2nthrt (problem 3.4.6)

Time bar (total: 42.5s)

analyze446.0ms (1%)

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

Compiled 16 to 9 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 326.0ms
ival-pow: 258.0ms (79.1% of total)
ival-add: 29.0ms (8.9% of total)
ival-sub: 22.0ms (6.7% of total)
ival-div: 15.0ms (4.6% of total)
const: 2.0ms (0.6% of total)
backward-pass: 1.0ms (0.3% of total)

sample31.0s (73.1%)

Results
25.7s7123×5exit
2.1s3770×1valid
1.3s1935×2valid
414.0ms2551×0valid
267.0ms1466×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 28.1s
ival-pow: 25.3s (90.1% of total)
backward-pass: 796.0ms (2.8% of total)
ival-add: 774.0ms (2.8% of total)
ival-div: 702.0ms (2.5% of total)
ival-sub: 444.0ms (1.6% of total)
const: 64.0ms (0.2% of total)
Bogosity

preprocess48.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
524×sum3-define
488×fnmadd-define
364×fmsub-define
336×fnmsub-define
332×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02576
15174
210572
319072
435972
574672
6112572
7147272
8166272
9187472
10203072
11204272
0811
11411
21811
32511
43511
56711
612511
721311
829711
940311
1048111
1148711
048711
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Call 2
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n))))
(neg (- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n))))
(neg (- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n)))))
(- (pow (+ n 1) (/ 1 x)) (pow n (/ 1 x)))
Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(- (pow (+ x 1) (recip n)) (pow x (recip n)))
(- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (- 1 x) (recip n)) (pow (neg x) (recip n)))
(- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n))))
(- (pow (+ x 1) (/ -1 n)) (pow x (/ -1 n)))
(neg (- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n))))
(- (pow (neg x) (recip n)) (pow (- 1 x) (recip n)))
(neg (- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n)))))
(- (pow x (/ -1 n)) (pow (+ x 1) (/ -1 n)))
(- (pow (+ n 1) (/ 1 x)) (pow n (/ 1 x)))
(- (pow (+ 1 n) (recip x)) (pow n (recip x)))

explain273.0ms (0.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1310-0-(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
3561(1.849891669309028e-147 -6.746658341905381e-11)0-(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
00-0-x
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) n)
00-0-n
066(1.849891669309028e-147 -6.746658341905381e-11)0-(pow.f64 x (/.f64 #s(literal 1 binary64) n))
00-0-(+.f64 x #s(literal 1 binary64))
Results
157.0ms308×1valid
54.0ms110×2valid
13.0ms94×0valid
Compiler

Compiled 89 to 26 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 180.0ms
ival-pow: 149.0ms (82.8% of total)
backward-pass: 10.0ms (5.6% of total)
ival-div: 8.0ms (4.4% of total)
ival-add: 7.0ms (3.9% of total)
ival-sub: 5.0ms (2.8% of total)
const: 1.0ms (0.6% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 8 computations (46.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶45.1%
(-.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 15 to 8 computations (46.7% saved)

simplify13.0ms (0%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) n)
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Rules
124×fnmadd-define
122×sum3-define
80×fma-lowering-fma.f32
80×fnmsub-define
80×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
11429
21829
32529
43529
56729
612529
721329
829729
940329
1048129
1148729
048729
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
x
1
(/ 1 n)
n
(pow x (/ 1 n))
Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow (+ x 1) (/ 1 n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))

localize141.0ms (0.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy86.8%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy53.1%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
74.0ms154×1valid
47.0ms55×2valid
6.0ms47×0valid
Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-pow: 72.0ms (82.1% of total)
backward-pass: 5.0ms (5.7% of total)
ival-div: 4.0ms (4.6% of total)
ival-add: 3.0ms (3.4% of total)
ival-sub: 3.0ms (3.4% of total)
const: 1.0ms (1.1% of total)

series59.0ms (0.1%)

Counts
5 → 96
Calls
Call 1
Inputs
#<alt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))>
#<alt (pow (+ x 1) (/ 1 n))>
#<alt (+ x 1)>
#<alt (/ 1 n)>
#<alt (pow x (/ 1 n))>
Outputs
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)>
#<alt (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)>
#<alt (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))>
Calls

24 calls:

TimeVariablePointExpression
25.0ms
x
@0
(pow x (/ 1 n))
19.0ms
x
@-inf
(pow x (/ 1 n))
6.0ms
x
@inf
(pow x (/ 1 n))
1.0ms
x
@inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0ms
n
@inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite226.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
2418×*-lowering-*.f32
2418×*-lowering-*.f64
1710×fma-lowering-fma.f32
1710×fma-lowering-fma.f64
1576×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0826
15924
242524
3480324
0802624
Stop Event
1×iter limit
1×node limit
Counts
5 → 279
Calls
Call 1
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
(/ 1 n)
(pow x (/ 1 n))
Outputs
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
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(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
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(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 n)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) n))
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(neg.f64 (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) n))
(/.f64 #s(literal 2 binary64) (*.f64 n #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) n))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) n) (/.f64 #s(literal 2 binary64) n)) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) n))) (*.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) n)) (*.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 n #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 n #s(literal 2 binary64))) (*.f64 n #s(literal 2 binary64))) (*.f64 (*.f64 n #s(literal 2 binary64)) (*.f64 n #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) n))) (*.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -2 binary64)))
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(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal -2 binary64) n)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) n)))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) n))) #s(literal -4 binary64))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 n #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) n) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) n) (*.f64 n #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) n) (/.f64 #s(literal 1 binary64) n))) (*.f64 (*.f64 #s(literal -2 binary64) n) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) n)) (*.f64 (*.f64 #s(literal -2 binary64) n) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) n) (*.f64 #s(literal -2 binary64) n)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) n) (/.f64 #s(literal -1 binary64) n))) (*.f64 (*.f64 #s(literal -2 binary64) n) #s(literal -2 binary64)))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 n #s(literal 2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 n #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) n))) #s(literal -4 binary64))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 #s(literal -2 binary64) n)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) n)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) n)) #s(literal -2 binary64))
(pow.f64 n #s(literal -1 binary64))
(pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 n n) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 n)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64))
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64)))
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #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 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(pow.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))
(pow.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 x))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))
(*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4 binary64))) (*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4 binary64))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4 binary64)))) (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4 binary64))))

simplify228.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
4290×*-lowering-*.f32
4290×*-lowering-*.f64
3598×+-lowering-+.f64
3598×+-lowering-+.f32
2174×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02631600
18111384
225601304
082531304
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
1
(+ 1 (/ (log x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
1
(+ 1 (/ (log x) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
Outputs
(- 1 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x n) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (*.f64 x (*.f64 x x))))))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 x n))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x))) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) x))) x)) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) x))) x)) x)) x)
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (+.f64 (log1p.f64 x) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(-.f64 (/.f64 (+.f64 (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 n n))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 n n)))) (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 n n)))) (-.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (+.f64 (log.f64 x) (/.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) n))) (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 n (*.f64 n n))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.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)))) n)) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (+.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 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1/24 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))))) n)) n)) (-.f64 #s(literal 0 binary64) n))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n)))))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (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 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 x n)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x))) x))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) x))) x)) x))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
(+.f64 (/.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log1p.f64 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) n) (log1p.f64 x)) n))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
1
#s(literal 1 binary64)
(+ 1 (/ (log x) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) n))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(+ 1 (/ (log x) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))) n)) n))

eval74.0ms (0.2%)

Compiler

Compiled 13122 to 1274 computations (90.3% saved)

prune63.0ms (0.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New41619435
Fresh000
Picked101
Done000
Total41719436
Accuracy
99.8%
Counts
436 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.9%
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))))))
55.4%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
18.6%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))))
18.6%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
18.6%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))))
18.6%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) n))))))
▶74.3%
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (-.f64 #s(literal 0 binary64) n))
60.4%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
36.5%
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
63.5%
(/.f64 (+.f64 (log1p.f64 x) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x))) n)
15.0%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
18.6%
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
24.0%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶23.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
15.5%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶53.1%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶30.3%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
18.6%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
▶18.6%
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))))))
Compiler

