2nthrt (problem 3.4.6)

Time bar (total: 29.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze294.0ms (1%)

Memory
-41.0MiB live, 399.0MiB allocated; 125ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.5%62.4%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
45.2%43.7%53.1%0.1%0%3.1%0%7
45.2%43.7%53.1%0.1%0%3.1%0%8
50.8%46.8%45.3%0.1%0%7.8%0%9
50.8%46.8%45.3%0.1%0%7.8%0%10
53.9%48.4%41.4%0.1%0%10.1%0%11
53.9%48.4%41.4%0.1%0%10.1%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample22.6s (77.8%)

Memory
143.8MiB live, 21 072.4MiB allocated; 5.7s collecting garbage
Samples
17.6s7 141×5exit
1.8s2 890×2valid
1.5s2 812×1valid
307.0ms2 554×0valid
157.0ms1 479×0exit
Precisions
Click to see histograms. Total time spent on operations: 19.9s
ival-pow: 16.2s (81.4% of total)
adjust: 2.3s (11.4% of total)
ival-div: 656.0ms (3.3% of total)
ival-sub: 390.0ms (2% of total)
ival-add: 348.0ms (1.7% of total)
ival-true: 19.0ms (0.1% of total)
exact: 18.0ms (0.1% of total)
ival-assert: 11.0ms (0.1% of total)
Bogosity

explain278.0ms (1%)

Memory
-11.6MiB live, 137.8MiB allocated; 9ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1090-1(1.9176058262850454e-157 33422.038732183115)(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
3334(9.017478058498784e-129 1.919904028871012e-44)0-(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
00-0-(+.f64 x #s(literal 1 binary64))
01(8.930194354698723e-217 -3.6402275523766616)0-(pow.f64 x (/.f64 #s(literal 1 binary64) n))
00-0-n
00-0-(/.f64 #s(literal 1 binary64) n)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))cancellation1071
pow.f64(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))sensitivity670
pow.f64(pow.f64 x (/.f64 #s(literal 1 binary64) n))sensitivity10
-.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)))nan-rescue10
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))overflow17
(/.f64 #s(literal 1 binary64) n)overflow1
(pow.f64 x (/.f64 #s(literal 1 binary64) n))overflow34
(/.f64 #s(literal 1 binary64) n)overflow1
Confusion
Predicted +Predicted -
+1251
-5179
Precision
0.7102272727272727
Recall
0.9920634920634921
Confusion?
Predicted +Predicted MaybePredicted -
+12510
-51079
Precision?
0.711864406779661
Recall?
1.0
Freqs
test
numberfreq
080
1176
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
103.0ms224×1valid
88.0ms188×2valid
8.0ms100×0valid
Compiler

Compiled 85 to 28 computations (67.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 176.0ms
ival-pow: 133.0ms (75.7% of total)
adjust: 23.0ms (13.1% of total)
ival-div: 9.0ms (5.1% of total)
ival-add: 5.0ms (2.8% of total)
ival-sub: 5.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess12.0ms (0%)

Memory
21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02275
12871
23171
0813
01313
11613
01613
Stop Event
iter limit
saturated
iter limit
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)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.2%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify3.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) n)
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
cost-diff0
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
01334
11634
01634
Stop Event
iter limit
saturated
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)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) n)
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))

localize115.0ms (0.4%)

Memory
5.9MiB live, 50.7MiB allocated; 12ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.009070031620653759
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy7.556234989342427
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
accuracy23.541501484710558
(-.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
52.0ms94×2valid
50.0ms112×1valid
4.0ms50×0valid
Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-pow: 73.0ms (77.8% of total)
adjust: 11.0ms (11.7% of total)
ival-div: 4.0ms (4.3% of total)
ival-add: 3.0ms (3.2% of total)
ival-sub: 3.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series62.0ms (0.2%)

Memory
-6.4MiB live, 38.8MiB allocated; 8ms collecting garbage
Counts
5 → 49
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
(- 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)))
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))))
(+ 1 x)
(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 (* -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)))))
x
(* x (+ 1 (/ 1 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) (* -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 x) n)))
(exp (/ (log (+ 1 x)) n))
(/ 1 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 (/ (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 (/ (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 (+ 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 (/ (+ (* -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 (/ (+ (* -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)))
Calls

6 calls:

TimeVariablePointExpression
23.0ms
x
@0
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
18.0ms
x
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
17.0ms
x
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
1.0ms
n
@inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))
1.0ms
n
@-inf
((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n)))

simplify164.0ms (0.6%)

Memory
-29.0MiB live, 77.6MiB allocated; 33ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02631453
18451330
230851283
084231173
Stop Event
iter limit
node limit
Counts
49 → 48
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)))
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))))
(+ 1 x)
(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 (* -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)))))
x
(* x (+ 1 (/ 1 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) (* -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 x) n)))
(exp (/ (log (+ 1 x)) n))
(/ 1 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 (/ (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 (/ (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 (+ 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 (/ (+ (* -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 (/ (+ (* -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) (exp.f64 (/.f64 (log.f64 x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (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)))
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x (-.f64 #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)))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 (/.f64 x n) #s(literal 1 binary64))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #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))))
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(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(exp (/ (log x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 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)
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.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)
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(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.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 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (*.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x)
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp.f64 (/.f64 (log.f64 x) n))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (exp.f64 (/.f64 (log.f64 x) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x) (exp.f64 (/.f64 (log.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 (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x) (exp.f64 (/.f64 (log.f64 x) n)))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(/ (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 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))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) 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 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n)) (neg.f64 x)) (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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) 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 #s(literal 1/2 binary64) n)) n) (/.f64 (fma.f64 (/.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 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) #s(literal 1/4 binary64)) n)) (neg.f64 x)) (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 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))) (neg.f64 x))) x)) x)
(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 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 n x)) (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)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(-.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (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)) n))) x))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(-.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (-.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (neg.f64 n)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n)) (neg.f64 x)) (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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) 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.f64 (/.f64 (log1p.f64 x) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (- (log (+ 1 x)) (log x)) n)
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(/ (- (+ (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)
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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)
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(+.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n) #s(literal 1 binary64))
(+ 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))))
(fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n) #s(literal 1 binary64)))
(+ 1 (/ (log x) n))
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64)))
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)) (neg.f64 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 (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) (-.f64 (log1p.f64 x) (log.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 (neg.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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (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 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.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 (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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) (neg.f64 n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (neg.f64 (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)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64)))

rewrite146.0ms (0.5%)

Memory
30.1MiB live, 117.9MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0831
01331
15931
237331
3387531
0818927
Stop Event
iter limit
node limit
iter limit
Counts
5 → 295
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
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) #s(literal 3 binary64)) (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))))) (fma.f64 (-.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (-.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n))) (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64)))))
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) (-.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (-.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))
(*.f64 (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (+.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (+.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))
(*.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (/.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) (/.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (*.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) (*.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (pow.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))))
(/.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 9 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 6 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))))
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(*.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3/4 binary64)) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))))
(*.f64 (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(pow.f64 (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (log.f64 x))
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 n #s(literal -1/2 binary64))) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) (log.f64 x)))
(pow.f64 (exp.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)) (log.f64 x))
(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 x (fabs.f64 (pow.f64 n #s(literal -1/2 binary64)))) (fabs.f64 (pow.f64 n #s(literal -1/2 binary64))))
(pow.f64 (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 n #s(literal -1/2 binary64))))
(pow.f64 (pow.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64))) (log.f64 x))
(pow.f64 (pow.f64 (neg.f64 x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fabs.f64 x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 x x) (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 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)))
(pow.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))
(pow.f64 (fabs.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) (*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 x x) (*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))))
(pow.f64 (*.f64 x x) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 x x) (+.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))))
(pow.f64 (*.f64 x x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)))
(pow.f64 x (*.f64 (+.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)))
(pow.f64 x (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 x (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64)))
(pow.f64 x (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(neg.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 (/.f64 (log.f64 x) n)))
(sqrt.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) n)))
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))))
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (neg.f64 (/.f64 (log.f64 x) n))))
(fabs.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(fabs.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(+.f64 (cosh.f64 (*.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) (sinh.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))))
(+.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n)))
(+.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n)))
(exp.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64)))) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 (pow.f64 n #s(literal -1/2 binary64)) (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))))
(exp.f64 (/.f64 (log.f64 x) n))

eval73.0ms (0.2%)

