n #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n))) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (/.f64 (log.f64 x) (*.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n)))
(exp.f64 (*.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(pow.f64 x (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(pow.f64 x (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))
(pow.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64))))
(pow.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64))))
(pow.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64))
(pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64))) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) n)))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 x x) (pow.f64 n #s(literal -1/2 binary64))) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 x x) (pow.f64 n #s(literal -1/2 binary64))) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) n))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) n))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1/2 binary64))) (neg.f64 (pow.f64 n #s(literal -1/2 binary64))))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (pow.f64 n #s(literal -1/2 binary64)))) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/4 binary64))) (pow.f64 n #s(literal -1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))
(*.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3/2 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

eval93.0ms (0.4%)

Memory
-22.6MiB live, 94.0MiB allocated
Compiler

Compiled 12 228 to 1 428 computations (88.3% saved)

prune95.0ms (0.4%)

Memory
1.9MiB live, 175.1MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New46616482
Fresh000
Picked101
Done000
Total46716483
Accuracy
99.8%
Counts
483 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.0%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))))))
27.9%
(/.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)))))
20.3%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
▶60.2%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
13.3%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶18.9%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
32.4%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶40.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
37.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
57.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
70.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n))
▶76.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
72.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
63.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
52.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (log1p.f64 x)) (-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (log.f64 x)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n)))))) n))
▶52.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))))
Compiler

Compiled 1 028 to 526 computations (48.8% saved)

simplify268.0ms (1%)

Memory
-3.2MiB live, 304.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))))
cost-diff128
(-.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
cost-diff5376
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))
cost-diff7360
(+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x))))
cost-diff0
(log1p.f64 x)
cost-diff0
(/.f64 (log1p.f64 x) n)
cost-diff0
(exp.f64 (/.f64 (log1p.f64 x) n))
cost-diff0
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
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
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
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
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff0
(-.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-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
cost-diff128
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
Rules
12 550×lower-fma.f32
12 540×lower-fma.f64
3 538×lower-*.f32
3 532×lower-*.f64
3 386×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057674
0104674
1188674
2435674
31199664
43297664
08267650
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
(-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n))
(-.f64 (log.f64 x) (log1p.f64 x))
(log.f64 x)
x
(log1p.f64 x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)
(fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n))
#s(literal 1/2 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)
(*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
#s(literal 1/6 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
n
(neg.f64 n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
n
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
x
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
n
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))))
(-.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
(/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) n)
(+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x))))
(fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
(log1p.f64 x)
x
#s(literal 3 binary64)
(/.f64 #s(literal 1/6 binary64) (*.f64 n n))
#s(literal 1/6 binary64)
(*.f64 n n)
n
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
(neg.f64 (log.f64 x))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))
(pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))
(/.f64 (log.f64 x) n)
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (log1p.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log.f64 x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
(/.f64 (+.f64 (log1p.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) (log.f64 x))) n)
(-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n))
(-.f64 (log.f64 x) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)))
(-.f64 (log.f64 x) (log1p.f64 x))
(log.f64 x)
x
(log1p.f64 x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)
(fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)
(*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
#s(literal 1/6 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
n
(neg.f64 n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
n
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
x
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(fma.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
n
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal -1/6 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 n n))) n)))
(-.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
(fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal -1/6 binary64) (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 n 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)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) n)
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 n n))) n)
(+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 n n)))
(fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (log1p.f64 x))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
(log1p.f64 x)
x
#s(literal 3 binary64)
(/.f64 #s(literal 1/6 binary64) (*.f64 n n))
#s(literal 1/6 binary64)
(*.f64 n n)
n
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))
(fma.f64 (log.f64 x) (fma.f64 (log.f64 x) (/.f64 #s(literal -1/2 binary64) n) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n))
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
(neg.f64 (log.f64 x))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))
(pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))
(/.f64 (log.f64 x) n)

localize523.0ms (2%)

Memory
67.4MiB live, 786.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy14.41312767739526
(-.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
accuracy16.012794199086407
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))))
accuracy17.528013088715543
(+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x))))
accuracy26.234205697856584
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy0.029858813241307517
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy0.0512963162523781
(exp.f64 (/.f64 (log1p.f64 x) n))
accuracy0.15234375
(/.f64 (log1p.f64 x) n)
accuracy25.455271414308708
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy2.688071354395408
(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))
accuracy5.247593879695999
(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))
accuracy25.455271414308708
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy30.591573054551933
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
accuracy0
(/.f64 #s(literal 1 binary64) n)
accuracy0.029858813241307517
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy18.117270574285172
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy25.455271414308708
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy16.012794199086407
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
accuracy26.221772562687885
(-.f64 (log.f64 x) (log1p.f64 x))
accuracy26.234205697856584
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy26.239067472755057
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
Samples
204.0ms158×1valid
201.0ms89×2valid
4.0ms9×0valid
Compiler

Compiled 650 to 56 computations (91.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 338.0ms
ival-pow: 71.0ms (21% of total)
adjust: 67.0ms (19.8% of total)
ival-div: 64.0ms (18.9% of total)
ival-add: 31.0ms (9.2% of total)
ival-mult: 23.0ms (6.8% of total)
ival-sub: 23.0ms (6.8% of total)
ival-log1p: 16.0ms (4.7% of total)
ival-log: 13.0ms (3.8% of total)
ival-pow2: 10.0ms (3% of total)
ival-exp: 8.0ms (2.4% of total)
const: 7.0ms (2.1% of total)
ival-neg: 3.0ms (0.9% of total)
exact: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series139.0ms (0.5%)

Memory
-34.4MiB live, 306.1MiB allocated
Counts
22 → 468
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)) (patch (/.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)) #<representation binary64>) () ())
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (patch (-.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)) #<representation binary64>) () ())
#s(alt (-.f64 (log.f64 x) (log1p.f64 x)) (patch (-.f64 (log.f64 x) (log1p.f64 x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (patch #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (patch (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) n) (patch (/.f64 #s(literal 1 binary64) n) #<representation binary64>) () ())
#s(alt (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)) (patch (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)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (patch #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (patch (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)) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (patch (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #<representation binary64>) () ())
#s(alt (exp.f64 (/.f64 (log1p.f64 x) n)) (patch (exp.f64 (/.f64 (log1p.f64 x) n)) #<representation binary64>) () ())
#s(alt (/.f64 (log1p.f64 x) n) (patch (/.f64 (log1p.f64 x) n) #<representation binary64>) () ())
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())
#s(alt (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) (patch (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) (patch (-.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) #<representation binary64>) () ())
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Outputs
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Calls

117 calls:

TimeVariablePointExpression
36.0ms
n
@inf
(/ (log (+ 1 x)) n)
14.0ms
n
@0
(/ (log (+ 1 x)) n)
8.0ms
x
@0
(/ (- (- (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))
7.0ms
x
@-inf
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (neg n))
4.0ms
x
@inf
(- (/ (+ (+ (* (pow (log (+ 1 x)) 3) (/ 1/6 (* n n))) (log (+ 1 x))) (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (neg (log x)))) n) (* 1/6 (pow (/ (log x) n) 3)))

simplify338.0ms (1.3%)

Memory
24.0MiB live, 450.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 254×lower-fma.f64
7 254×lower-fma.f32
5 488×lower-+.f64
5 488×lower-+.f32
5 214×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133015704
1425614782
0850213638
Stop Event
1×iter limit
1×node limit
Counts
468 → 467
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))
(* -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))
(* 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))
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(/ (- (+ (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 (pow (log x) 3))
(- (pow x 3) (pow (log x) 3))
(- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3))
(- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3))
(/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) x)
(/ (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) x)
(/ (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 2))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (log (/ 1 x)) (pow x 2))) (+ (* 2 (pow (log (/ 1 x)) 2)) (+ (/ 1 (pow x 2)) (pow (log (/ 1 x)) 2))))))))) x)
(/ (- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -4/3 (/ (log (/ 1 x)) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow x 3))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow x 3))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (log (/ 1 x)) (pow x 2))) (+ (* 2 (pow (log (/ 1 x)) 2)) (+ (/ 1 (pow x 2)) (pow (log (/ 1 x)) 2))))))))))))) (/ 1 (pow x 3))) x)
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))
(* -1 (pow (log x) 2))
(- (pow x 2) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))
(* -2 (/ (log (/ 1 x)) x))
(/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 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)
(/ (- (+ (* -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)
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 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))
(* -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))
Outputs
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(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
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(/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) (* n x))
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(-.f64 (*.f64 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))

rewrite371.0ms (1.4%)

Memory
-41.3MiB live, 370.6MiB allocated
Rules
4 940×lower-*.f32
4 934×lower-*.f64
4 626×lower-fma.f32
4 616×lower-fma.f64
3 174×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057419
0104407
1497407
24505407
08294398
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 569
Calls
Call 1
Inputs
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)))
(-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n))
(-.f64 (log.f64 x) (log1p.f64 x))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
(+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))
(-.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 (neg.f64 (/.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 #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))))) #s(literal -1 binary64)))
(+.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #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)) (neg.f64 (*.f64 n n)))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #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)) 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 #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)) (neg.f64 (*.f64 n 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 #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)))
(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 #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)) (neg.f64 (*.f64 n 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 #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)) n))
(/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #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 #s(literal 1 binary64) (neg.f64 (/.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 #s(literal 1/6 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.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 #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)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.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 #s(literal 1/6 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n))))))
(/.f64 (+.f64 (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 #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)) 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 #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) #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 #s(literal 1/6 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n) (+.f64 (log.f64 (/.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 #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)) (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 #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) #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 #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))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 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 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))

eval254.0ms (1%)

Memory
18.7MiB live, 403.1MiB allocated
Compiler

Compiled 62 618 to 4 931 computations (92.1% saved)

prune246.0ms (0.9%)