Compiled 1260 to 604 computations (52.1% saved)

simplify181.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
✓cost-diff64
(-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))))
✓cost-diff64
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))))
✓cost-diff192
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) 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-diff128
(+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
✓cost-diff128
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))
✓cost-diff128
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) n)
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓cost-diff0
(log.f64 x)
✓cost-diff0
(-.f64 (log.f64 x) (log1p.f64 x))
✓cost-diff0
(-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (+.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 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n))
✓cost-diff128
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (+.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 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (-.f64 #s(literal 0 binary64) n))
Rules
2384×*-lowering-*.f32
2384×*-lowering-*.f64
1950×+-lowering-+.f64
1950×+-lowering-+.f32
1490×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057527
1135494
2356494
3926492
42566492
57895492
08571492
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n))
(- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))
(- (log x) (log (+ 1 x)))
(log x)
x
(log (+ 1 x))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)
(+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n))
(* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
1/2
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log (+ 1 x)) 2)
2
(pow (log x) 2)
(/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)
(* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
1/6
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(pow (log (+ 1 x)) 3)
3
(pow (log x) 3)
n
(- 0 n)
0
(- 1 (pow x (/ 1 n)))
1
(pow x (/ 1 n))
x
(/ 1 n)
n
(- (+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))) (pow x (/ 1 n)))
(+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))))
1
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))
x
(+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))
(/ 1 n)
n
(* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(/ 1/2 (* n n))
1/2
(* n n)
(/ -1/2 n)
-1/2
(pow x (/ 1 n))
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(exp (/ (log (+ 1 x)) n))
(/ (log (+ 1 x)) n)
(log (+ 1 x))
x
n
(pow x (/ 1 n))
(/ 1 n)
1
(* (- (pow (+ x 1) (/ 3 n)) (pow x (/ 3 n))) (/ 1 (- (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))) (neg (pow (* x (+ x 1)) (/ 1 n))))))
(- (pow (+ x 1) (/ 3 n)) (pow x (/ 3 n)))
(pow (+ x 1) (/ 3 n))
(+ x 1)
x
1
(/ 3 n)
3
n
(pow x (/ 3 n))
(/ 1 (- (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))) (neg (pow (* x (+ x 1)) (/ 1 n)))))
(- (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))) (neg (pow (* x (+ x 1)) (/ 1 n))))
(+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))
(pow (+ x 1) (/ 2 n))
(/ 2 n)
2
(pow x (/ 2 n))
(neg (pow (* x (+ x 1)) (/ 1 n)))
(pow (* x (+ x 1)) (/ 1 n))
(* x (+ x 1))
(/ 1 n)
Outputs
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n))
(/.f64 (+.f64 (log1p.f64 x) (-.f64 (/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) 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))))) n) (log.f64 x))) n)
(- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) n))) n))
(- (log x) (log (+ 1 x)))
(-.f64 (log.f64 x) (log1p.f64 x))
(log x)
(log.f64 x)
x
(log (+ 1 x))
(log1p.f64 x)
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) 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))))) n)
(+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n))
(-.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) 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)))))
(* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
(*.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))))
1/2
#s(literal 1/2 binary64)
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log (+ 1 x)) 2)
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))
(* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
(*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
1/6
#s(literal 1/6 binary64)
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow (log (+ 1 x)) 3)
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
n
(- 0 n)
(-.f64 #s(literal 0 binary64) n)
0
#s(literal 0 binary64)
(- 1 (pow x (/ 1 n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
1
#s(literal 1 binary64)
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(- (+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))) (pow x (/ 1 n)))
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))))
(+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))))
1
#s(literal 1 binary64)
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))
x
(+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))
(+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(/.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
(/ 1/2 (* n n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
1/2
#s(literal 1/2 binary64)
(* n n)
(*.f64 n n)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
-1/2
#s(literal -1/2 binary64)
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/ (log (+ 1 x)) n)
(/.f64 (log1p.f64 x) n)
(log (+ 1 x))
(log1p.f64 x)
x
n
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)
(* (- (pow (+ x 1) (/ 3 n)) (pow x (/ 3 n))) (/ 1 (- (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))) (neg (pow (* x (+ x 1)) (/ 1 n))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))))
(- (pow (+ x 1) (/ 3 n)) (pow x (/ 3 n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
(pow (+ x 1) (/ 3 n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(/ 3 n)
(/.f64 #s(literal 3 binary64) n)
3
#s(literal 3 binary64)
n
(pow x (/ 3 n))
(pow.f64 x (/.f64 #s(literal 3 binary64) n))
(/ 1 (- (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))) (neg (pow (* x (+ x 1)) (/ 1 n)))))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))))
(- (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))) (neg (pow (* x (+ x 1)) (/ 1 n))))
(+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))))
(+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
(pow (+ x 1) (/ 2 n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
2
#s(literal 2 binary64)
(pow x (/ 2 n))
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
(neg (pow (* x (+ x 1)) (/ 1 n)))
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))
(pow (* x (+ x 1)) (/ 1 n))
(pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))
(* x (+ x 1))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)

localize1.0s (2.4%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n))
✓accuracy99.6%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))
✓accuracy99.5%
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))))))
✓accuracy70.8%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
✓accuracy100.0%
(exp.f64 (/.f64 (log1p.f64 x) n))
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy100.0%
(/.f64 (log1p.f64 x) n)
✓accuracy70.8%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy99.9%
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
✓accuracy99.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
✓accuracy98.8%
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
✓accuracy70.8%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy70.8%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy99.8%
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)
✓accuracy99.8%
(*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
✓accuracy99.7%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓accuracy99.6%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
Results
565.0ms78×5exit
173.0ms50×2valid
72.0ms40×1valid
63.0ms69×0unsamplable
40.0ms19×1unsamplable
Compiler

Compiled 565 to 57 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 778.0ms
ival-pow: 358.0ms (46% of total)
ival-log: 79.0ms (10.2% of total)
backward-pass: 67.0ms (8.6% of total)
ival-exp: 60.0ms (7.7% of total)
ival-div: 53.0ms (6.8% of total)
ival-sub: 46.0ms (5.9% of total)
ival-mult: 35.0ms (4.5% of total)
...c/correct-round.rkt:119:19: 26.0ms (3.3% of total)
compiled-spec: 25.0ms (3.2% of total)
ival-add: 24.0ms (3.1% of total)
ival-neg: 4.0ms (0.5% of total)
const: 2.0ms (0.3% of total)

series148.0ms (0.3%)

Counts
27 → 552
Calls
Call 1
Inputs
#<alt (/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n))>
#<alt (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))>
#<alt (- (log x) (log (+ 1 x)))>
#<alt (log x)>
#<alt (- 1 (pow x (/ 1 n)))>
#<alt (pow x (/ 1 n))>
#<alt (/ 1 n)>
#<alt (- (+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))) (pow x (/ 1 n)))>
#<alt (+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))))>
#<alt (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))>
#<alt (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (/ (log (+ 1 x)) n)>
#<alt (log (+ 1 x))>
#<alt (* (- (pow (+ x 1) (/ 3 n)) (pow x (/ 3 n))) (/ 1 (- (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))) (neg (pow (* x (+ x 1)) (/ 1 n))))))>
#<alt (/ 1 (- (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))) (neg (pow (* x (+ x 1)) (/ 1 n)))))>
#<alt (- (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))) (neg (pow (* x (+ x 1)) (/ 1 n))))>
#<alt (- (pow (+ x 1) (/ 3 n)) (pow x (/ 3 n)))>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 2)>
#<alt (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))>
#<alt (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)>
#<alt (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))>
#<alt (/ 1/2 (* n n))>
#<alt (pow (+ x 1) (/ 2 n))>
#<alt (pow (+ x 1) (/ 3 n))>
Outputs
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Calls

138 calls:

TimeVariablePointExpression
19.0ms
n
@inf
(/ (log (+ 1 x)) n)
12.0ms
n
@0
(/ (log (+ 1 x)) n)
11.0ms
n
@0
(/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)
6.0ms
x
@-inf
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n))
5.0ms
x
@-inf
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))

rewrite265.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
3076×*-lowering-*.f32
3076×*-lowering-*.f64
2012×/-lowering-/.f32
2012×/-lowering-/.f64
1448×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057331
1449311
24845311
08294311
Stop Event
1×iter limit
1×node limit
Counts
27 → 517
Calls
Call 1
Inputs
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n))
(- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))
(- (log x) (log (+ 1 x)))
(log x)
(- 1 (pow x (/ 1 n)))
(pow x (/ 1 n))
(/ 1 n)
(- (+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))) (pow x (/ 1 n)))
(+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))))
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))
(+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(exp (/ (log (+ 1 x)) n))
(/ (log (+ 1 x)) n)
(log (+ 1 x))
(* (- (pow (+ x 1) (/ 3 n)) (pow x (/ 3 n))) (/ 1 (- (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))) (neg (pow (* x (+ x 1)) (/ 1 n))))))
(/ 1 (- (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))) (neg (pow (* x (+ x 1)) (/ 1 n)))))
(- (+ (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))) (neg (pow (* x (+ x 1)) (/ 1 n))))
(- (pow (+ x 1) (/ 3 n)) (pow x (/ 3 n)))
(pow (log x) 3)
(pow (log x) 2)
(* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
(/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)
(* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(/ 1/2 (* n n))
(pow (+ x 1) (/ 2 n))
(pow (+ x 1) (/ 3 n))
Outputs
(+.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n))))
(-.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) (/.f64 (+.f64 (log1p.f64 x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
(fma.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n n) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
(fma.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
(neg.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n))
(neg.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) #s(literal 1 binary64)))
(/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))))
(/.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n)
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (*.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) n)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))) (-.f64 #s(literal 0 binary64) n)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n)))
(/.f64 (neg.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))) (*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n))))) (+.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) n)) (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))))
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(*.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 n #s(literal 1/6 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) n)))
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(*.f64 (/.f64 (*.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)) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n n))
(*.f64 (/.f64 (*.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)) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
(+.f64 (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64))) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))
(+.f64 (/.f64 x (/.f64 n #s(literal -1/2 binary64))) (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) x (/.f64 x (/.f64 n #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (/.f64 n #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64))) (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (/.f64 x (/.f64 n #s(literal -1/2 binary64))) (/.f64 x (/.f64 n #s(literal -1/2 binary64)))) (*.f64 (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64))) (/.f64 x (/.f64 n #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64))) (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64)))) (*.f64 (/.f64 x (/.f64 n #s(literal -1/2 binary64))) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))) (-.f64 (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64))) (/.f64 x (/.f64 n #s(literal -1/2 binary64)))))
(/.f64 (*.f64 x (+.f64 (*.f64 n (*.f64 n #s(literal -1/2 binary64))) (/.f64 n #s(literal 2 binary64)))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))) (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) (*.f64 n n))) (*.f64 (/.f64 #s(literal -1/2 binary64) n) (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))))
(/.f64 (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(/.f64 (*.f64 (+.f64 (*.f64 n (*.f64 n #s(literal -1/2 binary64))) (/.f64 n #s(literal 2 binary64))) x) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) (*.f64 n n)))) (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n)))) x) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) (*.f64 n n))) (*.f64 (/.f64 #s(literal -1/2 binary64) n) (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))))
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 n n) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n n) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 n n) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 n n))))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 n n)))
(/.f64 (/.f64 #s(literal -1/2 binary64) n) (-.f64 #s(literal 0 binary64) n))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 n n) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1/2 binary64) n) n)
(pow.f64 (/.f64 (*.f64 n n) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 n n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 n (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 n n))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1 binary64) n))
(exp.f64 (/.f64 (log1p.f64 x) (/.f64 n #s(literal 2 binary64))))
(exp.f64 (*.f64 (log1p.f64 x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n)))))
(exp.f64 (*.f64 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n))))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n)))
(pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 #s(literal 2 binary64) n))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n))))
(exp.f64 (/.f64 (log1p.f64 x) (/.f64 n #s(literal 3 binary64))))
(exp.f64 (*.f64 (log1p.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 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))
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(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n))
(pow.f64 (+.f64 x #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))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 #s(literal 3 binary64) n))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))

simplify425.0ms (1%)

Algorithm
1×egg-herbie
Rules
4440×*-lowering-*.f32
4440×*-lowering-*.f64
4248×+-lowering-+.f64
4248×+-lowering-+.f32
2400×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0205821810
1724320860
0810720860
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
Calls
Call 1
Inputs
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))
(/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (/ 1 n)))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/4 (/ 1 n)) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n)))) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))))) x)
(/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) (* n x))
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(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))
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(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
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1
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1
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1
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(exp (* 3 (/ (log (+ 1 x)) n)))
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1
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1
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Outputs
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
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(+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n))) n) (neg.f64 (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) x)))) x)))
(+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))))) x)) (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n)))) x))) x)))
(+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n))) n) (neg.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n)) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n))) (neg.f64 (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 2/3 binary64) n) (/.f64 #s(literal 4/3 binary64) (*.f64 n (*.f64 n n))))) x)))) x))) x)))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) n))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) n))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) n))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (log (+ 1 x)) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) n))
(+ 1 (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)))))
(+ 1 (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 4/3 binary64)) (*.f64 n (*.f64 n n)))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (log (+ 1 x)) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) n))
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) n)))
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -1 (/ (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) n)) (* 2 (pow (log (+ 1 x)) 2))) n))) n)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (log1p.f64 x)) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 4/3 binary64)) n)) n))) n)))
1
#s(literal 1 binary64)
(+ 1 (* 3 (/ x n)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 x n)))
(+ 1 (* x (+ (* x (- (* 9/2 (/ 1 (pow n 2))) (* 3/2 (/ 1 n)))) (* 3 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 n n)) (/.f64 #s(literal 3/2 binary64) n))) (/.f64 #s(literal 3 binary64) n))))
(+ 1 (* x (+ (* x (- (+ (* 9/2 (/ 1 (pow n 2))) (* x (- (+ (* 9/2 (/ 1 (pow n 3))) (/ 1 n)) (* 9/2 (/ 1 (pow n 2)))))) (* 3/2 (/ 1 n)))) (* 3 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 3 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 n n)) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 9/2 binary64) (*.f64 n n))))) (/.f64 #s(literal 3/2 binary64) n)))))))
(exp (* -3 (/ (log (/ 1 x)) n)))
(exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64)))
(+ (exp (* -3 (/ (log (/ 1 x)) n))) (* 3 (/ (exp (* -3 (/ (log (/ 1 x)) n))) (* n x))))
(+.f64 (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64)))) (*.f64 x n)))
(+ (exp (* -3 (/ (log (/ 1 x)) n))) (+ (* 3 (/ (exp (* -3 (/ (log (/ 1 x)) n))) (* n x))) (/ (* (exp (* -3 (/ (log (/ 1 x)) n))) (- (* 9/2 (/ 1 (pow n 2))) (* 3/2 (/ 1 n)))) (pow x 2))))
(+.f64 (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64)))) (*.f64 x n)) (/.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64))) (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 n n)) (/.f64 #s(literal 3/2 binary64) n))) (*.f64 x x))))
(+ (exp (* -3 (/ (log (/ 1 x)) n))) (+ (* 3 (/ (exp (* -3 (/ (log (/ 1 x)) n))) (* n x))) (+ (/ (* (exp (* -3 (/ (log (/ 1 x)) n))) (- (* 9/2 (/ 1 (pow n 2))) (* 3/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -3 (/ (log (/ 1 x)) n))) (- (+ (* 9/2 (/ 1 (pow n 3))) (/ 1 n)) (* 9/2 (/ 1 (pow n 2))))) (pow x 3)))))
(+.f64 (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64)))) (*.f64 x n)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64))) (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 n n)) (/.f64 #s(literal 3/2 binary64) n))) (*.f64 x x)) (*.f64 (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 9/2 binary64) (*.f64 n n)))) (*.f64 x (*.f64 x x)))))))
(exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp.f64 (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n))
(+ (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* 3 (/ (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x))))
(+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) (/.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n))) (*.f64 x n)))
(+ (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -3 (/ (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (* (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 9/2 (/ 1 (pow n 2))) (* 3/2 (/ 1 n)))) x))) x)))
(+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n))) n) (neg.f64 (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) (/.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 n n)) (/.f64 #s(literal 3/2 binary64) n)) x)))) x)))
(+ (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -3 (/ (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (+ (* -1 (/ (* (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 9/2 (/ 1 (pow n 2))) (+ (* 9/2 (/ 1 (pow n 3))) (/ 1 n)))) x)) (* (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 9/2 (/ 1 (pow n 2))) (* 3/2 (/ 1 n))))) x))) x)))
(+.f64 (exp.f64 (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n))) n) (neg.f64 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 n n)) (/.f64 #s(literal 3/2 binary64) n)) (exp.f64 (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n))) (neg.f64 (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) n)) (/.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 9/2 binary64) (*.f64 n (*.f64 n n))))) x)))) x))) x)))
(exp (* 3 (/ (log (+ 1 x)) n)))
(exp.f64 (/.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 x)) n))
(exp (* 3 (/ (log (+ 1 x)) n)))
(exp.f64 (/.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 x)) n))
(exp (* 3 (/ (log (+ 1 x)) n)))
(exp.f64 (/.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 x)) n))
(exp (* 3 (/ (log (+ 1 x)) n)))
(exp.f64 (/.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 x)) n))
1
#s(literal 1 binary64)
(+ 1 (* 3 (/ (log (+ 1 x)) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 x)) n))
(+ 1 (+ (* 3 (/ (log (+ 1 x)) n)) (* 9/2 (/ (pow (log (+ 1 x)) 2) (pow n 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 x)) n)) (/.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 9/2 binary64)) (*.f64 n n)))
(+ 1 (+ (* 3 (/ (log (+ 1 x)) n)) (+ (* 9/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (* 9/2 (/ (pow (log (+ 1 x)) 3) (pow n 3))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 x)) n) (*.f64 #s(literal 9/2 binary64) (+.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n (*.f64 n n)))))))
1
#s(literal 1 binary64)
(+ 1 (* 3 (/ (log (+ 1 x)) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 x)) n))
(+ 1 (* -1 (/ (+ (* -9/2 (/ (pow (log (+ 1 x)) 2) n)) (* -3 (log (+ 1 x)))) n)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (log1p.f64 x) #s(literal -3 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -9/2 binary64))) n)))
(+ 1 (* -1 (/ (+ (* -3 (log (+ 1 x))) (* -1 (/ (+ (* 9/2 (/ (pow (log (+ 1 x)) 3) n)) (* 9/2 (pow (log (+ 1 x)) 2))) n))) n)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (*.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)))