Memory
-22.3MiB live, 81.4MiB allocated; 8ms collecting garbage
Compiler

Compiled 9 436 to 1 333 computations (85.9% saved)

prune17.0ms (0.1%)

Memory
32.2MiB live, 32.2MiB allocated; 0ms collecting garbage
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New34516361
Fresh000
Picked011
Done000
Total34517362
Accuracy
99.8%
Counts
362 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.2%
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
29.2%
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
29.2%
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (*.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 2 binary64)))
57.2%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
41.8%
(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
63.1%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
19.1%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
23.1%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
30.9%
(-.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)))
42.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
9.5%
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
33.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.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 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (*.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x))
38.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
42.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
65.8%
#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))
60.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
56.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
Compiler

Compiled 1 125 to 642 computations (42.9% saved)

simplify103.0ms (0.4%)

Memory
-6.9MiB live, 85.7MiB allocated; 5ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))
cost-diff0
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
cost-diff0
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
cost-diff2
(-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))
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)) (cosh.f64 (/.f64 (log.f64 x) n)))
cost-diff6
(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
cost-diff0
(/.f64 (log.f64 x) n)
cost-diff0
(exp.f64 (/.f64 (log.f64 x) n))
cost-diff0
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
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
(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))
cost-diff0
(-.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))
cost-diff0
#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))
cost-diff1
(/.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)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053436
093430
1145427
2261427
3686427
42995425
08304422
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n)
(-.f64 (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))
(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))
#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)
(-.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))
(log1p.f64 x)
x
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(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)) #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
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
(*.f64 n x)
(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(cosh.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
(sinh.f64 (/.f64 (log.f64 x) n))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))
(exp.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 3 binary64) n))
(/.f64 #s(literal 3 binary64) n)
(+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
(/.f64 #s(literal 2 binary64) n)
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
(pow.f64 n #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#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))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n)
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(-.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))
(-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))
(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))
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x))
#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)
(-.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))
(log1p.f64 x)
x
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(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)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
x
(/.f64 #s(literal 1 binary64) n)
(pow.f64 n #s(literal -1 binary64))
n
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
(*.f64 n x)
(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(cosh.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
(sinh.f64 (/.f64 (log.f64 x) n))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)))))
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))
(exp.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 3 binary64) n))
(/.f64 #s(literal 3 binary64) n)
(+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))
(fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))
(fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
(/.f64 #s(literal 2 binary64) n)
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
(pow.f64 n #s(literal -1 binary64))
#s(literal -1 binary64)

localize418.0ms (1.4%)

Memory
-17.3MiB live, 225.5MiB allocated; 8ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.016288769536884032
(pow.f64 x (/.f64 #s(literal 3 binary64) n))
accuracy0.06640625
(/.f64 (log1p.f64 x) n)
accuracy0.3867166858302058
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
accuracy23.37263472237563
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
accuracy0.06640625
(/.f64 (log1p.f64 x) n)
accuracy0.18359375
(/.f64 (log.f64 x) n)
accuracy7.149223326168395
(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
accuracy26.7122653347895
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n)))
accuracy0.021063739932729534
(exp.f64 (/.f64 (log.f64 x) n))
accuracy0.18359375
(/.f64 (log.f64 x) n)
accuracy0.845819200785207
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
accuracy17.357212993325906
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
accuracy0.0
(/.f64 #s(literal 1 binary64) n)
accuracy0.009070031620653759
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy0.290495710298469
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy23.342282734710558
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy0.289726269536884
(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy1.060503294762322
#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))
accuracy16.81419090958114
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
accuracy16.82153209313319
(-.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))
Samples
225.0ms94×2valid
57.0ms48×1valid
46.0ms5exit
45.0ms107×0exit
2.0ms0valid
Compiler

Compiled 462 to 50 computations (89.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 334.0ms
ival-pow: 103.0ms (30.9% of total)
adjust: 57.0ms (17.1% of total)
ival-pow2: 42.0ms (12.6% of total)
ival-exp: 27.0ms (8.1% of total)
ival-div: 27.0ms (8.1% of total)
ival-cosh: 15.0ms (4.5% of total)
ival-sub: 14.0ms (4.2% of total)
ival-log: 12.0ms (3.6% of total)
ival-sinh: 11.0ms (3.3% of total)
ival-log1p: 10.0ms (3% of total)
ival-add: 7.0ms (2.1% of total)
ival-mult: 7.0ms (2.1% of total)
ival-neg: 2.0ms (0.6% of total)
exact: 1.0ms (0.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series190.0ms (0.7%)

Memory
-5.5MiB live, 82.8MiB allocated; 14ms collecting garbage
Counts
23 → 255
Calls
Call 1
Inputs
(/.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)
#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))
(-.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))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x))
(-.f64 #s(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)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow.f64 x (/.f64 #s(literal 3 binary64) n))
Outputs
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- 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)))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(* -1/2 (/ (pow (log x) 2) n))
(+ x (* -1/2 (/ (pow (log x) 2) n)))
(+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))))
(+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2)))))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
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Calls

6 calls:

TimeVariablePointExpression
43.0ms
n
@0
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35.0ms
n
@-inf
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33.0ms
x
@-inf
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29.0ms
n
@inf
((/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (- (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (sinh (/ (log x) n))) (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))) (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (pow (exp 3) (/ (log (+ 1 x)) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (pow x (/ 3 n)))
27.0ms
x
@inf
((/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (- (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (sinh (/ (log x) n))) (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))) (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (pow (exp 3) (/ (log (+ 1 x)) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (pow x (/ 3 n)))

simplify202.0ms (0.7%)