Memory
-7.1MiB live, 558.9MiB allocated
Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New1 480211 501
Fresh3811
Picked415
Done000
Total1 487301 517
Accuracy
99.9%
Counts
1 517 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶28.0%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))))))
27.9%
(/.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)))))
▶28.0%
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
20.3%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
25.2%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
51.5%
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
9.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
23.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
32.4%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶9.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
29.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
✓40.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
21.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
▶33.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
37.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
36.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.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) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #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 #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)) (neg.f64 n))) (neg.f64 n)))
57.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
29.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 n (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 #s(literal 1/6 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)))) (*.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n (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 #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))))) (neg.f64 n)))
29.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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 #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) #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 #s(literal 1/6 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n) (+.f64 (log.f64 (/.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 #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)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))))))
▶72.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
24.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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 #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 (neg.f64 n) (neg.f64 n))))
63.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
39.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) 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)))
52.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (log1p.f64 x)) (-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (log.f64 x)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n)))))) n))
48.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x))) (neg.f64 n)))
21.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.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))))) n)) (-.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.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))))) n) #s(literal 2 binary64)) (*.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 6 binary64)))))))
36.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.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 #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))))))
43.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 #s(approx (+ (+ (* (pow (log (+ 1 x)) 3) (/ 1/6 (* n n))) (log (+ 1 x))) (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (neg (log x)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (neg.f64 (log.f64 x)))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))))
36.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #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))))
49.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (- (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 (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n))) (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (*.f64 n (*.f64 n n)))))
Compiler

Compiled 2 296 to 1 068 computations (53.5% saved)

simplify604.0ms (2.3%)

Memory
30.0MiB live, 296.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))))
cost-diff0
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))))))
cost-diff320
(*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))
cost-diff320
(*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))
cost-diff0
(-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))
cost-diff0
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
cost-diff320
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))
cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
cost-diff0
#s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)))
cost-diff0
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))))
cost-diff0
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff0
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
cost-diff0
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
cost-diff0
(-.f64 (-.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))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
cost-diff128
(-.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))
cost-diff128
(/.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))
Rules
9 338×lower-fma.f32
9 332×lower-fma.f64
3 964×lower-+.f32
3 952×lower-+.f64
2 430×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0871116
01511020
12781020
25851002
31459994
44849994
08158981
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n)))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n))
(-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n))
(-.f64 (log.f64 x) (log1p.f64 x))
(log.f64 x)
x
(log1p.f64 x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)
(-.f64 (*.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))
(*.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))))
#s(literal 1/2 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(/.f64 (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)
(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)))))
#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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 4 binary64))
#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))))
#s(literal -1/6 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(neg.f64 n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))))
#s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
(*.f64 x x)
x
(*.f64 n n)
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
(-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))
(*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))
(pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))
x
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) n)
n
#s(literal 3 binary64)
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) n)
#s(literal 3 binary64)
n
(pow.f64 x (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))))
(+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))
(fma.f64 x x x)
(/.f64 #s(literal 1 binary64) n)
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
(+.f64 (+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))))
(+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n)))
(pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))
(pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n) (-.f64 (log1p.f64 x) (log.f64 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))
(/.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n))
(-.f64 (-.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n))
(-.f64 (log.f64 x) (log1p.f64 x))
(log.f64 x)
x
(log1p.f64 x)
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)
(-.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))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(/.f64 (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)
(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)))))
#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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 4 binary64))
#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))))
#s(literal -1/6 binary64)
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(neg.f64 n)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (*.f64 x x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (*.f64 x x))))
#s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)))
#s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (*.f64 x x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 x x)
x
(*.f64 n n)
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (neg.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))
(fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (neg.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
(*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))
(pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))
(pow.f64 x (/.f64 #s(literal 3 binary64) n))
x
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))
(/.f64 #s(literal 3 binary64) n)
(/.f64 #s(literal 1 binary64) n)
n
#s(literal 3 binary64)
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
(fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 9 binary64) n)) (pow.f64 x (/.f64 #s(literal 9 binary64) n))) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 6 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) n)))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 9 binary64) n)) (pow.f64 x (/.f64 #s(literal 9 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 9 binary64) n))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))
(/.f64 #s(literal 9 binary64) n)
(/.f64 #s(literal 3 binary64) n)
#s(literal 3 binary64)
n
(pow.f64 x (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64)))
(pow.f64 x (/.f64 #s(literal 9 binary64) n))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 6 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) n))))
(+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))
(fma.f64 x x x)
(/.f64 #s(literal 1 binary64) n)
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
(+.f64 (+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))))
(+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 6 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) n)))
(+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n)))
(+.f64 (pow.f64 x (/.f64 #s(literal 6 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n)))
(pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))
(pow.f64 x (/.f64 #s(literal 6 binary64) n))
(*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))
(/.f64 #s(literal 6 binary64) n)
(pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) n))

localize769.0ms (2.9%)

Memory
-0.6MiB live, 872.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.5383401916806089
(pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64)))
accuracy8.476474401859083
(pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))
accuracy8.480380651859083
(pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))
accuracy25.396683333621073
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))))
accuracy0.2265625
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))
accuracy0.362843124130794
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
accuracy0.9141397763166474
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy25.452114807359823
(-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))
accuracy12.196677939471078
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
accuracy14.443925584107873
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))))
accuracy25.455271414308708
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy40.78575966125237
#s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)))
accuracy0.9141397763166474
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy6.243754221080001
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
accuracy25.455271414308708
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
accuracy17.747258989733925
(-.f64 (log.f64 x) (log1p.f64 x))
accuracy17.74980780662027
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
accuracy17.77510719555197
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy17.7815940751609
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))
Samples
341.0ms85×2valid
182.0ms87×1valid
76.0ms72×0exit
16.0ms9×1exit
2.0ms3×0valid
Compiler

Compiled 1 028 to 80 computations (92.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 559.0ms
ival-pow: 174.0ms (31.2% of total)
const: 103.0ms (18.4% of total)
adjust: 66.0ms (11.8% of total)
ival-mult: 60.0ms (10.7% of total)
ival-log: 55.0ms (9.8% of total)
ival-div: 33.0ms (5.9% of total)
ival-add: 32.0ms (5.7% of total)
ival-sub: 19.0ms (3.4% of total)
ival-pow2: 8.0ms (1.4% of total)
ival-log1p: 7.0ms (1.3% of total)
exact: 1.0ms (0.2% of total)
ival-neg: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series209.0ms (0.8%)

Memory
22.6MiB live, 268.9MiB allocated
Counts
26 → 540
Calls
Call 1
Inputs
#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())
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Outputs
#s(alt (* -1 (/ (- (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (* 1/6 (/ (pow (log x) 3) (pow n 2))))) (* -1/2 (/ (pow (log x) 2) n))) n)) (taylor 0 x) (#s(alt (/.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)) (patch (/.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)) #<representation binary64>) () ())) ())
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Calls

135 calls:

TimeVariablePointExpression
24.0ms
x
@inf
(/ (- (* (pow (+ x 1) (/ 1 n)) (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n)))) (pow x (* (/ 1 n) 3))) (+ (* (pow x (/ 1 n)) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n)))))
10.0ms
x
@inf
(/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3)))))
9.0ms
x
@-inf
(/ (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) n)) (neg n))
8.0ms
x
@-inf
(/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3)))))
6.0ms
x
@inf
(+ (* (pow x (/ 1 n)) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))))

simplify461.0ms (1.8%)