eval178.0ms (0.4%)

Compiler

Compiled 65987 to 5510 computations (91.6% saved)

prune151.0ms (0.4%)

Pruning

40 alts after pruning (39 fresh and 1 done)

PrunedKeptTotal
New1362321394
Fresh7714
Picked415
Done000
Total1373401413
Accuracy
100.0%
Counts
1413 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.9%
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))))))
47.4%
(fma.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
55.4%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
18.6%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))))
18.6%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) n))))))
38.8%
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
38.5%
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
60.7%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (-.f64 #s(literal 0 binary64) n))
▶48.8%
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (log.f64 x)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) n)) n)
▶34.7%
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
60.4%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
▶19.0%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
36.5%
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
6.7%
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
29.5%
(/.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64)))) (*.f64 (*.f64 x n) (*.f64 #s(literal 3 binary64) (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -2 binary64))))))
10.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
60.3%
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))) n)
46.2%
(/.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 n n))) x)) (-.f64 #s(literal 0 binary64) n))
55.4%
(/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n))
19.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
60.7%
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
15.0%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
19.0%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
12.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 (+.f64 (*.f64 n (*.f64 n #s(literal -1/2 binary64))) (/.f64 n #s(literal 2 binary64))) x) (*.f64 n (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
15.0%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
13.0%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))
11.9%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
23.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓30.3%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶28.2%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
34.6%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
25.1%
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64)))) n) (/.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64))) (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 n n)) (/.f64 #s(literal 3/2 binary64) n))) x)) x) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))))))
▶60.7%
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
19.0%
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
18.6%
(*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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)))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))))))
7.6%
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
13.2%
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x x))))
7.8%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n))))
60.3%
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
35.4%
(neg.f64 (/.f64 (log.f64 x) n))
Compiler

Compiled 2489 to 1352 computations (45.7% saved)

simplify161.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n))
✓cost-diff0
(-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (log.f64 x))
✓cost-diff12928
(-.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (log.f64 x)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) n))
✓cost-diff12928
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (log.f64 x)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) n)) n)
✓cost-diff0
(/.f64 #s(literal 2 binary64) n)
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
✓cost-diff0
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))
✓cost-diff0
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
✓cost-diff128
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓cost-diff0
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓cost-diff0
(-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))
✓cost-diff0
(/.f64 #s(literal -1 binary64) n)
✓cost-diff128
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
Rules
2720×*-lowering-*.f32
2720×*-lowering-*.f64
1538×fma-lowering-fma.f32
1538×fma-lowering-fma.f64
1390×--lowering--.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
055438
1127417
2305414
3813411
42431407
57719407
08406407
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)))
(/ -1 n)
-1
n
(- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))
(log (/ x (+ x 1)))
(/ x (+ x 1))
x
(+ x 1)
1
(/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)
(+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n)))
(* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x))))
1/2
(* (log (* x (+ x 1))) (log (/ (+ x 1) x)))
(log (* x (+ x 1)))
(* x (+ x 1))
(log (/ (+ x 1) x))
(/ (+ x 1) x)
(* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(pow (log (+ 1 x)) 3)
(log (+ 1 x))
3
(pow (log x) 3)
(log x)
(/ 1/6 n)
1/6
(- 1 1)
1
(/ (- (* x (+ 1 (* x -1/2))) (log x)) n)
(- (* x (+ 1 (* x -1/2))) (log x))
(* x (+ 1 (* x -1/2)))
x
(+ 1 (* x -1/2))
1
(* x -1/2)
-1/2
(log x)
n
(/ (- 1 (pow x (/ 2 n))) (+ 1 (pow x (/ 1 n))))
(- 1 (pow x (/ 2 n)))
1
(pow x (/ 2 n))
x
(/ 2 n)
2
n
(+ 1 (pow x (/ 1 n)))
(pow x (/ 1 n))
(/ 1 n)
(/ (- (- (/ (* -1/6 (pow (log x) 3)) (* n n)) (log x)) (/ (* (pow (log x) 2) 1/2) n)) n)
(- (- (/ (* -1/6 (pow (log x) 3)) (* n n)) (log x)) (/ (* (pow (log x) 2) 1/2) n))
(- (/ (* -1/6 (pow (log x) 3)) (* n n)) (log x))
(/ (* -1/6 (pow (log x) 3)) (* n n))
(* -1/6 (pow (log x) 3))
-1/6
(pow (log x) 3)
(log x)
x
3
(* n n)
n
(/ (* (pow (log x) 2) 1/2) n)
(* (pow (log x) 2) 1/2)
(pow (log x) 2)
2
1/2
Outputs
(* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)))
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(/ -1 n)
(/.f64 #s(literal -1 binary64) n)
-1
#s(literal -1 binary64)
n
(- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))
(-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))
(log (/ x (+ x 1)))
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/ x (+ x 1))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)
(+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n)))
(* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
1/2
#s(literal 1/2 binary64)
(* (log (* x (+ x 1))) (log (/ (+ x 1) x)))
(*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(log (* x (+ x 1)))
(log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))
(* x (+ x 1))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(log (/ (+ x 1) x))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/ (+ x 1) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow (log (+ 1 x)) 3)
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
(log (+ 1 x))
(log1p.f64 x)
3
#s(literal 3 binary64)
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(log x)
(log.f64 x)
(/ 1/6 n)
(/.f64 #s(literal 1/6 binary64) n)
1/6
#s(literal 1/6 binary64)
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(/ (- (* x (+ 1 (* x -1/2))) (log x)) n)
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
(- (* x (+ 1 (* x -1/2))) (log x))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))
(* x (+ 1 (* x -1/2)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
x
(+ 1 (* x -1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(log x)
(log.f64 x)
n
(/ (- 1 (pow x (/ 2 n))) (+ 1 (pow x (/ 1 n))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(- 1 (pow x (/ 2 n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
1
#s(literal 1 binary64)
(pow x (/ 2 n))
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
x
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
2
#s(literal 2 binary64)
n
(+ 1 (pow x (/ 1 n)))
(+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (- (- (/ (* -1/6 (pow (log x) 3)) (* n n)) (log x)) (/ (* (pow (log x) 2) 1/2) n)) n)
(/.f64 (*.f64 (log.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -1/6 binary64)) n)) n)))) n)
(- (- (/ (* -1/6 (pow (log x) 3)) (* n n)) (log x)) (/ (* (pow (log x) 2) 1/2) n))
(*.f64 (log.f64 x) (+.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -1/6 binary64)) n)) n))))
(- (/ (* -1/6 (pow (log x) 3)) (* n n)) (log x))
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 n n)) (log.f64 x))
(/ (* -1/6 (pow (log x) 3)) (* n n))
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 n n))
(* -1/6 (pow (log x) 3))
(*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(log x)
(log.f64 x)
x
3
#s(literal 3 binary64)
(* n n)
(*.f64 n n)
n
(/ (* (pow (log x) 2) 1/2) n)
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))
(* (pow (log x) 2) 1/2)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)

localize1.2s (2.8%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓accuracy99.7%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
✓accuracy99.7%
(-.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (log.f64 x)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) n))
✓accuracy99.6%
(/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n))
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy87.2%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(log.f64 x)
✓accuracy100.0%
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))
✓accuracy99.9%
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓accuracy99.9%
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)
✓accuracy99.9%
(/.f64 #s(literal 1/6 binary64) n)
✓accuracy99.8%
(*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
✓accuracy99.7%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
Results
995.0ms173×5exit
73.0ms55×1valid
17.0ms28×0unsamplable
Compiler