Memory
30.8MiB live, 75.5MiB allocated; 3ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157115630
1544315488
0855714541
Stop Event
iter limit
node limit
Counts
255 → 255
Calls
Call 1
Inputs
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Outputs
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (- (* 27/8 (pow (log (+ 1 x)) 4)) (* 27/8 (pow (log x) 4)))) (+ (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -4/3 (pow (log x) 3)) (* -4/3 (pow (log (+ 1 x)) 3))) (* -1 (+ (* -1/2 (* (log x) (pow (log (+ 1 x)) 2))) (+ (* -1/2 (* (pow (log x) 2) (log (+ 1 x)))) (+ (* -1/6 (pow (log x) 3)) (* -1/6 (pow (log (+ 1 x)) 3))))))))) (+ (* 1/3 (* (- (* 1/3 (- (* -9/2 (pow (log (+ 1 x)) 3)) (* -9/2 (pow (log x) 3)))) (+ (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x))))))))) (* 1/3 (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))))))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))))) (* 1/3 (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x)))))))))))) n)) (* 1/3 (- (* -9/2 (pow (log (+ 1 x)) 3)) (* -9/2 (pow (log x) 3))))) (+ (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x))))))))) (* 1/3 (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))))))) n)) (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2))))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) n)) (* 1/3 (- (* -3 (log (+ 1 x))) (* -3 (log x))))) n))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 27/8 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (fma.f64 #s(literal -4/3 binary64) (+.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 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (fma.f64 (*.f64 (log1p.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.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 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))))) (*.f64 #s(literal 1/3 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))))))) (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))) (fma.f64 #s(literal 2 binary64) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) (log.f64 x))))))))) (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 (fma.f64 (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))))) (fma.f64 #s(literal 2 binary64) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) (log.f64 x)))))))))) n))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))))))) (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))) (fma.f64 #s(literal 2 binary64) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) (log.f64 x))))))))) n) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))))))) n))) n))
(* -1 (/ (- (* -3 (log (+ 1 x))) (* -3 (log x))) n))
(neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
(* -1 (/ (- (+ (* -3 (log (+ 1 x))) (* -1 (/ (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2))) n))) (* -3 (log x))) n))
(neg.f64 (/.f64 (fma.f64 (log1p.f64 x) #s(literal -3 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (log.f64 x)))) n))
(* -1 (/ (- (+ (* -3 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -9/2 (pow (log (+ 1 x)) 3)) (* -9/2 (pow (log x) 3))) n)) (* 9/2 (pow (log (+ 1 x)) 2))) (* 9/2 (pow (log x) 2))) n))) (* -3 (log x))) n))
(neg.f64 (/.f64 (-.f64 (fma.f64 (log1p.f64 x) #s(literal -3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) #s(literal -1 binary64) (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (*.f64 #s(literal -3 binary64) (log.f64 x))) n))
(* -1 (/ (- (+ (* -3 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -9/2 (pow (log (+ 1 x)) 3)) (* -1 (/ (- (* 27/8 (pow (log (+ 1 x)) 4)) (* 27/8 (pow (log x) 4))) n))) (* -9/2 (pow (log x) 3))) n)) (* 9/2 (pow (log (+ 1 x)) 2))) (* 9/2 (pow (log x) 2))) n))) (* -3 (log x))) n))
(neg.f64 (/.f64 (fma.f64 (log1p.f64 x) #s(literal -3 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -9/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 27/8 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n) #s(literal -1 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 9/2 binary64)))) n) #s(literal -1 binary64) (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) (log.f64 x)))) n))
(+ 1 (* -1 (/ (+ (* -9/2 (/ (pow (log (+ 1 x)) 2) n)) (* -3 (log (+ 1 x)))) n)))
(fma.f64 (/.f64 (fma.f64 #s(literal -9/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (*.f64 (log1p.f64 x) #s(literal -3 binary64))) n) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -3 (log (+ 1 x))) (* -1 (/ (+ (* 9/2 (/ (pow (log (+ 1 x)) 3) n)) (* 9/2 (pow (log (+ 1 x)) 2))) n))) n)))
(fma.f64 (/.f64 (fma.f64 (log1p.f64 x) #s(literal -3 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 9/2 binary64) (+.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n))) n) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -9/2 (/ (pow (log x) 2) n)) (* -3 (log x))) n)))
(fma.f64 (/.f64 (fma.f64 #s(literal -9/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 #s(literal -3 binary64) (log.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -3 (log x)) (* -1 (/ (+ (* 9/2 (/ (pow (log x) 3) n)) (* 9/2 (pow (log x) 2))) n))) n)))
(fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (log.f64 x) (neg.f64 (/.f64 (*.f64 #s(literal 9/2 binary64) (+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) n) #s(literal -1 binary64) #s(literal 1 binary64))

rewrite218.0ms (0.7%)

Memory
-33.9MiB live, 65.1MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053293
093287
1359285
22604285
09307285
Stop Event
iter limit
node limit
iter limit
Counts
23 → 409
Calls
Call 1
Inputs
(/.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)
#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))
(-.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))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x))
(-.f64 #s(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)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow.f64 x (/.f64 #s(literal 3 binary64) n))
Outputs
(/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64)) n (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 n n))
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(exp.f64 (fma.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))))
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(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 6 binary64))) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64)))
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(exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (/.f64 (log1p.f64 x) n)))
(*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
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(fma.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (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 (log.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
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(*.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 (neg.f64 (log.f64 x))))
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))
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(pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))
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(+.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (log.f64 x))))
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(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n))))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n))))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
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(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)))))
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
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(*.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))))
(*.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) n)))
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(pow.f64 x (*.f64 (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))
(pow.f64 x (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))
(pow.f64 x (/.f64 #s(literal 3 binary64) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -3 binary64) n)))
(sqrt.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
(fabs.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
(+.f64 (cosh.f64 (*.f64 (/.f64 #s(literal 3 binary64) n) (log.f64 x))) (sinh.f64 (*.f64 (/.f64 #s(literal 3 binary64) n) (log.f64 x))))
(exp.f64 (fma.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)) (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 x) (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (/.f64 #s(literal 3 binary64) n) (log.f64 x)))

eval105.0ms (0.4%)

Memory
30.7MiB live, 75.0MiB allocated; 5ms collecting garbage
Compiler

Compiled 44 525 to 3 933 computations (91.2% saved)

prune69.0ms (0.2%)

Memory
0.8MiB live, 47.4MiB allocated; 2ms collecting garbage
Pruning

37 alts after pruning (33 fresh and 4 done)

PrunedKeptTotal
New71925744
Fresh3811
Picked235
Done011
Total72437761
Accuracy
100.0%
Counts
761 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.8%
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 2 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
28.8%
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))
29.2%
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
29.3%
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
29.2%
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (*.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 2 binary64)))
29.1%
(/.f64 (*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n))))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
44.5%
(/.f64 #s(approx (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (/.f64 (-.f64 (fma.f64 (log1p.f64 x) #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal 27/8 binary64) (*.f64 #s(literal 9/2 binary64) (+.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)))))) (fma.f64 #s(literal 3 binary64) (log.f64 x) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal 27/8 binary64) (*.f64 #s(literal 9/2 binary64) (+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))))))) n)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
44.5%
(/.f64 #s(approx (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
57.2%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
41.3%
(-.f64 (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
63.1%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
19.1%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
23.1%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
30.9%
(-.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)))
42.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
57.9%
(-.f64 #s(approx (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 x))) (log.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))))))) n) #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 x) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))))) n) #s(literal -1 binary64) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
9.5%
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
29.3%
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))))
60.3%
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n) #s(literal 1/3 binary64)))
28.3%
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 n x)) (/.f64 (pow.f64 (exp.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 (log.f64 x)) n)) (fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (neg.f64 (log.f64 x)) n)) #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64)))))))
65.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n (*.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 x) (log.f64 x)))) n)) n))
65.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n)) n))
65.8%
#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))
42.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (fma.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) n) (log1p.f64 x)) (log.f64 x)) n))
49.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (*.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n))
65.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) n)))
60.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
35.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
33.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
56.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
65.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
34.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
35.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
38.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
49.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.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 n n))))
40.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
39.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
Compiler

Compiled 3 545 to 1 953 computations (44.9% saved)

simplify132.0ms (0.5%)

Memory
-19.2MiB live, 33.9MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n))
cost-diff0
(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
cost-diff0
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
cost-diff0
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
cost-diff0
(pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff0
(-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))
cost-diff0
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
cost-diff2
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
cost-diff2
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
cost-diff3
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
cost-diff0
(/.f64 #s(literal 1 binary64) n)
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
cost-diff0
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
cost-diff0
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n))
cost-diff0
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
cost-diff4
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080843
0134845
1217829
2404814
31027780
43187780
08261762
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n)
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n))
(/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.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 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
(*.f64 (-.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))
#s(literal 1/2 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
x
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)
(-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x))
(+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x)))
#s(literal 1 binary64)
(neg.f64 (log.f64 x))
(log.f64 x)
x
(*.f64 n x)
n
#s(literal 1/2 binary64)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
(-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))
(pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
x
(pow.f64 n #s(literal -1 binary64))
n
#s(literal -1 binary64)
(+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
(/.f64 #s(literal 2 binary64) n)
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))
(exp.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 x (/.f64 #s(literal 3 binary64) n))
(/.f64 #s(literal 3 binary64) n)
(-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))
(pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))
(fma.f64 x x x)
(pow.f64 n #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1/2 binary64) n)) n)) n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n)
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1/2 binary64) n)) n)) n)
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n))
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1/2 binary64) n)) n))
(/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)
(/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1/2 binary64) n)) n)
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.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 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1/2 binary64) n))
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
(*.f64 (-.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 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(-.f64 (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))
#s(literal 1/2 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) x)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (pow.f64 n #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) n)
(pow.f64 n #s(literal -1 binary64))
#s(literal 1 binary64)
n
x
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n)) x)) x)) n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n)) x)) x)) n)
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n)) x)) x))
(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)
(/.f64 (-.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n)) x)) x)
(-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n)) x))
(+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64))
(+.f64 (/.f64 (-.f64 (log.f64 x) (/.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)) n) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(/.f64 (-.f64 (log.f64 x) (/.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (log.f64 x)) x) (neg.f64 n))
(+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x)))
(neg.f64 (+.f64 #s(literal -1 binary64) (log.f64 x)))
#s(literal 1 binary64)
(neg.f64 (log.f64 x))
(log.f64 x)
x
(*.f64 n x)
n
#s(literal 1/2 binary64)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(/.f64 (log.f64 x) n)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
(-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))
(-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64))
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
x
(pow.f64 n #s(literal -1 binary64))
n
#s(literal -1 binary64)
(+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
(/.f64 #s(literal 2 binary64) n)
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))
(exp.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 x (/.f64 #s(literal 3 binary64) n))
(/.f64 #s(literal 3 binary64) n)
(-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))
(pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))
(fma.f64 x x x)
(pow.f64 n #s(literal -1 binary64))
#s(literal -1 binary64)

localize503.0ms (1.7%)