Memory
1.1MiB live, 706.1MiB allocated
Algorithm
1×egg-herbie
Rules
7 134×lower-+.f64
7 134×lower-+.f32
4 596×lower-*.f64
4 596×lower-*.f32
4 460×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0299340587
0892737658
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
Calls
Call 1
Inputs
(* -1 (/ (- (+ (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 (/ (- (+ (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)) (/ x n))
(+ (* -1 (/ (- (+ (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)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
(+ (* -1 (/ (- (+ (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)) (* 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 (/ (- (+ (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (* n x)))
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1
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(+ 1 (* -1 (/ (+ (* -81/2 (/ (pow (log (+ 1 x)) 2) n)) (* -9 (log (+ 1 x)))) n)))
(+ 1 (* -1 (/ (+ (* -9 (log (+ 1 x))) (* -1 (/ (+ (* 81/2 (pow (log (+ 1 x)) 2)) (* 243/2 (/ (pow (log (+ 1 x)) 3) n))) n))) n)))
Outputs
(* -1 (/ (- (+ (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))
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(+ (* -1 (/ (- (+ (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)) (/ x n))
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(/ (+ (* -1 (/ (- (+ (* -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)) (+ (* -1/24 (/ (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 4 (/ (pow (log (/ 1 x)) 2) (pow n 3)))) n)) (* 1/2 (/ 1 n)))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n))) x)
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(/ (+ (* -1 (/ (- (+ (* -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)) (+ (* -1/24 (/ (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 4 (/ (pow (log (/ 1 x)) 2) (pow n 3)))) n)) (* 1/2 (/ 1 n)))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x)) (+ (* -1 (/ (- (+ (* -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)) (* -1/24 (/ (+ (* -4 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 2 (/ (* (pow (log (/ 1 x)) 2) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 3)))) n))) (+ (* 1/3 (/ 1 n)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n)))) (pow x 2))) (* -1 (/ (- (+ (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)))) x)
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(/ (+ (* -1 (/ (- (+ (* -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)) (+ (* -1/24 (/ (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 4 (/ (pow (log (/ 1 x)) 2) (pow n 3)))) n)) (* 1/2 (/ 1 n)))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x)) (+ (* -1 (/ (- (+ (* -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)) (* -1/24 (/ (+ (* -4 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 2 (/ (* (pow (log (/ 1 x)) 2) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 3)))) n))) (+ (* 1/3 (/ 1 n)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n)))) (pow x 2))) (+ (* -1 (/ (- (+ (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (* -1 (/ (- (+ (* -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)) (+ (* -1/24 (/ (+ (* -4 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 3))) (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 3))) (/ (pow (+ 1 (log (/ 1 x))) 2) (pow n 3)))) n)) (* 1/4 (/ 1 n)))) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n))) (pow x 3)))))) x)
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(/ (- (+ 1 (+ (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))) (* 1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 3))))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x))
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(exp (/ (log (+ x (pow x 2))) n))
(exp.f64 (/.f64 (log.f64 (fma.f64 x x x)) n))
(exp (/ (log (+ x (pow x 2))) n))
(exp.f64 (/.f64 (log.f64 (fma.f64 x x x)) n))
(exp (/ (log (+ x (pow x 2))) n))
(exp.f64 (/.f64 (log.f64 (fma.f64 x x x)) n))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ x (pow x 2))) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 x x x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ x (pow x 2))) 2) (pow n 2))) (/ (log (+ x (pow x 2))) n)))
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1
#s(literal 1 binary64)
(+ 1 (/ (log (+ x (pow x 2))) n))
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(+ 1 (* -1 (/ (+ (* -1 (log (+ x (pow x 2)))) (* -1/2 (/ (pow (log (+ x (pow x 2))) 2) n))) n)))
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1
#s(literal 1 binary64)
(+ 1 (* 9 (/ x n)))
(fma.f64 #s(literal 9 binary64) (/.f64 x n) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (* 81/2 (/ 1 (pow n 2))) (* 9/2 (/ 1 n)))) (* 9 (/ 1 n)))))
(fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 81/2 binary64) (*.f64 n n)) (/.f64 #s(literal 9/2 binary64) n)) (/.f64 #s(literal 9 binary64) n)) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (+ (* 81/2 (/ 1 (pow n 2))) (* x (- (+ (* 3 (/ 1 n)) (* 243/2 (/ 1 (pow n 3)))) (* 81/2 (/ 1 (pow n 2)))))) (* 9/2 (/ 1 n)))) (* 9 (/ 1 n)))))
(fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (-.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 #s(literal 243/2 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 81/2 binary64) (*.f64 n n))) (/.f64 #s(literal 81/2 binary64) (*.f64 n n))) (/.f64 #s(literal 9/2 binary64) n)) (/.f64 #s(literal 9 binary64) n)) #s(literal 1 binary64))
(exp (* -9 (/ (log (/ 1 x)) n)))
(exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n))
(+ (exp (* -9 (/ (log (/ 1 x)) n))) (* 9 (/ (exp (* -9 (/ (log (/ 1 x)) n))) (* n x))))
(fma.f64 #s(literal 9 binary64) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n)) (*.f64 n x)) (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n)))
(+ (exp (* -9 (/ (log (/ 1 x)) n))) (+ (* 9 (/ (exp (* -9 (/ (log (/ 1 x)) n))) (* n x))) (/ (* (exp (* -9 (/ (log (/ 1 x)) n))) (- (* 81/2 (/ 1 (pow n 2))) (* 9/2 (/ 1 n)))) (pow x 2))))
(+.f64 (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n)) (fma.f64 #s(literal 9 binary64) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n)) (*.f64 n x)) (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n)) (/.f64 (-.f64 (/.f64 #s(literal 81/2 binary64) (*.f64 n n)) (/.f64 #s(literal 9/2 binary64) n)) (*.f64 x x)))))
(+ (exp (* -9 (/ (log (/ 1 x)) n))) (+ (* 9 (/ (exp (* -9 (/ (log (/ 1 x)) n))) (* n x))) (+ (/ (* (exp (* -9 (/ (log (/ 1 x)) n))) (- (* 81/2 (/ 1 (pow n 2))) (* 9/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -9 (/ (log (/ 1 x)) n))) (- (+ (* 3 (/ 1 n)) (* 243/2 (/ 1 (pow n 3)))) (* 81/2 (/ 1 (pow n 2))))) (pow x 3)))))
(+.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n)) (*.f64 n x)) (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n))) (fma.f64 (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 #s(literal 243/2 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 81/2 binary64) (*.f64 n n))) (*.f64 x (*.f64 x x))) (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n)) (/.f64 (-.f64 (/.f64 #s(literal 81/2 binary64) (*.f64 n n)) (/.f64 #s(literal 9/2 binary64) n)) (*.f64 x x)))))
(exp (* 9 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp.f64 (/.f64 (*.f64 #s(literal 9 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n))
(+ (exp (* 9 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* 9 (/ (exp (* 9 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x))))
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(+ (exp (* 9 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -9 (/ (exp (* 9 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (* (exp (* 9 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 81/2 (/ 1 (pow n 2))) (* 9/2 (/ 1 n)))) x))) x)))
(+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 9 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) (neg.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 9 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) n) (neg.f64 (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal 9 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) (/.f64 (-.f64 (/.f64 #s(literal 81/2 binary64) (*.f64 n n)) (/.f64 #s(literal 9/2 binary64) n)) x)))) x)))
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(exp (* 9 (/ (log (+ 1 x)) n)))
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(exp (* 9 (/ (log (+ 1 x)) n)))
(exp.f64 (/.f64 (*.f64 #s(literal 9 binary64) (log1p.f64 x)) n))
(exp (* 9 (/ (log (+ 1 x)) n)))
(exp.f64 (/.f64 (*.f64 #s(literal 9 binary64) (log1p.f64 x)) n))
(exp (* 9 (/ (log (+ 1 x)) n)))
(exp.f64 (/.f64 (*.f64 #s(literal 9 binary64) (log1p.f64 x)) n))
1
#s(literal 1 binary64)
(+ 1 (* 9 (/ (log (+ 1 x)) n)))
(fma.f64 #s(literal 9 binary64) (/.f64 (log1p.f64 x) n) #s(literal 1 binary64))
(+ 1 (+ (* 9 (/ (log (+ 1 x)) n)) (* 81/2 (/ (pow (log (+ 1 x)) 2) (pow n 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (/.f64 (*.f64 #s(literal 9 binary64) (log1p.f64 x)) n)))
(+ 1 (+ (* 9 (/ (log (+ 1 x)) n)) (+ (* 81/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (* 243/2 (/ (pow (log (+ 1 x)) 3) (pow n 3))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (/.f64 (log1p.f64 x) n) (fma.f64 #s(literal 81/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (/.f64 (*.f64 #s(literal 243/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 n (*.f64 n n))))))
1
#s(literal 1 binary64)
(+ 1 (* 9 (/ (log (+ 1 x)) n)))
(fma.f64 #s(literal 9 binary64) (/.f64 (log1p.f64 x) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -81/2 (/ (pow (log (+ 1 x)) 2) n)) (* -9 (log (+ 1 x)))) n)))
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(+ 1 (* -1 (/ (+ (* -9 (log (+ 1 x))) (* -1 (/ (+ (* 81/2 (pow (log (+ 1 x)) 2)) (* 243/2 (/ (pow (log (+ 1 x)) 3) n))) n))) n)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -9 binary64) (log1p.f64 x) (neg.f64 (/.f64 (fma.f64 #s(literal 81/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 243/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n))) n))) n)))

rewrite317.0ms (1.2%)

Memory
-13.3MiB live, 296.2MiB allocated
Rules
4 650×lower-*.f32
4 628×lower-*.f64
4 460×lower-fma.f32
4 454×lower-fma.f64
2 840×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087658
0151536
1718481
26295481
08226472
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 538
Calls
Call 1
Inputs
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n))
(-.f64 (*.f64 #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))
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(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
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#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))))
#s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
(-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(-.f64 (log.f64 x) (log1p.f64 x))
(pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))
(pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) n)) n)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (neg.f64 (/.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) n)) (*.f64 n (neg.f64 n)))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) n)) n)) n))
(-.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (/.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) n)) (*.f64 n (neg.f64 n))))
(-.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (+.f64 (log1p.f64 x) (/.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) 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 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) n)) (*.f64 n (neg.f64 n)))))
(neg.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) n)) n)) n))
(/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) n)) n)) (neg.f64 n))
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) n)) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) n)) n))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) n)) n)))))
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) n)) n)) n)
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) n)) n) #s(literal 3 binary64))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) n)) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) 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 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) n)) n) #s(literal 2 binary64))) (*.f64 (neg.f64 n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) n)) n))))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (*.f64 (neg.f64 n) (/.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) 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 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) n)) n) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) n)) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (*.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 (fma.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n)) n)) n)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (neg.f64 n)))
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(pow.f64 (fma.f64 x x x) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3/2 binary64))))
(pow.f64 (fma.f64 x x x) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3/2 binary64))))
(pow.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x x x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x x x))) (/.f64 #s(literal 3 binary64) n))
(*.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) n)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
(*.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (fma.f64 x x x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 x x x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) #s(literal 3/2 binary64)))
(exp.f64 (/.f64 (log.f64 (fma.f64 x x x)) n))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (fma.f64 x x x)))) (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n)))
(pow.f64 (fma.f64 x x x) (fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (fma.f64 x x x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) n))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (fma.f64 x x x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x x x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64))))
(exp.f64 (/.f64 (*.f64 (log1p.f64 x) #s(literal 9 binary64)) n))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (log1p.f64 x) n)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) (fma.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3/2 binary64) (/.f64 #s(literal 9 binary64) (*.f64 #s(literal 2 binary64) n)))))
(exp.f64 (*.f64 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 9 binary64) (*.f64 #s(literal 2 binary64) n)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 9 binary64) (*.f64 #s(literal 2 binary64) n)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) n)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 9 binary64) (*.f64 #s(literal 2 binary64) n))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log1p.f64 x))) (/.f64 #s(literal 9 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 9 binary64) n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3/2 binary64) (/.f64 #s(literal 9 binary64) (*.f64 #s(literal 2 binary64) n))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 9 binary64) (*.f64 #s(literal 2 binary64) n))))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 9 binary64) (*.f64 #s(literal 2 binary64) n))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) n))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 9 binary64) (*.f64 #s(literal 2 binary64) n)))
(pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 #s(literal 9 binary64) n))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) n)) (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 3 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) n)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 9 binary64) (*.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 9 binary64) (*.f64 #s(literal 2 binary64) n))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) #s(literal 3/2 binary64)))

eval249.0ms (0.9%)