Compiled 458 to 54 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 903.0ms
ival-log: 391.0ms (43.3% of total)
ival-pow: 156.0ms (17.3% of total)
backward-pass: 95.0ms (10.5% of total)
ival-div: 81.0ms (9% of total)
ival-mult: 63.0ms (7% of total)
...c/correct-round.rkt:119:19: 33.0ms (3.7% of total)
ival-sub: 32.0ms (3.5% of total)
ival-add: 28.0ms (3.1% of total)
compiled-spec: 20.0ms (2.2% of total)
const: 4.0ms (0.4% of total)

series62.0ms (0.1%)

Counts
25 → 432
Calls
Call 1
Inputs
#<alt (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)))>
#<alt (/ -1 n)>
#<alt (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))>
#<alt (log (/ x (+ x 1)))>
#<alt (- 1 1)>
#<alt (/ (- (* x (+ 1 (* x -1/2))) (log x)) n)>
#<alt (- (* x (+ 1 (* x -1/2))) (log x))>
#<alt (* x (+ 1 (* x -1/2)))>
#<alt (+ 1 (* x -1/2))>
#<alt (/ (- 1 (pow x (/ 2 n))) (+ 1 (pow x (/ 1 n))))>
#<alt (- 1 (pow x (/ 2 n)))>
#<alt (pow x (/ 2 n))>
#<alt (/ 2 n)>
#<alt (/ (- (- (/ (* -1/6 (pow (log x) 3)) (* n n)) (log x)) (/ (* (pow (log x) 2) 1/2) n)) n)>
#<alt (- (- (/ (* -1/6 (pow (log x) 3)) (* n n)) (log x)) (/ (* (pow (log x) 2) 1/2) n))>
#<alt (- (/ (* -1/6 (pow (log x) 3)) (* n n)) (log x))>
#<alt (/ (* -1/6 (pow (log x) 3)) (* n n))>
#<alt (pow (log x) 3)>
#<alt (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))>
#<alt (/ 1/6 n)>
#<alt (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)>
#<alt (log x)>
#<alt (* x -1/2)>
#<alt (+ 1 (pow x (/ 1 n)))>
#<alt (pow (log x) 2)>
Outputs
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3)))>
#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))))) (pow n 3))>
#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))))) (pow n 3))>
#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))))) (pow n 3))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) n)>
#<alt (/ (+ (* -1 (log (/ x (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)))) n)>
#<alt (/ (+ (* -1 (log (/ x (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)))) n)>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) n))>
#<alt (* -1 (/ (+ (log (/ x (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) n))) n))>
#<alt (* -1 (/ (+ (log (/ x (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) n))) n))>
#<alt (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))>
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n))) n))))) (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (/ 1 n)))))>
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (+ (* x (+ (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n))) n)))) (* x (+ (* 1/3 (/ 1 n)) (+ (* 1/2 (/ (- (+ (* -1/3 (/ (log x) n)) (* 1/3 (/ (log x) n))) (/ 1 n)) n)) (* 1/6 (/ 1 (pow n 3)))))))) (/ 1 n)))))>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (/ 1 n)))) x)>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))))) x)>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/4 (/ 1 n)) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n)))) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))))) x)>
#<alt (/ (- 1 (+ (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))) (/ (log (/ -1 x)) n))) (* n x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- 1 (+ (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))) (/ (log (/ -1 x)) n))) n)) (/ 1/2 (* n x))) (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))) (* n x))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) (* n x))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- 1 (+ (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))) (/ (log (/ -1 x)) n))) n)) (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) n))))) (/ 1/3 (* n x))) (+ (* 1/6 (/ (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (/ (log -1) (pow n 2)) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))))) (* n x))) (* 1/2 (/ (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n)) (* n x))))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) n))))) (* -1 (/ (- (+ (* -1 (- (* 1/3 (/ 1 n)) (+ (* 1/6 (/ (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (/ (log -1) (pow n 2)) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))))) n)) (* 1/2 (/ (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n)) n))))) (/ 1/4 (* n x))) (+ (* 1/6 (/ (+ (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))))) (* n x))) (* 1/2 (/ (+ (* 1/2 (/ (log (/ -1 x)) n)) (* 11/12 (/ 1 n))) (* n x))))) x))) x)) (* -1 (/ (- 1 (+ (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))) (/ (log (/ -1 x)) n))) n))) x))>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))>
#<alt (- (+ (log x) (* -1 (* x (+ 1 (* 1/2 (+ (* -1 (/ (log x) n)) (/ (log x) n))))))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))>
#<alt (- (+ (log x) (* x (- (* x (- 1/2 (* 1/2 (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n)))))) (+ 1 (* 1/2 (+ (* -1 (/ (log x) n)) (/ (log x) n))))))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))>
#<alt (- (+ (log x) (* x (- (* x (- (+ 1/2 (* -1 (* x (+ 1/3 (+ (* 1/6 (/ 1 (pow n 2))) (* 1/2 (- (+ (* -1/3 (/ (log x) n)) (* 1/3 (/ (log x) n))) (/ 1 n)))))))) (* 1/2 (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n)))))) (+ 1 (* 1/2 (+ (* -1 (/ (log x) n)) (/ (log x) n))))))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))>
#<alt (* -1 (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) x))>
#<alt (/ (- (* 1/2 (/ 1 x)) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))))))) x)>
#<alt (/ (- (+ (* -1 (/ (+ 1/3 (+ (* 1/6 (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2)))))) (* 1/2 (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))))) (pow x 2))) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))))))) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (pow x 2))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) (pow x 3))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))))))))) x)>
#<alt (* -1 (/ (- 1 (+ (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))) (/ (log (/ -1 x)) n))) x))>
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#<alt (- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)))))>
#<alt (- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)))))>
#<alt (- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)))))>
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#<alt (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (log x))>
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#<alt (- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (/ (+ (* -1 (* (pow n 2) (log x))) (* -1/6 (pow (log x) 3))) (pow n 2))>
#<alt (/ (+ (* -1 (* (pow n 2) (log x))) (* -1/6 (pow (log x) 3))) (pow n 2))>
#<alt (/ (+ (* -1 (* (pow n 2) (log x))) (* -1/6 (pow (log x) 3))) (pow n 2))>
#<alt (* -1 (log x))>
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#<alt (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (log x))>
#<alt (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (log x))>
#<alt (* -1 (log x))>
#<alt (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (log x))>
#<alt (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (log x))>
#<alt (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (log x))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))>
#<alt (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))>
#<alt (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))>
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#<alt (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 2)))>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
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#<alt (+ (* -1 (pow (log x) 2)) (* x (+ (log x) (+ (* -1 (log x)) (* x (+ 1 (+ (* -1/2 (log x)) (* 1/2 (log x)))))))))>
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#<alt (* -2 (/ (log (/ 1 x)) x))>
#<alt (/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x)>
#<alt (/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)>
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#<alt (* -2 (/ (log (/ -1 x)) x))>
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#<alt (/ 1/6 n)>
#<alt (/ 1/6 n)>
#<alt (/ 1/6 n)>
#<alt (/ 1/6 n)>
#<alt (/ 1/6 n)>
#<alt (/ 1/6 n)>
#<alt (/ 1/6 n)>
#<alt (/ 1/6 n)>
#<alt (/ 1/6 n)>
#<alt (/ 1/6 n)>
#<alt (/ 1/6 n)>
#<alt (/ 1/6 n)>
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#<alt (/ (+ (* -1 (log (/ 1 x))) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n))) (* n x))>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) (* n x))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/2 (/ (+ 1 (log (/ 1 x))) (* n x)))))) x)>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) (* n x))) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) n)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) n)) (+ (* 2 (/ (log (/ 1 x)) n)) (/ 1 n)))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ (* 1/2 (/ (+ 1 (log (/ 1 x))) (* n x))) (* 1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (* n (pow x 2))))))))) x)>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) (* n x))) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) n)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) n)) (+ (* 2 (/ (log (/ 1 x)) n)) (/ 1 n)))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) n)) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) n)) (* -1/4 (/ (pow (log (/ 1 x)) 2) n))))) (/ 1 n)) (* n (pow x 3)))) (+ (* 1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 x)))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ 1 (log (/ 1 x))) (* n x))) (* 1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (* n (pow x 2))))))))))) x)>
#<alt (* -1 (/ (+ (log (/ -1 x)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n))) (* n x)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))) n)) (* 1/2 (/ (+ 1 (log (/ -1 x))) n))) x)) (+ (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))) (/ (log (/ -1 x)) n))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) n)) (* 1/2 (/ (+ 1 (* 2/3 (log (/ -1 x)))) n))) x)) (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))) n)) (* 1/2 (/ (+ 1 (log (/ -1 x))) n)))) x)) (+ (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))) (/ (log (/ -1 x)) n))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (+ (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) n)) (* 1/2 (/ (+ 11/12 (* 1/2 (log (/ -1 x)))) n))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) n)) (* 1/2 (/ (+ 1 (* 2/3 (log (/ -1 x)))) n)))) x)) (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))) n)) (* 1/2 (/ (+ 1 (log (/ -1 x))) n)))) x)) (+ (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))) (/ (log (/ -1 x)) n))) x))>
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2)))>
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#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))))) (pow n 2))>
#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))))) (pow n 2))>
#<alt (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))>
#<alt (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) n)>
#<alt (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) n)>
#<alt (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) n)>
#<alt (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))>
#<alt (* -1 (/ (+ (* -1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n))>
#<alt (* -1 (/ (+ (* -1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n))>
#<alt (* -1 (/ (+ (* -1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
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#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
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#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (* -1/2 x)>
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#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt 2>
#<alt (+ 2 (/ (log x) n))>
#<alt (+ 2 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 2 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))>
#<alt 2>
#<alt (+ 2 (/ (log x) n))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
Calls