Memory
-7.3MiB live, 418.3MiB allocated; 21ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy9.696476342817673
(pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))
accuracy10.093880377910637
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
accuracy23.36419528927343
(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
accuracy23.37263472237563
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
accuracy0.021816259768442016
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))
accuracy0.9726514337718337
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
accuracy1.1904615885425578
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
accuracy23.36419528927343
(-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))
accuracy0.2109375
(/.f64 (neg.f64 (log.f64 x)) n)
accuracy1.261503800960948
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x))
accuracy7.478122812281409
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
accuracy24.295520819385388
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))
accuracy0.0
(/.f64 #s(literal 1 binary64) n)
accuracy0.08984375
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
accuracy7.811090399602708
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
accuracy23.17348985048231
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
accuracy0.356132519536884
(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy7.478122812281409
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
accuracy17.286205439790198
(-.f64 (log1p.f64 x) (log.f64 x))
accuracy17.290804342405597
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
Samples
233.0ms88×2valid
117.0ms71×1valid
51.0ms84×0exit
32.0ms3valid
3.0ms0valid
Compiler

Compiled 694 to 69 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 387.0ms
ival-pow: 145.0ms (37.4% of total)
adjust: 80.0ms (20.7% of total)
ival-div: 45.0ms (11.6% of total)
ival-exp: 25.0ms (6.5% of total)
ival-pow2: 19.0ms (4.9% of total)
ival-sub: 18.0ms (4.6% of total)
ival-mult: 18.0ms (4.6% of total)
ival-add: 17.0ms (4.4% of total)
ival-log1p: 10.0ms (2.6% of total)
ival-log: 7.0ms (1.8% of total)
ival-neg: 3.0ms (0.8% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series180.0ms (0.6%)

Memory
5.7MiB live, 197.6MiB allocated; 21ms collecting garbage
Counts
29 → 309
Calls
Call 1
Inputs
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n)
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1 binary64) n)
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
(-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))
(pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (log1p.f64 x) (log.f64 x))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x))
(/.f64 (neg.f64 (log.f64 x)) n)
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
(pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))
Outputs
(+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2)))
(+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* n x)))
(+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* x (+ n (* x (+ 1/2 (* -1/2 n)))))))
(+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* x (+ n (* x (+ 1/2 (+ (* -1/2 n) (* x (- (* 1/3 n) 1/2)))))))))
(- 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)))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(/ (exp (/ (log x) n)) (* n x))
(/ 1 (* n x))
(* 1/2 (/ (- 1 (log x)) (* n x)))
(/ (+ (* 1/2 (/ (- 1 (log x)) n)) (/ (* x (log x)) n)) x)
(/ (log x) n)
(pow (exp (/ (log x) n)) 2)
(/ (- 1 (pow (exp (/ (log x) n)) 2)) (+ 1 (exp (/ (log x) n))))
(- (+ (* x (- (+ (* 2 (/ 1 (* n (+ 1 (exp (/ (log x) n)))))) (/ (pow (exp (/ (log x) n)) 2) (* n (pow (+ 1 (exp (/ (log x) n))) 2)))) (/ 1 (* n (pow (+ 1 (exp (/ (log x) n))) 2))))) (/ 1 (+ 1 (exp (/ (log x) n))))) (/ (pow (exp (/ (log x) n)) 2) (+ 1 (exp (/ (log x) n)))))
(- (+ (* x (- (+ (* 2 (/ 1 (* n (+ 1 (exp (/ (log x) n)))))) (+ (* x (- (+ (* 2 (/ 1 (* (pow n 2) (+ 1 (exp (/ (log x) n)))))) (/ 1 (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 3)))) (+ (* 2 (/ 1 (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 2)))) (+ (/ 1 (* n (+ 1 (exp (/ (log x) n))))) (+ (/ (* (- 1 (pow (exp (/ (log x) n)) 2)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow (+ 1 (exp (/ (log x) n))) 2)) (/ (pow (exp (/ (log x) n)) 2) (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 3)))))))) (/ (pow (exp (/ (log x) n)) 2) (* n (pow (+ 1 (exp (/ (log x) n))) 2))))) (/ 1 (* n (pow (+ 1 (exp (/ (log x) n))) 2))))) (/ 1 (+ 1 (exp (/ (log x) n))))) (/ (pow (exp (/ (log x) n)) 2) (+ 1 (exp (/ (log x) n)))))
(- (+ (* x (- (+ (* 2 (/ 1 (* n (+ 1 (exp (/ (log x) n)))))) (+ (* x (- (+ (* 2 (/ 1 (* (pow n 2) (+ 1 (exp (/ (log x) n)))))) (+ (* x (- (+ (* 2/3 (/ 1 (* n (+ 1 (exp (/ (log x) n)))))) (+ (* 4/3 (/ 1 (* (pow n 3) (+ 1 (exp (/ (log x) n)))))) (+ (* 2 (/ 1 (* (pow n 3) (pow (+ 1 (exp (/ (log x) n))) 3)))) (+ (/ 1 (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 2))) (+ (/ (* (- 1 (pow (exp (/ (log x) n)) 2)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (* n (pow (+ 1 (exp (/ (log x) n))) 3))) (/ (pow (exp (/ (log x) n)) 2) (* (pow n 3) (pow (+ 1 (exp (/ (log x) n))) 4)))))))) (+ (* 2 (/ 1 (* (pow n 2) (+ 1 (exp (/ (log x) n)))))) (+ (* 2 (/ 1 (* (pow n 3) (pow (+ 1 (exp (/ (log x) n))) 2)))) (+ (/ 1 (* (pow n 3) (pow (+ 1 (exp (/ (log x) n))) 4))) (+ (/ (* (- 1 (pow (exp (/ (log x) n)) 2)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow (+ 1 (exp (/ (log x) n))) 2)) (/ (* (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (- (+ (* 2 (/ 1 (* n (+ 1 (exp (/ (log x) n)))))) (/ (pow (exp (/ (log x) n)) 2) (* n (pow (+ 1 (exp (/ (log x) n))) 2)))) (/ 1 (* n (pow (+ 1 (exp (/ (log x) n))) 2))))) (+ 1 (exp (/ (log x) n)))))))))) (/ 1 (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 3))))) (+ (* 2 (/ 1 (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 2)))) (+ (/ 1 (* n (+ 1 (exp (/ (log x) n))))) (+ (/ (* (- 1 (pow (exp (/ (log x) n)) 2)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow (+ 1 (exp (/ (log x) n))) 2)) (/ (pow (exp (/ (log x) n)) 2) (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 3)))))))) (/ (pow (exp (/ (log x) n)) 2) (* n (pow (+ 1 (exp (/ (log x) n))) 2))))) (/ 1 (* n (pow (+ 1 (exp (/ (log x) n))) 2))))) (/ 1 (+ 1 (exp (/ (log x) n))))) (/ (pow (exp (/ (log x) n)) 2) (+ 1 (exp (/ (log x) n)))))
(- 1 (pow (exp (/ (log x) n)) 2))
(- (+ 1 (* 2 (/ x n))) (pow (exp (/ (log x) n)) 2))
(- (+ 1 (* x (+ (* x (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (* 2 (/ 1 n))))) (pow (exp (/ (log x) n)) 2))
(- (+ 1 (* x (+ (* x (- (+ (* 2 (/ 1 (pow n 2))) (* x (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2)))))) (/ 1 n))) (* 2 (/ 1 n))))) (pow (exp (/ (log x) n)) 2))
1
(+ 1 (* 2 (/ x n)))
(+ 1 (* x (+ (* x (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (* 2 (/ 1 n)))))
(+ 1 (* x (+ (* x (- (+ (* 2 (/ 1 (pow n 2))) (* x (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2)))))) (/ 1 n))) (* 2 (/ 1 n)))))
(/ (* (- 1 (exp (* 2 (/ (log x) n)))) (- 1 (+ (exp (* 2 (/ (log x) n))) (exp (/ (log x) n))))) (- 1 (exp (* 3 (/ (log x) n)))))
(+ (* x (- (+ (* 2 (/ (- 1 (+ (exp (* 2 (/ (log x) n))) (exp (/ (log x) n)))) (* n (- 1 (exp (* 3 (/ (log x) n))))))) (/ (* (- 1 (exp (* 2 (/ (log x) n)))) (- (* 2 (/ 1 n)) (/ (exp (/ (log x) n)) n))) (- 1 (exp (* 3 (/ (log x) n)))))) (* 3 (/ (* (- 1 (exp (* 2 (/ (log x) n)))) (- 1 (+ (exp (* 2 (/ (log x) n))) (exp (/ (log x) n))))) (* n (pow (- 1 (exp (* 3 (/ (log x) n)))) 2)))))) (/ (* (- 1 (exp (* 2 (/ (log x) n)))) (- 1 (+ (exp (* 2 (/ (log x) n))) (exp (/ (log x) n))))) (- 1 (exp (* 3 (/ (log x) n))))))
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Calls