Memory
42.5MiB live, 265.8MiB allocated
Compiler

Compiled 95 855 to 5 722 computations (94% saved)

prune369.0ms (1.4%)

Memory
-16.7MiB live, 260.7MiB allocated
Pruning

36 alts after pruning (33 fresh and 3 done)

PrunedKeptTotal
New1 251191 270
Fresh101424
Picked325
Done011
Total1 264361 300
Accuracy
99.9%
Counts
1 300 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.0%
(/.f64 (fma.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3/2 binary64)))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
28.1%
(/.f64 (fma.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))) (neg.f64 (pow.f64 x (/.f64 #s(literal 9 binary64) n)))) (*.f64 (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (fma.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 6 binary64) n))))))
28.1%
(/.f64 (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))) (neg.f64 (pow.f64 x (/.f64 #s(literal 6 binary64) n)))) (*.f64 (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))))
28.0%
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
28.1%
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))) (neg.f64 (pow.f64 x (/.f64 #s(literal 6 binary64) n)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
27.4%
(/.f64 #s(approx (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (/.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n)) n) (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n)) (/.f64 (-.f64 (/.f64 #s(literal 81/2 binary64) (*.f64 n n)) (/.f64 #s(literal 9/2 binary64) n)) x))) x)) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))))))
44.6%
(/.f64 #s(approx (- (* (pow (+ x 1) (/ 1 n)) (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n)))) (pow x (* (/ 1 n) 3))) (/.f64 (fma.f64 #s(literal 3 binary64) (log1p.f64 x) (*.f64 #s(literal -3 binary64) (log.f64 x))) n)) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
25.2%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
51.5%
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
6.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
9.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
▶23.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
32.4%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶11.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
19.9%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓9.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
15.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) n) (/.f64 x n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
29.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
✓40.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓33.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
▶30.0%
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) (/.f64 (*.f64 #s(literal 9 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 (*.f64 n x) (*.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n)))))))
63.0%
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) (/.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 #s(literal -9 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))) n))
63.0%
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) (*.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n)))
45.9%
#s(approx (/ (- (* (pow (+ x 1) (/ 1 n)) (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n)))) (pow x (* (/ 1 n) 3))) (+ (* (pow x (/ 1 n)) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))))) (/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 3 binary64) (log1p.f64 x) (*.f64 #s(literal -3 binary64) (log.f64 x)))) n))
45.9%
#s(approx (/ (- (* (pow (+ x 1) (/ 1 n)) (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n)))) (pow x (* (/ 1 n) 3))) (+ (* (pow x (/ 1 n)) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))))) (*.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (log1p.f64 x) #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 x))) n)))
37.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
57.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
29.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 n (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 #s(literal 1/6 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)))) (*.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n (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 #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))))) (neg.f64 n)))
29.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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 #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) #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 #s(literal 1/6 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n) (+.f64 (log.f64 (/.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 #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)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))))))
24.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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 #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 (neg.f64 n) (neg.f64 n))))
▶63.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
39.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) 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)))
41.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) n)) (-.f64 (+.f64 (+.f64 (log.f64 x) (neg.f64 x)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))) (neg.f64 n)))
42.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) n)) (+.f64 (log.f64 x) (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)))) (neg.f64 n)))
▶48.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x))) (neg.f64 n)))
43.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 #s(approx (+ (+ (* (pow (log (+ 1 x)) 3) (/ 1/6 (* n n))) (log (+ 1 x))) (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (neg (log x)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (neg.f64 (log.f64 x)))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))))
Compiler

Compiled 2 444 to 1 149 computations (53% saved)

simplify186.0ms (0.7%)

Memory
36.3MiB live, 148.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff6656
(exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n))
cost-diff6656
(exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))
cost-diff6656
(exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n))
cost-diff6912
(*.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n))))
cost-diff0
(/.f64 #s(approx (- (- (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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x))) (neg.f64 n))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x))) (neg.f64 n)))
cost-diff128
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n)))
cost-diff6784
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))
cost-diff0
(fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))
cost-diff0
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff192
(fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
cost-diff0
(/.f64 x n)
cost-diff0
(+.f64 (/.f64 x n) #s(literal 1 binary64))
cost-diff0
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
cost-diff0
(log1p.f64 x)
cost-diff0
(-.f64 (log1p.f64 x) (log.f64 x))
cost-diff0
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
Rules
4 834×lower-fma.f32
4 826×lower-fma.f64
4 286×lower-*.f32
4 264×lower-*.f64
2 580×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111850
0161842
1306806
2725802
32327729
47658729
08028712
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(/.f64 x n)
x
n
#s(literal 1 binary64)
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64)))
(fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))
x
#s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
#s(literal -1/2 binary64)
(/.f64 x n)
n
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(neg.f64 n)
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x))) (neg.f64 n)))
(/.f64 #s(approx (- (- (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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x))) (neg.f64 n))
#s(approx (- (- (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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x)))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))
#s(literal 1/6 binary64)
(/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
#s(literal 2 binary64)
(*.f64 n n)
n
(/.f64 (log.f64 x) n)
(neg.f64 x)
(neg.f64 n)
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) (/.f64 (*.f64 #s(literal 9 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 (*.f64 n x) (*.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n)))))))
(/.f64 (*.f64 #s(literal 9 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 (*.f64 n x) (*.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n))))))
(*.f64 #s(literal 9 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n)))
#s(literal 9 binary64)
(exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n))
(/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n)
(*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x)))
#s(literal -9 binary64)
(neg.f64 (log.f64 x))
(log.f64 x)
x
n
(*.f64 (*.f64 n x) (*.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n)))))
(*.f64 n x)
(*.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n))))
(*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n)))
#s(literal 3 binary64)
(exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))
(/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n)
(*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x)))
#s(literal -6 binary64)
(*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n)))
(exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n)
(*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)))
#s(literal -2 binary64)
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(/.f64 x n)
x
n
#s(literal 1 binary64)
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (neg.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64)) n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (neg.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64)) n))) #s(literal 1 binary64)))
(fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))
(fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (neg.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64)) n))) #s(literal 1 binary64))
x
#s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)))
#s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (neg.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64)) n)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))
(neg.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64)) n))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64))
#s(literal -1/2 binary64)
(/.f64 x n)
n
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(neg.f64 n)
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (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 (fma.f64 (fma.f64 (log.f64 x) (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)) (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (neg.f64 x))) (neg.f64 n)))
(/.f64 #s(approx (- (- (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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x))) (neg.f64 n))
(/.f64 #s(approx (- (- (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 (fma.f64 (fma.f64 (log.f64 x) (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)) (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (neg.f64 x))) (neg.f64 n))
#s(approx (- (- (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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x)))
#s(approx (- (- (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 (fma.f64 (fma.f64 (log.f64 x) (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)) (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x))
(/.f64 (fma.f64 (fma.f64 (log.f64 x) (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)) (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (neg.f64 x))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n)))
(fma.f64 (fma.f64 (log.f64 x) (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)) (/.f64 (log.f64 x) n) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))
(*.f64 (fma.f64 (log.f64 x) (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)) (/.f64 (log.f64 x) n))
#s(literal 1/6 binary64)
(/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 3 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
x
#s(literal 2 binary64)
(*.f64 n n)
n
(/.f64 (log.f64 x) n)
(neg.f64 x)
(neg.f64 n)
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) (/.f64 (*.f64 #s(literal 9 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 (*.f64 n x) (*.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n)))))))
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) (/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x (/.f64 #s(literal 9 binary64) n))) (*.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 6 binary64) n) (/.f64 #s(literal 2 binary64) n))) (*.f64 #s(literal 9 binary64) (*.f64 x n)))))
(/.f64 (*.f64 #s(literal 9 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 (*.f64 n x) (*.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n))))))
(/.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x (/.f64 #s(literal 9 binary64) n))) (*.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 6 binary64) n) (/.f64 #s(literal 2 binary64) n))) (*.f64 #s(literal 9 binary64) (*.f64 x n))))
(*.f64 #s(literal 9 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n)))
(*.f64 #s(literal 9 binary64) (pow.f64 x (/.f64 #s(literal 9 binary64) n)))
#s(literal 9 binary64)
(exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n))
(pow.f64 x (/.f64 #s(literal 9 binary64) n))
(/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n)
(*.f64 (/.f64 (log.f64 x) n) #s(literal 9 binary64))
(*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) #s(literal 9 binary64))
#s(literal -9 binary64)
(neg.f64 (log.f64 x))
(log.f64 x)
x
n
(*.f64 (*.f64 n x) (*.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n)))))
(*.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 6 binary64) n) (/.f64 #s(literal 2 binary64) n))) (*.f64 #s(literal 9 binary64) (*.f64 x n)))
(*.f64 n x)
(*.f64 x n)
(*.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n))))
(*.f64 #s(literal 9 binary64) (pow.f64 x (+.f64 (/.f64 #s(literal 6 binary64) n) (/.f64 #s(literal 2 binary64) n))))
(*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n)))
(*.f64 #s(literal 3 binary64) (pow.f64 x (/.f64 #s(literal 6 binary64) n)))
#s(literal 3 binary64)
(exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))
(pow.f64 x (/.f64 #s(literal 6 binary64) n))
(/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n)
(*.f64 (/.f64 (log.f64 x) n) #s(literal 6 binary64))
(*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) #s(literal 6 binary64))
#s(literal -6 binary64)
(*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n)))
(*.f64 #s(literal 3 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n))
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n)
(/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) n)
(*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) #s(literal 2 binary64))
#s(literal -2 binary64)

localize671.0ms (2.6%)