108 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
(* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)))
7.0ms
n
@inf
(* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)))
4.0ms
n
@inf
(/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)
3.0ms
n
@0
(/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)
2.0ms
n
@0
(* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)))

rewrite269.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
3636×*-lowering-*.f32
3636×*-lowering-*.f64
2316×fma-lowering-fma.f32
2316×fma-lowering-fma.f64
1972×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055268
1347249
23461246
08242246
Stop Event
1×iter limit
1×node limit
Counts
25 → 586
Calls
Call 1
Inputs
(* (/ -1 n) (- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)))
(/ -1 n)
(- (log (/ x (+ x 1))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))
(log (/ x (+ x 1)))
(- 1 1)
(/ (- (* x (+ 1 (* x -1/2))) (log x)) n)
(- (* x (+ 1 (* x -1/2))) (log x))
(* x (+ 1 (* x -1/2)))
(+ 1 (* x -1/2))
(/ (- 1 (pow x (/ 2 n))) (+ 1 (pow x (/ 1 n))))
(- 1 (pow x (/ 2 n)))
(pow x (/ 2 n))
(/ 2 n)
(/ (- (- (/ (* -1/6 (pow (log x) 3)) (* n n)) (log x)) (/ (* (pow (log x) 2) 1/2) n)) n)
(- (- (/ (* -1/6 (pow (log x) 3)) (* n n)) (log x)) (/ (* (pow (log x) 2) 1/2) n))
(- (/ (* -1/6 (pow (log x) 3)) (* n n)) (log x))
(/ (* -1/6 (pow (log x) 3)) (* n n))
(pow (log x) 3)
(* (log (* x (+ x 1))) (log (/ (+ x 1) x)))
(/ 1/6 n)
(/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)
(log x)
(* x -1/2)
(+ 1 (pow x (/ 1 n)))
(pow (log x) 2)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) n))))
(+.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) n)) (/.f64 #s(literal -1 binary64) n)))
(fma.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) n))))
(fma.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) n)) (/.f64 #s(literal -1 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n)))))
(/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n)) (/.f64 n #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n))) n)
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) #s(literal 3 binary64)))) (*.f64 n (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) #s(literal 2 binary64)))) (*.f64 n (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) #s(literal 3 binary64)))) (*.f64 (/.f64 n #s(literal -1 binary64)) (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) #s(literal 2 binary64)))) (*.f64 (/.f64 n #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n)))) n))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n)))) (-.f64 #s(literal 0 binary64) n)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n)))) (/.f64 n #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n)) n))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n)) (-.f64 #s(literal 0 binary64) n)))
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(/.f64 (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) (-.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log.f64 x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))
(*.f64 (log.f64 x) (log.f64 x))
(*.f64 (exp.f64 (log.f64 (log.f64 x))) (exp.f64 (log.f64 (log.f64 x))))
(*.f64 (pow.f64 (exp.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))

simplify293.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
4274×*-lowering-*.f32
4274×*-lowering-*.f64
3994×+-lowering-+.f64
3994×+-lowering-+.f32
1674×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010369345
135618211
084988211
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3)))
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))))) (pow n 3))
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))))) (pow n 3))
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))))) (pow n 3))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) n)
(/ (+ (* -1 (log (/ x (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)))) n)
(/ (+ (* -1 (log (/ x (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)))) n)
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) n))
(* -1 (/ (+ (log (/ x (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) n))) n))
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(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))
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(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (+ (* x (+ (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n))) n)))) (* x (+ (* 1/3 (/ 1 n)) (+ (* 1/2 (/ (- (+ (* -1/3 (/ (log x) n)) (* 1/3 (/ (log x) n))) (/ 1 n)) n)) (* 1/6 (/ 1 (pow n 3)))))))) (/ 1 n)))))
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(/ -1 n)
(/ -1 n)
(/ -1 n)
(/ -1 n)
(/ -1 n)
(/ -1 n)
(/ -1 n)
(/ -1 n)
(/ -1 n)
(/ -1 n)
(/ -1 n)
(/ -1 n)
(- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
(- (+ (log x) (* -1 (* x (+ 1 (* 1/2 (+ (* -1 (/ (log x) n)) (/ (log x) n))))))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))
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(* -1 (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) x))
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(/ 1/6 n)
(/ 1/6 n)
(/ 1/6 n)
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(/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n)
(+ (* -1/2 (/ (pow (log x) 2) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (* x (+ (log x) (* -1 (log x)))) n))))
(+ (* -1/2 (/ (pow (log x) 2) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (* x (+ (* 1/2 (/ (* x (+ 1 (+ (* -1/2 (log x)) (* 1/2 (log x))))) n)) (* 1/2 (/ (+ (log x) (* -1 (log x))) n))))))
(+ (* -1/2 (/ (pow (log x) 2) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (* x (+ (* 1/2 (/ (+ (log x) (* -1 (log x))) n)) (* x (+ (* 1/2 (/ (+ 1 (+ (* -1/2 (log x)) (* 1/2 (log x)))) n)) (* x (+ (* 1/2 (/ (- (+ (* -1/3 (log x)) (* 1/3 (log x))) 1) n)) (* 1/6 (/ 1 (pow n 2)))))))))))
(/ (+ (* -1 (log (/ 1 x))) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n))) (* n x))
(/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) (* n x))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/2 (/ (+ 1 (log (/ 1 x))) (* n x)))))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) (* n x))) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) n)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) n)) (+ (* 2 (/ (log (/ 1 x)) n)) (/ 1 n)))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ (* 1/2 (/ (+ 1 (log (/ 1 x))) (* n x))) (* 1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (* n (pow x 2))))))))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) (* n x))) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) n)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) n)) (+ (* 2 (/ (log (/ 1 x)) n)) (/ 1 n)))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) n)) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) n)) (* -1/4 (/ (pow (log (/ 1 x)) 2) n))))) (/ 1 n)) (* n (pow x 3)))) (+ (* 1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 x)))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ 1 (log (/ 1 x))) (* n x))) (* 1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (* n (pow x 2))))))))))) x)
(* -1 (/ (+ (log (/ -1 x)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n))) (* n x)))
(* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))) n)) (* 1/2 (/ (+ 1 (log (/ -1 x))) n))) x)) (+ (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))) (/ (log (/ -1 x)) n))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) n)) (* 1/2 (/ (+ 1 (* 2/3 (log (/ -1 x)))) n))) x)) (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))) n)) (* 1/2 (/ (+ 1 (log (/ -1 x))) n)))) x)) (+ (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))) (/ (log (/ -1 x)) n))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (+ (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) n)) (* 1/2 (/ (+ 11/12 (* 1/2 (log (/ -1 x)))) n))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) n)) (* 1/2 (/ (+ 1 (* 2/3 (log (/ -1 x)))) n)))) x)) (+ (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))) n)) (* 1/2 (/ (+ 1 (log (/ -1 x))) n)))) x)) (+ (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))) (/ (log (/ -1 x)) n))) x))
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2)))
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))))) (pow n 2))
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))))) (pow n 2))
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))))) (pow n 2))
(* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))
(/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) n)
(/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) n)
(/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) n)
(* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))
(* -1 (/ (+ (* -1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n))
(* -1 (/ (+ (* -1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n))
(* -1 (/ (+ (* -1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(+ 1 (exp (/ (log x) n)))
(+ 1 (exp (/ (log x) n)))
(+ 1 (exp (/ (log x) n)))
(+ 1 (exp (/ (log x) n)))
(+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(+ 1 (exp (/ (log x) n)))
(+ 1 (exp (/ (log x) n)))
(+ 1 (exp (/ (log x) n)))
(+ 1 (exp (/ (log x) n)))
2
(+ 2 (/ (log x) n))
(+ 2 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+ 2 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
2
(+ 2 (/ (log x) n))
(+ 2 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 2 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
Outputs
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) n))
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(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))))) (pow n 3))
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(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))))) (pow n 3))
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))) (*.f64 n (*.f64 n n)))
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(/ (+ (* -1 (log (/ x (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)))) n)
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(/ (+ (* -1 (log (/ x (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)))) n)
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n n))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
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(* -1 (/ (+ (log (/ x (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) n))) n))
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(* -1 (/ (+ (log (/ x (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) n))) n))
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eval126.0ms (0.3%)