6 calls:

TimeVariablePointExpression
38.0ms
x
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29.0ms
x
@-inf
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26.0ms
n
@inf
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23.0ms
n
@-inf
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19.0ms
x
@0
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simplify257.0ms (0.9%)

Memory
23.6MiB live, 202.8MiB allocated; 68ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0243126656
0837524724
Stop Event
iter limit
node limit
Counts
309 → 309
Calls
Call 1
Inputs
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1
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Outputs
(+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2)))
(fma.f64 (neg.f64 n) (log.f64 x) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
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(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -1 (/ (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) n)) (* 2 (pow (log (+ 1 x)) 2))) n))) n)))
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (log1p.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 4/3 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) n))) n) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log1p.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64))
(* -1 (/ (- (* -3 (log (+ 1 x))) (* -3 (log x))) n))
(neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
(* -1 (/ (- (+ (* -3 (log (+ 1 x))) (* -1 (/ (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2))) n))) (* -3 (log x))) n))
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (log1p.f64 x) (neg.f64 (/.f64 (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -3 binary64) (log.f64 x))) n))
(* -1 (/ (- (+ (* -3 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -9/2 (pow (log (+ 1 x)) 3)) (* -9/2 (pow (log x) 3))) n)) (* 9/2 (pow (log (+ 1 x)) 2))) (* 9/2 (pow (log x) 2))) n))) (* -3 (log x))) n))
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (log1p.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) #s(literal -1 binary64) (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (*.f64 #s(literal -3 binary64) (log.f64 x))) n))
(* -1 (/ (- (+ (* -3 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -9/2 (pow (log (+ 1 x)) 3)) (* -1 (/ (- (* 27/8 (pow (log (+ 1 x)) 4)) (* 27/8 (pow (log x) 4))) n))) (* -9/2 (pow (log x) 3))) n)) (* 9/2 (pow (log (+ 1 x)) 2))) (* 9/2 (pow (log x) 2))) n))) (* -3 (log x))) n))
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (log1p.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -9/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal 27/8 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n))) (*.f64 #s(literal -9/2 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) #s(literal -1 binary64) (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (*.f64 #s(literal -3 binary64) (log.f64 x))) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ x (pow x 2)))) (* -1/2 (/ (pow (log (+ x (pow x 2))) 2) n))) n)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 (fma.f64 x x x)))) n) #s(literal -1 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (log (+ x (pow x 2)))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ x (pow x 2))) 3) n)) (* 1/2 (pow (log (+ x (pow x 2))) 2))) n))) n)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 (fma.f64 x x x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log.f64 (fma.f64 x x x)))) n) #s(literal -1 binary64) #s(literal 1 binary64))

rewrite167.0ms (0.6%)

Memory
16.6MiB live, 61.0MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080615
0134605
1535599
23994599
08203593
Stop Event
iter limit
node limit
iter limit
Counts
29 → 457
Calls
Call 1
Inputs
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n)
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 #s(literal 1 binary64) n)
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
(-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))
(pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))
(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (log1p.f64 x) (log.f64 x))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x))
(/.f64 (neg.f64 (log.f64 x)) n)
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
(pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))
Outputs
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64))) (-.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 n (-.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 3 binary64)) (*.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (neg.f64 (-.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 (neg.f64 (-.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 3 binary64)))) (neg.f64 (fma.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 (*.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 n (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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 1/8 binary64) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.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 1/8 binary64) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 3 binary64))) (fma.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 (*.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 n (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64))))
(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 n (-.f64 (log1p.f64 x) (log.f64 x))))
(fma.f64 (-.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 n (-.f64 (log1p.f64 x) (log.f64 x))))
(fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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)))))
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 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)))))
(-.f64 (/.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)) (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.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 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
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(fma.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))))
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(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)))) (/.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 2 binary64)) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)))))
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(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
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(*.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 x) (log1p.f64 x))) (cosh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))) (pow.f64 (exp.f64 (+.f64 (log.f64 x) (log1p.f64 x))) (sinh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (fma.f64 x x x) (cosh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x x) (sinh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))))
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(*.f64 (fabs.f64 (pow.f64 (fma.f64 x x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) (fabs.f64 (pow.f64 (fma.f64 x x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))))
(*.f64 (pow.f64 (fma.f64 x x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))))
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))))
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(pow.f64 (*.f64 x (exp.f64 (log1p.f64 x))) (pow.f64 n #s(literal -1 binary64)))
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(pow.f64 (*.f64 (exp.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) x)) (pow.f64 n #s(literal -1 binary64)))
(pow.f64 (*.f64 (exp.f64 (log1p.f64 x)) (exp.f64 (log.f64 x))) (pow.f64 n #s(literal -1 binary64)))
(pow.f64 (*.f64 (exp.f64 (log1p.f64 x)) x) (pow.f64 n #s(literal -1 binary64)))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (log.f64 x))) (pow.f64 n #s(literal -1 binary64)))
(pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 x) (log1p.f64 x))) (neg.f64 (pow.f64 n #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 n #s(literal -1/2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 x) (log1p.f64 x))) (fabs.f64 (pow.f64 n #s(literal -1/2 binary64)))) (fabs.f64 (pow.f64 n #s(literal -1/2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 x) (log1p.f64 x))) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
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(pow.f64 (fma.f64 x x x) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))))
(pow.f64 (fma.f64 x x x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))))
(pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 n #s(literal -1 binary64)))) (sinh.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 n #s(literal -1 binary64)))))
(exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 (log.f64 x) (log1p.f64 x)))) (pow.f64 n #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1/2 binary64)))) (pow.f64 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 -2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 n #s(literal -1 binary64))))

eval126.0ms (0.4%)

Memory
-3.5MiB live, 91.2MiB allocated; 19ms collecting garbage
Compiler

Compiled 71 304 to 5 512 computations (92.3% saved)

prune46.0ms (0.2%)

Memory
3.6MiB live, 51.6MiB allocated; 1ms collecting garbage
Pruning

40 alts after pruning (36 fresh and 4 done)