Memory
1.0MiB live, 713.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1875
(*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x)))
accuracy0.21484375
(*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x)))
accuracy0.7176029111785511
(/.f64 (*.f64 #s(literal 9 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 (*.f64 n x) (*.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n))))))
accuracy18.347708749595128
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) (/.f64 (*.f64 #s(literal 9 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 (*.f64 n x) (*.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n)))))))
accuracy0.30697250976844204
(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy0.48817942606069376
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x))) (neg.f64 n)))
accuracy1.1738145820679613
(/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
accuracy18.349743602895863
#s(approx (- (- (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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x)))
accuracy0.029858813241307517
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy0.05859375
(fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))
accuracy14.131471995529072
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64)))
accuracy25.455271414308708
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy0
(+.f64 (/.f64 x n) #s(literal 1 binary64))
accuracy0.9157503560237624
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
accuracy9.20110675383651
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
accuracy25.455271414308708
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
accuracy0
(log.f64 x)
accuracy0.125
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
accuracy0.8624473945995274
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
accuracy17.747258989733925
(-.f64 (log1p.f64 x) (log.f64 x))
Samples
215.0ms86×2valid
132.0ms64×1valid
112.0ms103×0exit
2.0ms3×0valid
Compiler

Compiled 625 to 100 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 409.0ms
ival-pow: 115.0ms (28.1% of total)
ival-mult: 105.0ms (25.7% of total)
ival-div: 51.0ms (12.5% of total)
adjust: 46.0ms (11.2% of total)
ival-add: 28.0ms (6.8% of total)
ival-pow2: 16.0ms (3.9% of total)
ival-sub: 14.0ms (3.4% of total)
ival-exp: 10.0ms (2.4% of total)
ival-log: 7.0ms (1.7% of total)
ival-log1p: 7.0ms (1.7% of total)
const: 5.0ms (1.2% of total)
ival-neg: 4.0ms (1% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series211.0ms (0.8%)

Memory
-20.0MiB live, 316.7MiB allocated
Counts
30 → 648
Calls
Call 1
Inputs
#s(alt #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (patch #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (patch (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) #<representation binary64>) () ())
#s(alt (-.f64 (log1p.f64 x) (log.f64 x)) (patch (-.f64 (log1p.f64 x) (log.f64 x)) #<representation binary64>) () ())
#s(alt (log1p.f64 x) (patch (log1p.f64 x) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) (patch (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (patch #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 (/.f64 x n) #s(literal 1 binary64)) (patch (+.f64 (/.f64 x n) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x n) (patch (/.f64 x n) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (patch (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())
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Outputs
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#s(alt (* 6 (log x)) (taylor 0 x) (#s(alt (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) (patch (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* -6 (log (/ 1 x))) (taylor inf x) (#s(alt (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) (patch (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -6 (log (/ 1 x))) (taylor inf x) (#s(alt (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) (patch (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -6 (log (/ 1 x))) (taylor inf x) (#s(alt (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) (patch (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
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#s(alt (* 9 (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) (patch (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 9 (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) (patch (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 9 (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) (patch (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 9 (+ (log -1) (* -1 (log (/ -1 x))))) (taylor -inf x) (#s(alt (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) (patch (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) #<representation binary64>) () ())) ())
Calls

162 calls:

TimeVariablePointExpression
79.0ms
x
@-inf
(/ (* 9 (exp (/ (* -9 (neg (log x))) n))) (* (* n x) (* (* 3 (exp (/ (* -6 (neg (log x))) n))) (* 3 (exp (/ (* -2 (neg (log x))) n))))))
31.0ms
n
@0
(/ (- (log (+ 1 x)) (log x)) n)
9.0ms
n
@-inf
(/ (* 9 (exp (/ (* -9 (neg (log x))) n))) (* (* n x) (* (* 3 (exp (/ (* -6 (neg (log x))) n))) (* 3 (exp (/ (* -2 (neg (log x))) n))))))
9.0ms
x
@0
(/ (* 9 (exp (/ (* -9 (neg (log x))) n))) (* (* n x) (* (* 3 (exp (/ (* -6 (neg (log x))) n))) (* 3 (exp (/ (* -2 (neg (log x))) n))))))
5.0ms
n
@inf
(/ (- (log (+ 1 x)) (log x)) n)

simplify405.0ms (1.5%)