Compiler

Compiled 39638 to 3439 computations (91.3% saved)

prune127.0ms (0.3%)

Pruning

45 alts after pruning (43 fresh and 2 done)

PrunedKeptTotal
New1114211135
Fresh122234
Picked415
Done011
Total1130451175
Accuracy
100.0%
Counts
1175 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.9%
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))))))
42.0%
(fma.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 n n)) (log.f64 x)) (/.f64 #s(literal 1 binary64) n) (neg.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n))))
19.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
55.4%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
38.5%
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
34.4%
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
28.4%
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) n) (*.f64 n (log.f64 x))) (*.f64 n n))
49.2%
(/.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n)) n)) (neg.f64 n))
35.3%
(/.f64 (-.f64 x (log.f64 x)) n)
26.9%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n)))
✓19.0%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
36.5%
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
6.7%
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
3.6%
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
29.5%
(/.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64)))) (*.f64 (*.f64 x n) (*.f64 #s(literal 3 binary64) (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -2 binary64))))))
10.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
60.3%
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))) n)
▶60.5%
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
35.4%
(/.f64 (log.f64 x) (neg.f64 n))
55.4%
(/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n))
19.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
34.7%
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))))
▶15.0%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
35.3%
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
12.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 (+.f64 (*.f64 n (*.f64 n #s(literal -1/2 binary64))) (/.f64 n #s(literal 2 binary64))) x) (*.f64 n (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
15.0%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
13.0%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))
11.9%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
23.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓30.3%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
34.4%
(*.f64 (pow.f64 (/.f64 n (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
34.6%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
25.1%
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64)))) n) (/.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64))) (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 n n)) (/.f64 #s(literal 3/2 binary64) n))) x)) x) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))))))
19.0%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) #s(literal -1 binary64)))
19.0%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
▶46.2%
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n))) (-.f64 #s(literal 0 binary64) x)))
24.9%
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
60.5%
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
18.6%
(*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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)))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))))))
7.6%
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
13.2%
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x x))))
6.9%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
20.1%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 n (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n))))
▶60.3%
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
▶28.2%
#s(literal 0 binary64)
Compiler

Compiled 2286 to 1283 computations (43.9% saved)

simplify137.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n))
✓cost-diff6592
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n)))
✓cost-diff6720
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n))) (-.f64 #s(literal 0 binary64) x))
✓cost-diff6848
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n))) (-.f64 #s(literal 0 binary64) x)))
✓cost-diff0
(-.f64 (log1p.f64 x) (log.f64 x))
✓cost-diff0
(*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))
✓cost-diff0
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n)
✓cost-diff256
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
✓cost-diff0
(/.f64 #s(literal 1 binary64) n)
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
✓cost-diff-64
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
✓cost-diff0
(+.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 x (+.f64 #s(literal 1 binary64) x))
✓cost-diff0
(log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))
Rules
3376×*-lowering-*.f32
3376×*-lowering-*.f64
1654×fma-define
1504×fma-lowering-fma.f32
1504×fma-lowering-fma.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036198
181188
2190184
3572180
42087179
55636179
08405179
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (log (/ x (+ 1 x))) (neg n))
(log (/ x (+ 1 x)))
(/ x (+ 1 x))
x
(+ 1 x)
1
(neg n)
n
0
(- (pow (+ x 1) (/ 1 n)) 1)
(pow (+ x 1) (/ 1 n))
(+ x 1)
x
1
(/ 1 n)
n
(* 1/3 (/ (* 3 (- (log (+ 1 x)) (log x))) n))
1/3
(/ (* 3 (- (log (+ 1 x)) (log x))) n)
(* 3 (- (log (+ 1 x)) (log x)))
3
(- (log (+ 1 x)) (log x))
(log (+ 1 x))
x
(log x)
n
(* (/ -1 n) (/ (+ (+ 1 (/ (log x) n)) (/ (* 1/6 (* 3 (pow (log x) 2))) (* n n))) (- 0 x)))
(/ -1 n)
-1
n
(/ (+ (+ 1 (/ (log x) n)) (/ (* 1/6 (* 3 (pow (log x) 2))) (* n n))) (- 0 x))
(+ (+ 1 (/ (log x) n)) (/ (* 1/6 (* 3 (pow (log x) 2))) (* n n)))
(+ 1 (/ (log x) n))
1
(/ (log x) n)
(log x)
x
(/ (* 1/6 (* 3 (pow (log x) 2))) (* n n))
(* 1/6 (* 3 (pow (log x) 2)))
1/6
(* 3 (pow (log x) 2))
3
(pow (log x) 2)
2
(* n n)
(- 0 x)
0
Outputs
(/ (log (/ x (+ 1 x))) (neg n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(log (/ x (+ 1 x)))
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(neg n)
(-.f64 #s(literal 0 binary64) n)
n
0
#s(literal 0 binary64)
(- (pow (+ x 1) (/ 1 n)) 1)
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64))
(pow (+ x 1) (/ 1 n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(* 1/3 (/ (* 3 (- (log (+ 1 x)) (log x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
1/3
#s(literal 1/3 binary64)
(/ (* 3 (- (log (+ 1 x)) (log x))) n)
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 #s(literal 3 binary64) n))
(* 3 (- (log (+ 1 x)) (log x)))
(*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))
3
#s(literal 3 binary64)
(- (log (+ 1 x)) (log x))
(-.f64 (log1p.f64 x) (log.f64 x))
(log (+ 1 x))
(log1p.f64 x)
x
(log x)
(log.f64 x)
n
(* (/ -1 n) (/ (+ (+ 1 (/ (log x) n)) (/ (* 1/6 (* 3 (pow (log x) 2))) (* n n))) (- 0 x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 x) n) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 x) n) #s(literal 1/2 binary64))))) (*.f64 x n))
(/ -1 n)
(/.f64 #s(literal -1 binary64) n)
-1
#s(literal -1 binary64)
n
(/ (+ (+ 1 (/ (log x) n)) (/ (* 1/6 (* 3 (pow (log x) 2))) (* n n))) (- 0 x))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (log.f64 x) n) (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (log.f64 x) n) #s(literal 1/2 binary64))))) x)
(+ (+ 1 (/ (log x) n)) (/ (* 1/6 (* 3 (pow (log x) 2))) (* n n)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 x) n) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 x) n) #s(literal 1/2 binary64)))))
(+ 1 (/ (log x) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
1
#s(literal 1 binary64)
(/ (log x) n)
(/.f64 (log.f64 x) n)
(log x)
(log.f64 x)
x
(/ (* 1/6 (* 3 (pow (log x) 2))) (* n n))
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 n n))
(* 1/6 (* 3 (pow (log x) 2)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
1/6
#s(literal 1/6 binary64)
(* 3 (pow (log x) 2))
(*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
3
#s(literal 3 binary64)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* n n)
(*.f64 n n)
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)

localize655.0ms (1.5%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
✓accuracy99.8%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓accuracy99.7%
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n)))
✓accuracy99.6%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n))
✓accuracy100.0%
(-.f64 (log1p.f64 x) (log.f64 x))
✓accuracy99.9%
(/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n)
✓accuracy99.9%
(*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))
✓accuracy99.8%
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy90.2%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy88.7%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
✓accuracy100.0%
(neg.f64 n)
✓accuracy100.0%
(log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(/.f64 x (+.f64 #s(literal 1 binary64) x))
✓accuracy99.9%
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
Results
521.0ms187×5exit
69.0ms69×1valid
Compiler