PrunedKeptTotal
New83117848
Fresh91928
Picked415
Done134
Total84540885
Accuracy
100.0%
Counts
885 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.8%
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 2 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
28.8%
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))
29.3%
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) #s(literal 4 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
29.3%
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
29.4%
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (*.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)))
44.5%
(/.f64 #s(approx (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
57.2%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
63.1%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
19.1%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
30.9%
(-.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)))
42.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
57.9%
(-.f64 #s(approx (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 x))) (log.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))))))) n) #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 x) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))))) n) #s(literal -1 binary64) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
29.3%
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))))
60.3%
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n) #s(literal 1/3 binary64)))
65.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n (*.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 x) (log.f64 x)))) n)) n))
65.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n)) n))
49.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (*.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n))
65.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) n)))
60.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
35.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
33.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
56.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
65.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 x) (log1p.f64 x)))) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
65.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
65.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
35.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
34.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
35.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
39.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) n) x)) n)) n))
40.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 n x) #s(literal -1/2 binary64) (fma.f64 (/.f64 n (*.f64 x x)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) (*.f64 x x))))))) n) x)) n)) n))
60.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) n)) n))
38.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
49.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.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 n n))))
19.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)))
39.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
39.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
38.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
39.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))))
19.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x))))
18.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))))
Compiler

Compiled 3 996 to 2 163 computations (45.9% saved)

simplify101.0ms (0.3%)

Memory
-11.6MiB live, 33.8MiB allocated; 3ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)))
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))
cost-diff0
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))))
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
#s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))))
cost-diff1
(*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))
cost-diff1
(exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))
cost-diff0
(*.f64 n x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 n x))
cost-diff0
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
cost-diff0
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n)
cost-diff0
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
cost-diff2
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
cost-diff2
(/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084558
0122552
1192550
2334550
3765546
42445540
08501520
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n)
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n))
(/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)
(fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
n
(*.f64 (-.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))
(log1p.f64 x)
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
#s(literal 1/2 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))
(/.f64 #s(literal 1 binary64) (*.f64 n x))
#s(literal 1 binary64)
(*.f64 n x)
n
x
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))
(*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))
(log.f64 (*.f64 n x))
(*.f64 n x)
n
x
#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)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)))
#s(literal 1 binary64)
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))
(exp.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
(-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))
(exp.f64 (/.f64 (log.f64 x) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log1p.f64 (/.f64 #s(literal 1 binary64) x)))) n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n)
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log1p.f64 (/.f64 #s(literal 1 binary64) x)))) n)
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n))
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log1p.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)
(fma.f64 (/.f64 #s(literal -1/2 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log1p.f64 (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(log1p.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
n
(*.f64 (-.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 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(-.f64 (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))
(log1p.f64 x)
#s(literal 2 binary64)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 x)
#s(literal 1/2 binary64)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 n x) #s(literal -1 binary64))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 n x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 n x))
(pow.f64 (*.f64 n x) #s(literal -1 binary64))
#s(literal 1 binary64)
(*.f64 n x)
n
x
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 n x) #s(literal -1 binary64))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 n x) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))
(pow.f64 (*.f64 n x) #s(literal -1 binary64))
(*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))
(neg.f64 (log.f64 (*.f64 n x)))
(log.f64 (*.f64 n x))
(*.f64 n x)
n
x
#s(literal -1 binary64)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))
(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))
(pow.f64 x (pow.f64 n #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) n)
(pow.f64 n #s(literal -1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)))
#s(literal 1 binary64)
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))
(exp.f64 #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
(-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n))
(exp.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))
(exp.f64 (/.f64 (log.f64 x) n))

localize302.0ms (1%)

Memory
-14.7MiB live, 84.8MiB allocated; 6ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))
accuracy0.1171875
(/.f64 (log.f64 x) n)
accuracy9.56352784692873
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))))
accuracy17.28769227316095
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)))
accuracy0.0
(log1p.f64 x)
accuracy0.0
(exp.f64 (/.f64 (log1p.f64 x) n))
accuracy0.03125
(/.f64 (log1p.f64 x) n)
accuracy11.46775782769441
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy1.2967233794682913
(exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))
accuracy6.347692793661479
#s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))))
accuracy8.808311516947711
(log.f64 (*.f64 n x))
accuracy15.127357340700964
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))))
accuracy0.0
(*.f64 n x)
accuracy0.3043169406499829
(/.f64 #s(literal 1 binary64) (*.f64 n x))
accuracy6.347692793661479
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))
accuracy15.127357340700964
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
accuracy0.20541000976844204
(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy6.204231083210071
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
accuracy8.517188436626505
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
accuracy8.531676234585651
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
Samples
108.0ms48×2valid
66.0ms49×1valid
66.0ms140×0invalid
8.0ms16×0exit
2.0ms0valid
Compiler

Compiled 433 to 65 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 218.0ms
ival-pow: 71.0ms (32.6% of total)
adjust: 33.0ms (15.2% of total)
ival-div: 30.0ms (13.8% of total)
ival-exp: 18.0ms (8.3% of total)
ival-log: 15.0ms (6.9% of total)
ival-sub: 13.0ms (6% of total)
ival-mult: 12.0ms (5.5% of total)
ival-add: 10.0ms (4.6% of total)
ival-pow2: 7.0ms (3.2% of total)
ival-log1p: 6.0ms (2.8% of total)
ival-neg: 3.0ms (1.4% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series253.0ms (0.9%)

Memory
9.2MiB live, 144.7MiB allocated; 15ms collecting garbage
Counts
24 → 191
Calls
Call 1
Inputs
(/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n)
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))
(/.f64 #s(literal 1 binary64) (*.f64 n x))
(*.f64 n x)
(exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))
(*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #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)
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 (*.f64 n x))
(/.f64 (log.f64 x) n)
Outputs
(/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) n)
(+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))))
(+ (* -1 (log x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))))
(+ (* -1 (log x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))))
(* -1 (log x))
(+ x (* -1 (log x)))
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))
(- 1 (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)))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
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(/ (- (+ (* -3/2 (/ (pow (log x) 2) n)) (* -1 (log x))) (* -1/3 (/ (* (log x) (+ (log x) (* 2 (log x)))) n))) n)
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(+ 1 (* 3 (/ (log x) n)))
(+ 1 (+ (* 3 (/ (log x) n)) (* 9/2 (/ (pow (log x) 2) (pow n 2)))))
(+ 1 (+ (* 3 (/ (log x) n)) (+ (* 9/2 (/ (pow (log x) 2) (pow n 2))) (* 9/2 (/ (pow (log x) 3) (pow n 3))))))
(+ (log x) (* -1 (log (/ 1 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))
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(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
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(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(* -1/3 (/ (- (* -3 (log (+ 1 x))) (* -3 (log x))) n))
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(* -1 (/ (- (* 9/2 (/ (pow (log x) 2) n)) (* -3 (log x))) n))
(* -1 (/ (- (* -1 (/ (- (* -9/2 (/ (pow (log x) 3) n)) (* 9/2 (pow (log x) 2))) n)) (* -3 (log x))) n))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/8 (/ (pow (log x) 4) n)) (* -9/2 (pow (log x) 3))) n)) (* 9/2 (pow (log x) 2))) n)) (* -3 (log x))) n))
(+ 1 (* -1 (/ (+ (* -9/2 (/ (pow (log x) 2) n)) (* -3 (log x))) n)))
(+ 1 (* -1 (/ (+ (* -3 (log x)) (* -1 (/ (+ (* 9/2 (/ (pow (log x) 3) n)) (* 9/2 (pow (log x) 2))) n))) n)))
(+ (log (* -1 x)) (* -1 (log (/ -1 n))))
Calls

6 calls:

TimeVariablePointExpression
78.0ms
x
@0
((/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (/ (+ 1 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (exp (* (log (* n x)) -1)) (* (log (* n x)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (- 1 (pow (exp 3) (/ (log x) n))) (pow (exp 3) (/ (log x) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log (* n x)) (/ (log x) n))
38.0ms
n
@-inf
((/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (/ (+ 1 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (exp (* (log (* n x)) -1)) (* (log (* n x)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (- 1 (pow (exp 3) (/ (log x) n))) (pow (exp 3) (/ (log x) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log (* n x)) (/ (log x) n))
38.0ms
x
@-inf
((/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (/ (+ 1 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (exp (* (log (* n x)) -1)) (* (log (* n x)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (- 1 (pow (exp 3) (/ (log x) n))) (pow (exp 3) (/ (log x) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log (* n x)) (/ (log x) n))
38.0ms
x
@inf
((/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (/ (+ 1 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (exp (* (log (* n x)) -1)) (* (log (* n x)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (- 1 (pow (exp 3) (/ (log x) n))) (pow (exp 3) (/ (log x) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log (* n x)) (/ (log x) n))
28.0ms
n
@inf
((/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (/ (+ 1 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (exp (* (log (* n x)) -1)) (* (log (* n x)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (- 1 (pow (exp 3) (/ (log x) n))) (pow (exp 3) (/ (log x) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log (* n x)) (/ (log x) n))

simplify273.0ms (0.9%)