Memory
18.0MiB live, 642.7MiB allocated
Algorithm
1×egg-herbie
Rules
6 272×lower-fma.f64
6 272×lower-fma.f32
5 616×lower-*.f64
5 616×lower-*.f32
4 586×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169926665
1561425795
0844524151
Stop Event
1×iter limit
1×node limit
Counts
648 → 647
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 (/ (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))))
(- 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))
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(* -1 (/ (- (* -9 (/ (log x) (* n x))) (+ (* -6 (/ (log x) (* n x))) (+ (* -2 (/ (log x) (* n x))) (/ 1 x)))) n))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* -9 (/ (log x) x)) (+ (* -6 (/ (log x) x)) (* -2 (/ (log x) x))))) (* 81/2 (/ (pow (log x) 2) (* n x)))) (+ (* 2 (/ (pow (log x) 2) (* n x))) (+ (* 12 (/ (pow (log x) 2) (* n x))) (+ (* 18 (/ (pow (log x) 2) (* n x))) (/ (* (+ (* -6 (log x)) (* -2 (log x))) (- (* -9 (/ (log x) x)) (+ (* -6 (/ (log x) x)) (* -2 (/ (log x) x))))) n))))) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -9 (/ (log x) x)) (+ (* -6 (/ (log x) x)) (* -2 (/ (log x) x))))) (* -1 (/ (- (+ (* -243/2 (/ (pow (log x) 3) (* n x))) (* -1 (- (* 81/2 (/ (pow (log x) 2) x)) (+ (* 2 (/ (pow (log x) 2) x)) (+ (* 12 (/ (pow (log x) 2) x)) (+ (* 18 (/ (pow (log x) 2) x)) (* (+ (* -6 (log x)) (* -2 (log x))) (- (* -9 (/ (log x) x)) (+ (* -6 (/ (log x) x)) (* -2 (/ (log x) x))))))))))) (+ (* -72 (/ (pow (log x) 3) (* n x))) (+ (* -12 (/ (pow (log x) 3) (* n x))) (+ (* -4/3 (/ (pow (log x) 3) (* n x))) (+ (/ (* (+ (* -6 (log x)) (* -2 (log x))) (- (* 81/2 (/ (pow (log x) 2) x)) (+ (* 2 (/ (pow (log x) 2) x)) (+ (* 12 (/ (pow (log x) 2) x)) (+ (* 18 (/ (pow (log x) 2) x)) (* (+ (* -6 (log x)) (* -2 (log x))) (- (* -9 (/ (log x) x)) (+ (* -6 (/ (log x) x)) (* -2 (/ (log x) x)))))))))) n) (/ (* (+ (* 2 (pow (log x) 2)) (+ (* 12 (pow (log x) 2)) (* 18 (pow (log x) 2)))) (- (* -9 (/ (log x) x)) (+ (* -6 (/ (log x) x)) (* -2 (/ (log x) x))))) n)))))) n))) n)) (/ 1 x)) n))
(* 6 (log x))
(* 6 (log x))
(* 6 (log x))
(* 6 (log x))
(* -6 (log (/ 1 x)))
(* -6 (log (/ 1 x)))
(* -6 (log (/ 1 x)))
(* -6 (log (/ 1 x)))
(* 6 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 6 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 6 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 6 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 9 (log x))
(* 9 (log x))
(* 9 (log x))
(* 9 (log x))
(* -9 (log (/ 1 x)))
(* -9 (log (/ 1 x)))
(* -9 (log (/ 1 x)))
(* -9 (log (/ 1 x)))
(* 9 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 9 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 9 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 9 (+ (log -1) (* -1 (log (/ -1 x)))))
Outputs
(- 1 (exp (/ (log x) n)))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(- (+ 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)) (exp.f64 (/.f64 (log.f64 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)))
(-.f64 (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 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) (/ (* (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 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) 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))) (- (+ (* 1/24 (/ 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 (+.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (*.f64 x (*.f64 x x))))) 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))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) 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))
(neg.f64 (/.f64 (-.f64 (neg.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 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n))) x))) x)) x))
(* -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))
(neg.f64 (/.f64 (-.f64 (neg.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 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)))) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n))))) x))) x)) x)) x))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (log1p.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/.f64 (+.f64 (log1p.f64 x) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 n n))) (+.f64 (log.f64 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)))))) 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 (log1p.f64 x) (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 n n)))) (+.f64 (log.f64 x) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n))))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(neg.f64 (/.f64 (+.f64 (neg.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))
(neg.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x))) (log.f64 x)) n))
(* -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))
(neg.f64 (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) 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))
(neg.f64 (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1/24 binary64) (-.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)) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) n))
(* -1 (/ (log x) n))
(neg.f64 (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(fma.f64 x (fma.f64 (/.f64 x n) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (/.f64 (log.f64 x) n)))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(-.f64 (*.f64 x (fma.f64 x (-.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) n) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 x (*.f64 x x))))) x)
(/ 1 (* n x))
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(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n)) 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))
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(/ (- (log (+ 1 x)) (log x)) n)
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(/ (- (log (+ 1 x)) (log x)) n)
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(/ (- (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)
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(/ (- (log (+ 1 x)) (log x)) n)
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(/ (- (log (+ 1 x)) (log x)) n)
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(/ (- (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)
(* -1 (log x))
(neg.f64 (log.f64 x))
(- x (log x))
(-.f64 x (log.f64 x))
(- (* x (+ 1 (* -1/2 x))) (log x))
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(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
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(/.f64 (-.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (log.f64 x) (*.f64 x n)) (fma.f64 #s(literal 81/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x (*.f64 n n))) (fma.f64 #s(literal 243/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 n (*.f64 n n)))) (fma.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) (*.f64 x n)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x (*.f64 n n))) (fma.f64 #s(literal 6 binary64) (/.f64 (log.f64 x) (*.f64 x n)) (fma.f64 #s(literal 12 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x (*.f64 n n))) (fma.f64 #s(literal 12 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 n (*.f64 n n)))) (fma.f64 #s(literal 18 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x (*.f64 n n))) (fma.f64 #s(literal 72 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 x (*.f64 n (*.f64 n n)))) (fma.f64 (*.f64 (log.f64 x) #s(literal 8 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 9 binary64)) x) (*.f64 (/.f64 (log.f64 x) x) #s(literal 8 binary64))) (*.f64 n n)) (fma.f64 (*.f64 (log.f64 x) #s(literal 8 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 81/2 binary64)) x) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (fma.f64 #s(literal 12 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (fma.f64 (*.f64 (log.f64 x) #s(literal 8 binary64)) (-.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 9 binary64)) x) (*.f64 (/.f64 (log.f64 x) x) #s(literal 8 binary64))) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 18 binary64)) x))))) (*.f64 n (*.f64 n n))) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 30 binary64))) (-.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 9 binary64)) x) (*.f64 (/.f64 (log.f64 x) x) #s(literal 8 binary64)))) (*.f64 n (*.f64 n n)))))))))))))) n)
(/ 1 (* n x))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(* -1 (/ (- (* -9 (/ (log x) (* n x))) (+ (* -6 (/ (log x) (* n x))) (+ (* -2 (/ (log x) (* n x))) (/ 1 x)))) n))
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -9 binary64) (/.f64 (log.f64 x) (*.f64 x n)) (/.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)) (*.f64 x n))) (fma.f64 #s(literal -2 binary64) (/.f64 (log.f64 x) (*.f64 x n)) (/.f64 #s(literal 1 binary64) x))) n))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* -9 (/ (log x) x)) (+ (* -6 (/ (log x) x)) (* -2 (/ (log x) x))))) (* 81/2 (/ (pow (log x) 2) (* n x)))) (+ (* 2 (/ (pow (log x) 2) (* n x))) (+ (* 12 (/ (pow (log x) 2) (* n x))) (+ (* 18 (/ (pow (log x) 2) (* n x))) (/ (* (+ (* -6 (log x)) (* -2 (log x))) (- (* -9 (/ (log x) x)) (+ (* -6 (/ (log x) x)) (* -2 (/ (log x) x))))) n))))) n)) (/ 1 x)) n))
(neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 81/2 binary64)) (*.f64 x n)) (-.f64 (/.f64 (*.f64 (log.f64 x) #s(literal -9 binary64)) x) (*.f64 (/.f64 (log.f64 x) x) #s(literal -8 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x n)) (fma.f64 #s(literal 12 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 x n)) (fma.f64 (*.f64 (log.f64 x) #s(literal -8 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (log.f64 x) #s(literal -9 binary64)) x) (*.f64 (/.f64 (log.f64 x) x) #s(literal -8 binary64))) n) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 18 binary64)) (*.f64 x n))))))) n) (/.f64 #s(literal 1 binary64) x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -9 (/ (log x) x)) (+ (* -6 (/ (log x) x)) (* -2 (/ (log x) x))))) (* -1 (/ (- (+ (* -243/2 (/ (pow (log x) 3) (* n x))) (* -1 (- (* 81/2 (/ (pow (log x) 2) x)) (+ (* 2 (/ (pow (log x) 2) x)) (+ (* 12 (/ (pow (log x) 2) x)) (+ (* 18 (/ (pow (log x) 2) x)) (* (+ (* -6 (log x)) (* -2 (log x))) (- (* -9 (/ (log x) x)) (+ (* -6 (/ (log x) x)) (* -2 (/ (log x) x))))))))))) (+ (* -72 (/ (pow (log x) 3) (* n x))) (+ (* -12 (/ (pow (log x) 3) (* n x))) (+ (* -4/3 (/ (pow (log x) 3) (* n x))) (+ (/ (* (+ (* -6 (log x)) (* -2 (log x))) (- (* 81/2 (/ (pow (log x) 2) x)) (+ (* 2 (/ (pow (log x) 2) x)) (+ (* 12 (/ (pow (log x) 2) x)) (+ (* 18 (/ (pow (log x) 2) x)) (* (+ (* -6 (log x)) (* -2 (log x))) (- (* -9 (/ (log x) x)) (+ (* -6 (/ (log x) x)) (* -2 (/ (log x) x)))))))))) n) (/ (* (+ (* 2 (pow (log x) 2)) (+ (* 12 (pow (log x) 2)) (* 18 (pow (log x) 2)))) (- (* -9 (/ (log x) x)) (+ (* -6 (/ (log x) x)) (* -2 (/ (log x) x))))) n)))))) n))) n)) (/ 1 x)) n))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (log.f64 x) #s(literal -9 binary64)) x) (*.f64 (/.f64 (log.f64 x) x) #s(literal -8 binary64)))) (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -243/2 binary64)) (*.f64 x n)) (-.f64 (fma.f64 #s(literal 81/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x))) (fma.f64 #s(literal 12 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (fma.f64 (*.f64 (log.f64 x) #s(literal -8 binary64)) (-.f64 (/.f64 (*.f64 (log.f64 x) #s(literal -9 binary64)) x) (*.f64 (/.f64 (log.f64 x) x) #s(literal -8 binary64))) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 18 binary64)) x))))) (fma.f64 #s(literal -72 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 x n)) (fma.f64 #s(literal -12 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 x n)) (fma.f64 #s(literal -4/3 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 x n)) (fma.f64 (*.f64 (log.f64 x) #s(literal -8 binary64)) (/.f64 (-.f64 (fma.f64 #s(literal 81/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x))) (fma.f64 #s(literal 12 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (fma.f64 (*.f64 (log.f64 x) #s(literal -8 binary64)) (-.f64 (/.f64 (*.f64 (log.f64 x) #s(literal -9 binary64)) x) (*.f64 (/.f64 (log.f64 x) x) #s(literal -8 binary64))) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 18 binary64)) x)))) n) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 30 binary64))) (-.f64 (/.f64 (*.f64 (log.f64 x) #s(literal -9 binary64)) x) (*.f64 (/.f64 (log.f64 x) x) #s(literal -8 binary64)))) n)))))) n)) n)) (/.f64 #s(literal 1 binary64) x)) n))
(* 6 (log x))
(*.f64 (log.f64 x) #s(literal 6 binary64))
(* 6 (log x))
(*.f64 (log.f64 x) #s(literal 6 binary64))
(* 6 (log x))
(*.f64 (log.f64 x) #s(literal 6 binary64))
(* 6 (log x))
(*.f64 (log.f64 x) #s(literal 6 binary64))
(* -6 (log (/ 1 x)))
(*.f64 (neg.f64 (log.f64 x)) #s(literal -6 binary64))
(* -6 (log (/ 1 x)))
(*.f64 (neg.f64 (log.f64 x)) #s(literal -6 binary64))
(* -6 (log (/ 1 x)))
(*.f64 (neg.f64 (log.f64 x)) #s(literal -6 binary64))
(* -6 (log (/ 1 x)))
(*.f64 (neg.f64 (log.f64 x)) #s(literal -6 binary64))
(* 6 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 6 binary64))
(* 6 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 6 binary64))
(* 6 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 6 binary64))
(* 6 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 6 binary64))
(* 9 (log x))
(*.f64 (log.f64 x) #s(literal 9 binary64))
(* 9 (log x))
(*.f64 (log.f64 x) #s(literal 9 binary64))
(* 9 (log x))
(*.f64 (log.f64 x) #s(literal 9 binary64))
(* 9 (log x))
(*.f64 (log.f64 x) #s(literal 9 binary64))
(* -9 (log (/ 1 x)))
(*.f64 (neg.f64 (log.f64 x)) #s(literal -9 binary64))
(* -9 (log (/ 1 x)))
(*.f64 (neg.f64 (log.f64 x)) #s(literal -9 binary64))
(* -9 (log (/ 1 x)))
(*.f64 (neg.f64 (log.f64 x)) #s(literal -9 binary64))
(* -9 (log (/ 1 x)))
(*.f64 (neg.f64 (log.f64 x)) #s(literal -9 binary64))
(* 9 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 9 binary64))
(* 9 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 9 binary64))
(* 9 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 9 binary64))
(* 9 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 9 binary64))

rewrite541.0ms (2.1%)

Memory
-42.7MiB live, 378.7MiB allocated
Rules
5 086×lower-*.f32
5 064×lower-*.f64
4 252×lower-fma.f32
4 244×lower-fma.f64
3 326×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111645
0161637
1777531
26938531
08968517
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
30 → 529
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64)))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(/.f64 x n)
(fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64)))
(fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x))) (neg.f64 n)))
(/.f64 #s(approx (- (- (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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x))) (neg.f64 n))
(*.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n))))
(exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n))
(exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))
(exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n))
(log.f64 x)
#s(approx (pow x (/ 1 n)) #s(literal 1 binary64))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
#s(approx (- (- (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 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (neg.f64 x)))
(/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) (/.f64 (*.f64 #s(literal 9 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 (*.f64 n x) (*.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n)))))))
(/.f64 (*.f64 #s(literal 9 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 (*.f64 n x) (*.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) n))))))
(*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x)))
(*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (log1p.f64 x) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (exp.f64 (log1p.f64 x))) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 (log.f64 x) n)))
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(*.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 9 binary64) (log.f64 x)) n)) (*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) n)) #s(literal 9 binary64)))) (/.f64 #s(literal 9 binary64) (*.f64 x n)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) n)) #s(literal 9 binary64))) (*.f64 x n))) (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal 9 binary64) (log.f64 x)) n)) #s(literal 9 binary64)))
(*.f64 (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal 9 binary64) (log.f64 x)) n)) (/.f64 #s(literal 9 binary64) (*.f64 x n))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) n)) #s(literal 9 binary64)))))
(*.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 9 binary64) (log.f64 x)) n)) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) n)) #s(literal 9 binary64))) (*.f64 x n))) #s(literal 9 binary64))
(*.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 9 binary64) (log.f64 x)) n)) n) (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) n)) #s(literal 9 binary64))))))
(*.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 9 binary64) (log.f64 x)) n)) (*.f64 x n)) (/.f64 #s(literal 9 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) n)) #s(literal 9 binary64)))))
(*.f64 (/.f64 #s(literal 9 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) n)) #s(literal 9 binary64)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 9 binary64) (log.f64 x)) n)) (*.f64 x n)))
(*.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 9 binary64) (log.f64 x)) n)) (*.f64 (*.f64 (*.f64 x n) #s(literal 3 binary64)) (exp.f64 (/.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) n)))) (/.f64 #s(literal 9 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(*.f64 (/.f64 #s(literal 9 binary64) (*.f64 (*.f64 (*.f64 x n) #s(literal 3 binary64)) (exp.f64 (/.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) n)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 9 binary64) (log.f64 x)) n)) (*.f64 #s(literal 3 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal -6 binary64)))
(neg.f64 (*.f64 (log.f64 x) #s(literal -6 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -6 binary64)))
(*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x)))
(*.f64 (neg.f64 (log.f64 x)) #s(literal -6 binary64))
(*.f64 #s(literal 6 binary64) (log.f64 x))
(-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal -9 binary64)))
(neg.f64 (*.f64 (log.f64 x) #s(literal -9 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -9 binary64)))
(*.f64 (neg.f64 (log.f64 x)) #s(literal -9 binary64))
(*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x)))
(*.f64 #s(literal 9 binary64) (log.f64 x))

eval228.0ms (0.9%)

Memory
31.6MiB live, 332.1MiB allocated
Compiler

Compiled 52 408 to 3 944 computations (92.5% saved)

prune234.0ms (0.9%)

Memory
-1.3MiB live, 364.9MiB allocated
Pruning

39 alts after pruning (36 fresh and 3 done)

PrunedKeptTotal
New1 299201 319
Fresh121628
Picked415
Done123
Total1 316391 355
Accuracy
99.9%
Counts
1 355 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.0%
(/.f64 (fma.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3/2 binary64)))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
28.1%
(/.f64 (fma.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))) (neg.f64 (pow.f64 x (/.f64 #s(literal 9 binary64) n)))) (*.f64 (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (fma.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 6 binary64) n))))))
28.1%
(/.f64 (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))) (neg.f64 (pow.f64 x (/.f64 #s(literal 6 binary64) n)))) (*.f64 (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))))
28.0%
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
28.1%
(/.f64 (*.f64 (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))) (neg.f64 (pow.f64 x (/.f64 #s(literal 6 binary64) n)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))) (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))
27.4%
(/.f64 #s(approx (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (/.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n)) n) (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n)) (/.f64 (-.f64 (/.f64 #s(literal 81/2 binary64) (*.f64 n n)) (/.f64 #s(literal 9/2 binary64) n)) x))) x)) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))))))
25.2%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
51.5%
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
8.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
23.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 #s(approx (+ (* -1/2 (/ x n)) (+ (* x 1/2) -1)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
16.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 x n)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
7.0%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 x x) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 x n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
32.4%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓11.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
11.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 n x)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
19.9%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
3.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
✓40.6%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓33.5%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
56.5%
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) (/.f64 (*.f64 #s(literal 9 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 (*.f64 n x) #s(approx (* (* 3 (exp (/ (* -6 (neg (log x))) n))) (* 3 (exp (/ (* -2 (neg (log x))) n)))) #s(literal 9 binary64)))))
63.0%
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) (*.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n)))
30.4%
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) #s(approx (/ (* 9 (exp (/ (* -9 (neg (log x))) n))) (* (* n x) (* (* 3 (exp (/ (* -6 (neg (log x))) n))) (* 3 (exp (/ (* -2 (neg (log x))) n)))))) (/.f64 (exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 9 binary64)) n)) (*.f64 (*.f64 x n) (exp.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 6 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) n)))))))
41.6%
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) #s(approx (/ (* 9 (exp (/ (* -9 (neg (log x))) n))) (* (* n x) (* (* 3 (exp (/ (* -6 (neg (log x))) n))) (* 3 (exp (/ (* -2 (neg (log x))) n)))))) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
45.9%
#s(approx (/ (- (* (pow (+ x 1) (/ 1 n)) (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n)))) (pow x (* (/ 1 n) 3))) (+ (* (pow x (/ 1 n)) (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (* (pow (+ x 1) (/ 1 n)) (pow (+ x 1) (/ 1 n))))) (/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 3 binary64) (log1p.f64 x) (*.f64 #s(literal -3 binary64) (log.f64 x)))) n))
57.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
62.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
54.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x)))))
55.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n)))
41.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) n)) (-.f64 (+.f64 (+.f64 (log.f64 x) (neg.f64 x)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))) (neg.f64 n)))
42.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) n)) (+.f64 (log.f64 x) (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)))) (neg.f64 n)))
30.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
46.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))) x)) n))
41.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
32.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
33.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
62.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
43.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 #s(approx (+ (+ (* (pow (log (+ 1 x)) 3) (/ 1/6 (* n n))) (log (+ 1 x))) (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (neg (log x)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (neg.f64 (log.f64 x)))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))))
62.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
30.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)))
Compiler

Compiled 3 213 to 905 computations (71.8% saved)

regimes105.0ms (0.4%)

Memory
7.3MiB live, 159.5MiB allocated
Counts
77 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) #s(approx (/ (* 9 (exp (/ (* -9 (neg (log x))) n))) (* (* n x) (* (* 3 (exp (/ (* -6 (neg (log x))) n))) (* 3 (exp (/ (* -2 (neg (log x))) n)))))) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 n x)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 x n)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
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(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) (*.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n)))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) (/.f64 (*.f64 #s(literal 9 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 (*.f64 n x) #s(approx (* (* 3 (exp (/ (* -6 (neg (log x))) n))) (* 3 (exp (/ (* -2 (neg (log x))) n)))) #s(literal 9 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x)))))
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(/.f64 (fma.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))))) (neg.f64 (pow.f64 x (/.f64 #s(literal 9 binary64) n)))) (*.f64 (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (fma.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (*.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 6 binary64) n))))))
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) (/.f64 (*.f64 #s(literal 9 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 (*.f64 n x) (*.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -6 binary64) (neg.f64 (log.f64 x))) n))) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (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)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) n)) (+.f64 (log.f64 x) (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) n)) (-.f64 (+.f64 (+.f64 (log.f64 x) (neg.f64 x)) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (*.f64 #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))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.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 #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))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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 #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 (neg.f64 n) (neg.f64 n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (- (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 (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n))) (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (*.f64 n (*.f64 n n)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log1p.f64 x)) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 x)))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))))
(/.f64 #s(approx (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (/.f64 (fma.f64 #s(literal 9 binary64) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n)) n) (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal -9 binary64) (neg.f64 (log.f64 x))) n)) (/.f64 (-.f64 (/.f64 #s(literal 81/2 binary64) (*.f64 n n)) (/.f64 #s(literal 9/2 binary64) n)) x))) x)) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.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) (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #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 #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)) (neg.f64 n))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (log1p.f64 x)) (-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (log.f64 x)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n)))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.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))))) n)) (-.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.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))))) n) #s(literal 2 binary64)) (*.f64 #s(literal 1/36 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 6 binary64)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 n (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 #s(literal 1/6 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)))) (*.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 n (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 #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))))) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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 #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) #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 #s(literal 1/6 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n) (+.f64 (log.f64 (/.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 #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)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
Calls

4 calls:

27.0ms
n
26.0ms
x
25.0ms
(/.f64 #s(literal 1 binary64) n)
22.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
88.4%2x
87.8%3n
87.8%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
87.8%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes73.0ms (0.3%)

Memory
2.6MiB live, 128.2MiB allocated
Counts
68 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) #s(approx (/ (* 9 (exp (/ (* -9 (neg (log x))) n))) (* (* n x) (* (* 3 (exp (/ (* -6 (neg (log x))) n))) (* 3 (exp (/ (* -2 (neg (log x))) n)))))) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 n x)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 x n)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.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 #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))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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 #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 (neg.f64 n) (neg.f64 n))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (+.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (- (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 (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n))) (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (*.f64 n (*.f64 n n)))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
Calls

3 calls:

23.0ms
n
23.0ms
x
23.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
87.8%3(/.f64 #s(literal 1 binary64) n)
87.8%3n
84.8%2x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes49.0ms (0.2%)

Memory
16.1MiB live, 91.0MiB allocated
Counts
36 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) #s(approx (/ (* 9 (exp (/ (* -9 (neg (log x))) n))) (* (* n x) (* (* 3 (exp (/ (* -6 (neg (log x))) n))) (* 3 (exp (/ (* -2 (neg (log x))) n)))))) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 n x)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 x n)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 x x) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 x n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) n) (/.f64 x n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 #s(approx (+ (* -1/2 (/ x n)) (+ (* x 1/2) -1)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) (*.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 #s(literal 9 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n)))
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) (/.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 #s(literal -9 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 #s(approx (+ (* -1/2 (/ x n)) (+ (* x 1/2) -1)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