Memory
19.7MiB live, 68.8MiB allocated; 136ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132811154
1452811000
0919610380
Stop Event
iter limit
node limit
Counts
191 → 190
Calls
Call 1
Inputs
(/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) n)
(+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))))
(+ (* -1 (log x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))))
(+ (* -1 (log x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))))
(* -1 (log x))
(+ x (* -1 (log x)))
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))
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Outputs
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rewrite141.0ms (0.5%)

Memory
-1.7MiB live, 48.4MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084392
0122382
1448380
23169380
08258372
Stop Event
iter limit
node limit
iter limit
Counts
24 → 298
Calls
Call 1
Inputs
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(log1p.f64 x)
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log.f64 (*.f64 n x))
(/.f64 (log.f64 x) n)
Outputs
(/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64))) (-.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n))))
(/.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) (*.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (*.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))))))) (neg.f64 (neg.f64 n)))
(/.f64 (fma.f64 (*.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64)))) n (*.f64 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)))))) (*.f64 n n))
(/.f64 (-.f64 (pow.f64 (*.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (*.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 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (*.f64 (fma.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 (*.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 n (log1p.f64 (pow.f64 x #s(literal -1 binary64))))) (pow.f64 (*.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) n))
(/.f64 (neg.f64 (fma.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (*.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)))))) (neg.f64 n))
(/.f64 (fma.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (*.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)
(neg.f64 (/.f64 (neg.f64 (fma.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (*.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))
(neg.f64 (/.f64 (fma.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (*.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))))) (neg.f64 n)))
(fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)))
(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) (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)))
(fma.f64 n (/.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)))
(fma.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)))
(-.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)) (*.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)) (*.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)))
(-.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)) (/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) n))
(+.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)))
(+.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)))
(log1p.f64 (pow.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (log1p.f64 x) (log.f64 x)))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))))
(-.f64 (log.f64 (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))))) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log.f64 (+.f64 x (*.f64 x x))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x)))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) x)))
(-.f64 (log.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))) (log.f64 (neg.f64 x)))
(-.f64 (log1p.f64 x) (log.f64 x))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (*.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)) n))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (*.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)))) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (*.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))) (neg.f64 n))
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (*.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)) n)
(neg.f64 (/.f64 (neg.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (*.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))) n))
(neg.f64 (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (*.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)) (neg.f64 n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 n x) #s(literal -1 binary64))))
#s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 n x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 n #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (exp.f64 (neg.f64 (log.f64 x))))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 (neg.f64 n) x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 n x)))
(pow.f64 (*.f64 n x) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (*.f64 n x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (*.f64 n x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (*.f64 n x))) (sinh.f64 (neg.f64 (log.f64 (*.f64 n x))))))))
(/.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) n)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 n) x))
(/.f64 (pow.f64 n #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 n) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 n x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 n x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 n x)))
(-.f64 (cosh.f64 (log.f64 (*.f64 n x))) (sinh.f64 (log.f64 (*.f64 n x))))
(+.f64 (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))) (cosh.f64 (log.f64 (*.f64 n x))))
(+.f64 (cosh.f64 (log.f64 (*.f64 n x))) (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (*.f64 n x))))
(exp.f64 (neg.f64 (log.f64 (*.f64 n x))))
(*.f64 n x)
(*.f64 x n)
(+.f64 (cosh.f64 (log.f64 (*.f64 n x))) (sinh.f64 (log.f64 (*.f64 n x))))
(exp.f64 (log.f64 (*.f64 n x)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 n #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (exp.f64 (neg.f64 (log.f64 x))))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)))
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 (neg.f64 n) x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 n x)))
(pow.f64 (*.f64 n x) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (*.f64 n x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (*.f64 n x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (*.f64 n x))) (sinh.f64 (neg.f64 (log.f64 (*.f64 n x))))))))
(/.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) n)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 n) x))
(/.f64 (pow.f64 n #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 n) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 n x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 n x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 n x)))
(-.f64 (cosh.f64 (log.f64 (*.f64 n x))) (sinh.f64 (log.f64 (*.f64 n x))))
(+.f64 (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))) (cosh.f64 (log.f64 (*.f64 n x))))
(+.f64 (cosh.f64 (log.f64 (*.f64 n x))) (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (*.f64 n x))))
(exp.f64 (neg.f64 (log.f64 (*.f64 n x))))
(*.f64 #s(literal -1 binary64) (log.f64 (*.f64 n x)))
(*.f64 (log.f64 (*.f64 n x)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))
(neg.f64 (log.f64 (neg.f64 (*.f64 (neg.f64 n) x))))
(neg.f64 (log.f64 (*.f64 n x)))
(fma.f64 (log.f64 n) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64)))
(fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (log.f64 x)))
(fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 (log.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (log.f64 x)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 (log.f64 n) #s(literal -1 binary64)))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (*.f64 n x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (*.f64 n x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (*.f64 n x))) (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))))))))
(-.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (neg.f64 n) x)))
(-.f64 (neg.f64 (log.f64 x)) (log.f64 n))
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(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
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(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (/.f64 (log.f64 x) n)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
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(pow.f64 (exp.f64 #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))))
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(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))
(/.f64 (pow.f64 (+.f64 (pow.f64 (cosh.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (cosh.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n))))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 x) n))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (neg.f64 (log.f64 x)) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) (neg.f64 n))))
(neg.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)))
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(+.f64 (cosh.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (sinh.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
(exp.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))))
(exp.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (/.f64 (log.f64 x) n))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 6 binary64))) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))))
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(exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))
(*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (log1p.f64 (pow.f64 x #s(literal -1 binary64))))
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(fma.f64 (pow.f64 (fabs.f64 (log1p.f64 x)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (log1p.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
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(fma.f64 (fabs.f64 (log1p.f64 x)) (fabs.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
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(*.f64 (log.f64 x) (log.f64 x))
(pow.f64 (fabs.f64 (log.f64 x)) #s(literal 2 binary64))
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(pow.f64 (log.f64 x) #s(literal 2 binary64))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (log.f64 x))))
(log.f64 (pow.f64 x (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 n x)))
(/.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 n) (log.f64 n) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 n) (log.f64 x)))))
(fma.f64 (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64)) (log.f64 n))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 n))
(+.f64 (log.f64 n) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 n))
(log.f64 (*.f64 n x))
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 n))
(/.f64 (log.f64 x) n)
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))
(neg.f64 (/.f64 (log.f64 x) (neg.f64 n)))

eval71.0ms (0.2%)

Memory
7.6MiB live, 52.7MiB allocated; 4ms collecting garbage
Compiler

Compiled 36 743 to 3 369 computations (90.8% saved)

prune52.0ms (0.2%)

Memory
0.5MiB live, 48.3MiB allocated; 1ms collecting garbage
Pruning

37 alts after pruning (33 fresh and 4 done)