14.0ms
(/.f64 #s(literal 1 binary64) n)
12.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
11.0ms
n
11.0ms
x
Results
AccuracySegmentsBranch
78.8%4x
84.2%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
84.3%4n
84.3%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes36.0ms (0.1%)

Memory
-24.5MiB live, 55.1MiB allocated
Counts
29 → 4
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) #s(approx (/ (* 9 (exp (/ (* -9 (neg (log x))) n))) (* (* n x) (* (* 3 (exp (/ (* -6 (neg (log x))) n))) (* 3 (exp (/ (* -2 (neg (log x))) n)))))) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 n x)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 x n)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 x x) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 x n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) n) (/.f64 x n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

3 calls:

15.0ms
(/.f64 #s(literal 1 binary64) n)
12.0ms
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
84.2%5n
82.0%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)))
84.2%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes35.0ms (0.1%)

Memory
28.8MiB live, 65.3MiB allocated
Counts
25 → 4
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) #s(approx (/ (* 9 (exp (/ (* -9 (neg (log x))) n))) (* (* n x) (* (* 3 (exp (/ (* -6 (neg (log x))) n))) (* 3 (exp (/ (* -2 (neg (log x))) n)))))) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 n x)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 x n)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 x x) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 x n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
Calls

4 calls:

11.0ms
n
8.0ms
x
8.0ms
(/.f64 #s(literal 1 binary64) 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
78.7%4x
71.2%6n
66.5%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)))
71.2%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes12.0ms (0%)

Memory
-18.1MiB live, 18.4MiB allocated
Counts
22 → 5
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) #s(approx (/ (* 9 (exp (/ (* -9 (neg (log x))) n))) (* (* n x) (* (* 3 (exp (/ (* -6 (neg (log x))) n))) (* 3 (exp (/ (* -2 (neg (log x))) n)))))) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 n x)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 x n)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 x x) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 x n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
72.7%5x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) #s(approx (/ (* 9 (exp (/ (* -9 (neg (log x))) n))) (* (* n x) (* (* 3 (exp (/ (* -6 (neg (log x))) n))) (* 3 (exp (/ (* -2 (neg (log x))) n)))))) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 n x)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 x n)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 x x) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 x n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
69.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) #s(approx (/ (* 9 (exp (/ (* -9 (neg (log x))) n))) (* (* n x) (* (* 3 (exp (/ (* -6 (neg (log x))) n))) (* 3 (exp (/ (* -2 (neg (log x))) n)))))) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 n x)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 x n)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 x x) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 x n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
69.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes39.0ms (0.1%)

Memory
-11.5MiB live, 40.0MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) #s(approx (/ (* 9 (exp (/ (* -9 (neg (log x))) n))) (* (* n x) (* (* 3 (exp (/ (* -6 (neg (log x))) n))) (* 3 (exp (/ (* -2 (neg (log x))) n)))))) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 n x)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 x n)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 x x) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 x n))))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

4 calls:

24.0ms
x
5.0ms
(/.f64 #s(literal 1 binary64) n)
5.0ms
n
4.0ms
(-.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
50.7%3n
46.1%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)))
50.5%3(/.f64 #s(literal 1 binary64) n)
54.1%2x
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes8.0ms (0%)

Memory
-26.5MiB live, 10.2MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) #s(approx (/ (* 9 (exp (/ (* -9 (neg (log x))) n))) (* (* n x) (* (* 3 (exp (/ (* -6 (neg (log x))) n))) (* 3 (exp (/ (* -2 (neg (log x))) n)))))) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 n x)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x #s(approx (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n))) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 x n)))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Outputs
#s(approx (/ (- (pow (+ x 1) (* (/ 3 n) 3)) (pow x (* (/ 3 n) 3))) (* (+ (pow (+ (* x x) x) (/ 1 n)) (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))) (+ (+ (pow x (* (/ 2 n) 3)) (pow (+ (* x x) x) (/ 3 n))) (pow (+ x 1) (* (/ 2 n) 3))))) #s(approx (/ (* 9 (exp (/ (* -9 (neg (log x))) n))) (* (* n x) (* (* 3 (exp (/ (* -6 (neg (log x))) n))) (* 3 (exp (/ (* -2 (neg (log x))) n)))))) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
49.9%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory
16.1MiB live, 16.1MiB allocated
Accuracy

Total -19.9b remaining (-46.8%)

Threshold costs -19.9b (-46.8%)

Counts
2 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (/ x n) 1) (/.f64 x n))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Outputs
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Calls

4 calls:

2.0ms
x
2.0ms
(/.f64 #s(literal 1 binary64) n)
1.0ms
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
33.5%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
33.5%1(/.f64 #s(literal 1 binary64) n)
33.5%1n
33.5%1x
Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch47.0ms (0.2%)

Memory
1.1MiB live, 73.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
44.0ms
1.1657563801056296e-5
2267449652.787676
Samples
16.0ms38×2valid
10.0ms56×1valid
8.0ms66×0valid
2.0ms20×0exit
Compiler

Compiled 538 to 323 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-pow: 19.0ms (70.1% of total)
adjust: 3.0ms (11.1% of total)
ival-div: 2.0ms (7.4% of total)
ival-add: 1.0ms (3.7% of total)
ival-sub: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch105.0ms (0.4%)

Memory
11.5MiB live, 159.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
41.0ms
942171755.2415229
8239817824884754.0
59.0ms
-141345486217052620.0
-9.841102535080653e-15
Samples
40.0ms83×2valid
34.0ms81×1valid
14.0ms156×0valid
Compiler

Compiled 578 to 373 computations (35.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-pow: 50.0ms (65.6% of total)
ival-div: 11.0ms (14.4% of total)
adjust: 10.0ms (13.1% of total)
ival-sub: 3.0ms (3.9% of total)
ival-add: 3.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.213619064465162e-16
1.0613776038570092e-9
0.0ms
-13034720647744053000.0
-101614630722044.84
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
3.210611755122165e+203
1.4164472581007e+204
0.0ms
1.213619064465162e-16
1.0613776038570092e-9
0.0ms
-13034720647744053000.0
-101614630722044.84
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch138.0ms (0.5%)

Memory
7.0MiB live, 210.3MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
37.0ms
1.6069159599073815e-14
5.758563774114977e-7
40.0ms
7.42157328079196e-215
3.6483721025747916e-212
55.0ms
2.6227512508372665e-253
6.780079810814277e-243
Samples
56.0ms197×1valid
47.0ms103×2valid
12.0ms132×0valid
Compiler

Compiled 620 to 373 computations (39.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-pow: 65.0ms (65% of total)
adjust: 18.0ms (18% of total)
ival-div: 6.0ms (6% of total)
ival-sub: 6.0ms (6% of total)
ival-add: 3.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch48.0ms (0.2%)

Memory
5.4MiB live, 83.1MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
44.0ms
2.908283736659143e+169
1.4816647202596197e+172
1.0ms
1.6069159599073815e-14
5.758563774114977e-7
1.0ms
7.42157328079196e-215
3.6483721025747916e-212
1.0ms
2.6227512508372665e-253
6.780079810814277e-243
Samples
26.0ms70×2valid
5.0ms53×0valid
4.0ms24×0exit
1.0ms5×1valid
Compiler

Compiled 907 to 579 computations (36.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-pow: 23.0ms (71.9% of total)
adjust: 4.0ms (12.5% of total)
ival-add: 2.0ms (6.3% of total)
ival-div: 2.0ms (6.3% of total)
ival-sub: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.908283736659143e+169
1.4816647202596197e+172
1.0ms
1.6069159599073815e-14
5.758563774114977e-7
Compiler

Compiled 521 to 345 computations (33.8% saved)

bsearch6.0ms (0%)

Memory
-35.0MiB live, 4.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
5.0ms
2.908283736659143e+169
1.4816647202596197e+172
1.0ms
1.6069159599073815e-14
5.758563774114977e-7
Compiler

Compiled 512 to 345 computations (32.6% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.908283736659143e+169
1.4816647202596197e+172
Compiler

Compiled 242 to 165 computations (31.8% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.908283736659143e+169
1.4816647202596197e+172
Compiler

Compiled 162 to 101 computations (37.7% saved)

simplify64.0ms (0.2%)

Memory
-12.9MiB live, 52.9MiB allocated
Algorithm
1×egg-herbie
Rules
400×unsub-neg_binary64
390×distribute-lft-neg-in_binary64
274×neg-mul-1_binary64
212×neg-sub0_binary64
184×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01861013
12371005
23111005
33851004
44931004
56061004
67851004
710141004
812181004
913761004
1015001004
1115791004
1216161004
1316281004
1416291004
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 30 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))))
(if (<=.f64 n #s(literal -23000000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (if (<=.f64 n #s(literal 4600000000 binary64)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -10000000000000000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 499999999999999994384553937531647238254672299147749614987517424420146305911809334222213484730003449225929602672778211227407463065378690618207626935972713119573715974831195255889365439901082129323010293760 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64))))))
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(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))
Outputs
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(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(approx (pow x (/ 1 n)) #s(literal 1 binary64)))

soundness1.5s (5.7%)

Memory
21.8MiB live, 1 237.2MiB allocated
Rules
13 074×lower-fma.f64
13 074×lower-fma.f32
7 254×lower-fma.f64
7 254×lower-fma.f32
7 134×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111645
0161637
1777531
26938531
08968517
0299340587
0892737658
0831
01331
16331
240731
3433531
0843327
0169926665
1561425795
0844524151
02631714
17611578
221161504
374551498
087361380
0133015704
1425614782
0850213638
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 890 to 395 computations (55.6% saved)

preprocess146.0ms (0.6%)

Memory
-1.8MiB live, 209.1MiB allocated
Compiler

Compiled 910 to 220 computations (75.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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