PrunedKeptTotal
New49013503
Fresh112031
Picked415
Done134
Total50637543
Accuracy
100.0%
Counts
543 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.3%
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) #s(literal 4 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
29.3%
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
29.4%
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (*.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)))
51.6%
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
30.9%
(-.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)))
42.2%
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
57.9%
(-.f64 #s(approx (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 x))) (log.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))))))) n) #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 x) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))))) n) #s(literal -1 binary64) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
29.0%
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log.f64 x) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))))
29.0%
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log.f64 x) n))) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))))
29.3%
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))))
28.4%
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 #s(approx (- 1 (pow (exp 3) (/ (log x) n))) (/.f64 (fma.f64 #s(literal -9/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 #s(literal -3 binary64) (log.f64 x))) n)) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))))
60.3%
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n) #s(literal 1/3 binary64)))
30.0%
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (log.f64 x)) n)))
65.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n)) n))
65.5%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) n)))
35.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
33.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
56.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
65.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 x) (log1p.f64 x)))) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
65.8%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
46.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
34.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (fma.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64))) n)) n))
40.4%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (*.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) n)) n))
35.7%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
34.6%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
35.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
40.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 n x) #s(literal -1/2 binary64) (fma.f64 (/.f64 n (*.f64 x x)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) (*.f64 x x))))))) n) x)) n)) n))
60.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) n)) n))
65.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) n))
60.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n))
38.9%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
49.2%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.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 n n))))
25.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
26.0%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64))))
39.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
39.3%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
38.1%
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
Compiler

Compiled 6 085 to 1 772 computations (70.9% saved)

regimes78.0ms (0.3%)

Memory
-20.0MiB live, 34.2MiB allocated; 3ms collecting garbage
Counts
72 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) 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))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) n) x)) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
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(/.f64 (*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n))))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (*.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 2 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n (*.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 x) (log.f64 x)))) n)) n))
(/.f64 #s(approx (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (/.f64 (-.f64 (fma.f64 (log1p.f64 x) #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal 27/8 binary64) (*.f64 #s(literal 9/2 binary64) (+.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)))))) (fma.f64 #s(literal 3 binary64) (log.f64 x) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal 27/8 binary64) (*.f64 #s(literal 9/2 binary64) (+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))))))) n)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
(-.f64 #s(approx (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 x))) (log.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))))))) n) #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 x) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))))) n) #s(literal -1 binary64) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) n)))
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

24.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
17.0ms
n
16.0ms
(/.f64 #s(literal 1 binary64) n)
16.0ms
x
Results
AccuracySegmentsBranch
88.3%3(/.f64 #s(literal 1 binary64) n)
87.5%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)))
82.8%2x
88.3%3n
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes18.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Counts
62 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) 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))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) n) x)) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n) #s(literal 1/3 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 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) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (*.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (*.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n))
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 n x) #s(literal -1/2 binary64) (fma.f64 (/.f64 n (*.f64 x x)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) (*.f64 x x))))))) n) x)) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (fma.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64))) n)) n))
(-.f64 (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) #s(literal 4 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (fma.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) n) (log1p.f64 x)) (log.f64 x)) n))
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.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 n n))))
#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))
(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))))
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 #s(approx (- 1 (pow (exp 3) (/ (log x) n))) (/.f64 (fma.f64 #s(literal -9/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 #s(literal -3 binary64) (log.f64 x))) n)) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (*.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)))
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 n x)) (/.f64 (pow.f64 (exp.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 (log.f64 x)) n)) (fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (neg.f64 (log.f64 x)) n)) #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64)))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.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 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (*.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x))
(/.f64 #s(approx (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log.f64 x) n))) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))))
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log.f64 x) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n)) n))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) n))
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

14.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
88.3%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 3 to 4 computations (-33.3% saved)

regimes21.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Counts
39 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) 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))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) n) x)) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n) #s(literal 1/3 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 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) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (*.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #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)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (*.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n))
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 n x) #s(literal -1/2 binary64) (fma.f64 (/.f64 n (*.f64 x x)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) (*.f64 x x))))))) n) x)) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (fma.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64))) n)) n))
(-.f64 (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) #s(literal 4 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n))
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

2 calls:

9.0ms
n
9.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
88.0%3n
88.1%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes13.0ms (0%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) 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))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) n) x)) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
(-.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 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n))
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

2 calls:

6.0ms
n
6.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
88.0%3n
88.0%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 4 to 6 computations (-50% saved)

regimes23.0ms (0.1%)

Memory
-33.7MiB live, 13.9MiB allocated; 1ms collecting garbage
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) 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))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) n) x)) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n))
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n) #s(literal 1/3 binary64)))
Outputs
(-.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 (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

6.0ms
n
6.0ms
x
6.0ms
(/.f64 #s(literal 1 binary64) 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
68.9%5x
83.1%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)))
73.0%3(/.f64 #s(literal 1 binary64) n)
73.0%4n
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes4.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) 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))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) n) x)) n)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n))
Outputs
(-.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 (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) 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)))
Calls

1 calls:

3.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
81.0%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)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes2.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n))
Outputs
(-.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 (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n))
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

2.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
80.9%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes9.0ms (0%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Counts
6 → 4
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64))))
Outputs
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (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 (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
Calls

4 calls:

2.0ms
n
2.0ms
(/.f64 #s(literal 1 binary64) n)
2.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
59.7%4x
59.8%5n
63.2%7(/.f64 #s(literal 1 binary64) n)
53.1%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 18 to 16 computations (11.1% saved)

regimes2.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (log.f64 x)) n)))
Outputs
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (log.f64 x)) n)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
56.4%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)))
Outputs
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
Calls

4 calls:

1.0ms
(/.f64 #s(literal 1 binary64) n)
1.0ms
n
1.0ms
x
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
39.3%1(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
39.3%1n
39.3%1(/.f64 #s(literal 1 binary64) n)
39.3%1x
Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes4.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(/.f64 #s(literal 1 binary64) n)
1.0ms
x
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
38.1%1x
38.1%1(/.f64 #s(literal 1 binary64) n)
38.1%1n
38.1%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)))
Compiler

Compiled 18 to 16 computations (11.1% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.9608964206421e-12
2.11597435116536e-6
0.0ms
-2.6725384872383614e-25
-1.3732377244484462e-28
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.9608964206421e-12
2.11597435116536e-6
0.0ms
-2.6725384872383614e-25
-1.3732377244484462e-28
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.9608964206421e-12
2.11597435116536e-6
0.0ms
-2.6725384872383614e-25
-1.3732377244484462e-28
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.9608964206421e-12
2.11597435116536e-6
0.0ms
-0.005873500216199748
-6.020883923987967e-6
Compiler

Compiled 14 to 14 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.708811036062798e-12
0.0013074911374745257
0.0ms
-0.3766687509664912
-5.237799083346317e-10
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.708811036062798e-12
0.0013074911374745257
0.0ms
-0.3766687509664912
-5.237799083346317e-10
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.708811036062798e-12
0.0013074911374745257
0.0ms
-0.3766687509664912
-5.237799083346317e-10
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch106.0ms (0.4%)

Memory
-32.5MiB live, 15.0MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
0.38389096245948107
1.6851994385317561
41.0ms
9.017478058498784e-129
4.1687089050436707e-128
42.0ms
2.936779414967185e-193
4.180418520981771e-191
Samples
47.0ms124×1valid
32.0ms66×2valid
9.0ms114×0valid
Compiler

Compiled 1 886 to 1 081 computations (42.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-pow: 60.0ms (75.7% of total)
adjust: 9.0ms (11.3% of total)
ival-div: 5.0ms (6.3% of total)
ival-add: 3.0ms (3.8% of total)
ival-sub: 2.0ms (2.5% 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
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.38389096245948107
1.6851994385317561
Compiler

Compiled 664 to 379 computations (42.9% saved)

simplify47.0ms (0.2%)

Memory
16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01521256
12341253
23681253
37651241
423231229
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8711228593176025/43556142965880123323311949751266331066368 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) n))) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8711228593176025/43556142965880123323311949751266331066368 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) n)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8711228593176025/43556142965880123323311949751266331066368 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
Outputs
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derivations910.0ms (3.1%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157115630
1544315488
0855714541
080615
0134605
1535599
23994599
08203593
053293
093287
1359285
22604285
09307285
0831
01331
15931
237331
3387531
0818927
0132811154
1452811000
0919610380
02631453
18451330
230851283
084231173
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 256 to 159 computations (87.3% saved)

preprocess124.0ms (0.4%)

Memory
-9.1MiB live, 37.6MiB allocated; 2ms collecting garbage
Compiler

Compiled 2 538 to 334 computations (86.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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