Compiled 225 to 37 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 462.0ms
ival-pow: 133.0ms (28.8% of total)
ival-log: 103.0ms (22.3% of total)
backward-pass: 66.0ms (14.3% of total)
ival-div: 46.0ms (9.9% of total)
ival-mult: 33.0ms (7.1% of total)
ival-add: 23.0ms (5% of total)
compiled-spec: 22.0ms (4.8% of total)
...c/correct-round.rkt:119:19: 19.0ms (4.1% of total)
ival-sub: 12.0ms (2.6% of total)
const: 2.0ms (0.4% of total)
ival-neg: 2.0ms (0.4% of total)

series85.0ms (0.2%)

Counts
19 → 336
Calls
Call 1
Inputs
#<alt (log (/ x (+ 1 x)))>
#<alt (/ x (+ 1 x))>
#<alt (+ 1 x)>
#<alt (/ (log (/ x (+ 1 x))) (neg n))>
#<alt (- (pow (+ x 1) (/ 1 n)) 1)>
#<alt (pow (+ x 1) (/ 1 n))>
#<alt (+ x 1)>
#<alt (/ 1 n)>
#<alt (* 1/3 (/ (* 3 (- (log (+ 1 x)) (log x))) n))>
#<alt (/ (* 3 (- (log (+ 1 x)) (log x))) n)>
#<alt (* 3 (- (log (+ 1 x)) (log x)))>
#<alt (- (log (+ 1 x)) (log x))>
#<alt (* (/ -1 n) (/ (+ (+ 1 (/ (log x) n)) (/ (* 1/6 (* 3 (pow (log x) 2))) (* n n))) (- 0 x)))>
#<alt (/ (+ (+ 1 (/ (log x) n)) (/ (* 1/6 (* 3 (pow (log x) 2))) (* n n))) (- 0 x))>
#<alt (+ (+ 1 (/ (log x) n)) (/ (* 1/6 (* 3 (pow (log x) 2))) (* n n)))>
#<alt (/ (* 1/6 (* 3 (pow (log x) 2))) (* n n))>
#<alt (neg n)>
#<alt (pow (log x) 2)>
#<alt (* 1/6 (* 3 (pow (log x) 2)))>
Outputs
#<alt (log x)>
#<alt (+ (log x) (* -1 x))>
#<alt (+ (log x) (* x (- (* 1/2 x) 1)))>
#<alt (+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))>
#<alt (/ -1 x)>
#<alt (/ (- (* 1/2 (/ 1 x)) 1) x)>
#<alt (/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- x 1))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* -1 (/ (log x) n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (/ 1 (* n x))>
#<alt (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)>
#<alt (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (/ x n)>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (* x (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (- (exp (* -1 (/ (log (/ 1 x)) n))) 1)>
#<alt (- (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) 1)>
#<alt (- (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)))) 1)>
#<alt (- (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3))))) 1)>
#<alt (- (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1)>
#<alt (- (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))) 1)>
#<alt (- (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))) 1)>
#<alt (- (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))) 1)>
#<alt (- (exp (/ (log (+ 1 x)) n)) 1)>
#<alt (- (exp (/ (log (+ 1 x)) n)) 1)>
#<alt (- (exp (/ (log (+ 1 x)) n)) 1)>
#<alt (- (exp (/ (log (+ 1 x)) n)) 1)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) n)>
#<alt (/ (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) n)>
#<alt (/ (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))>
#<alt (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))>
#<alt (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/24 (/ (pow (log (+ 1 x)) 4) n))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (* -1 (/ (log x) n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (/ 1 (* n x))>
#<alt (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)>
#<alt (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (* -3 (/ (log x) n))>
#<alt (+ (* -3 (/ (log x) n)) (* 3 (/ x n)))>
#<alt (+ (* -3 (/ (log x) n)) (* x (+ (* -3/2 (/ x n)) (* 3 (/ 1 n)))))>
#<alt (+ (* -3 (/ (log x) n)) (* x (+ (* x (- (/ x n) (* 3/2 (/ 1 n)))) (* 3 (/ 1 n)))))>
#<alt (/ 3 (* n x))>
#<alt (/ (- (* 3 (/ 1 n)) (* 3/2 (/ 1 (* n x)))) x)>
#<alt (/ (- (+ (* 3 (/ 1 n)) (/ 1 (* n (pow x 2)))) (/ 3/2 (* n x))) x)>
#<alt (/ (- (+ (* 3 (/ 1 n)) (/ 1 (* n (pow x 2)))) (+ (* 3/4 (/ 1 (* n (pow x 3)))) (/ 3/2 (* n x)))) x)>
#<alt (/ 3 (* n x))>
#<alt (* -1 (/ (- (* 3/2 (/ 1 (* n x))) (* 3 (/ 1 n))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* n x)) (* 3/2 (/ 1 n))) x)) (* 3 (/ 1 n))) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 3/4 (/ 1 (* n x))) (/ 1 n)) x)) (* 3/2 (/ 1 n))) x)) (* 3 (/ 1 n))) x))>
#<alt (* 3 (/ (- (log (+ 1 x)) (log x)) n))>
#<alt (* 3 (/ (- (log (+ 1 x)) (log x)) n))>
#<alt (* 3 (/ (- (log (+ 1 x)) (log x)) n))>
#<alt (* 3 (/ (- (log (+ 1 x)) (log x)) n))>
#<alt (* 3 (/ (- (log (+ 1 x)) (log x)) n))>
#<alt (* 3 (/ (- (log (+ 1 x)) (log x)) n))>
#<alt (* 3 (/ (- (log (+ 1 x)) (log x)) n))>
#<alt (* 3 (/ (- (log (+ 1 x)) (log x)) n))>
#<alt (* 3 (/ (- (log (+ 1 x)) (log x)) n))>
#<alt (* 3 (/ (- (log (+ 1 x)) (log x)) n))>
#<alt (* 3 (/ (- (log (+ 1 x)) (log x)) n))>
#<alt (* 3 (/ (- (log (+ 1 x)) (log x)) n))>
#<alt (* -3 (log x))>
#<alt (+ (* -3 (log x)) (* 3 x))>
#<alt (+ (* -3 (log x)) (* x (+ 3 (* -3/2 x))))>
#<alt (+ (* -3 (log x)) (* x (+ 3 (* x (- x 3/2)))))>
#<alt (/ 3 x)>
#<alt (/ (- 3 (* 3/2 (/ 1 x))) x)>
#<alt (/ (- (+ 3 (/ 1 (pow x 2))) (* 3/2 (/ 1 x))) x)>
#<alt (/ (- (+ 3 (/ 1 (pow x 2))) (+ (* 3/2 (/ 1 x)) (* 3/4 (/ 1 (pow x 3))))) x)>
#<alt (/ 3 x)>
#<alt (* -1 (/ (- (* 3/2 (/ 1 x)) 3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 3/2) x)) 3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 3/4 (/ 1 x)) 1) x)) 3/2) x)) 3) x))>
#<alt (* -1 (log x))>
#<alt (- x (log x))>
#<alt (- (* x (+ 1 (* -1/2 x))) (log x))>
#<alt (- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))>
#<alt (* 1/2 (/ (pow (log x) 2) (* (pow n 3) x)))>
#<alt (/ (+ (* 1/2 (/ (pow (log x) 2) x)) (/ (* n (log x)) x)) (pow n 3))>
#<alt (/ (+ (* 1/2 (/ (pow (log x) 2) x)) (* n (+ (/ n x) (/ (log x) x)))) (pow n 3))>
#<alt (/ (+ (* 1/2 (/ (pow (log x) 2) x)) (* n (+ (/ n x) (/ (log x) x)))) (pow n 3))>
#<alt (/ 1 (* n x))>
#<alt (/ (+ (/ 1 x) (/ (log x) (* n x))) n)>
#<alt (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)>
#<alt (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) (* n x))>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) (* n x))>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) (* n x))>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) (* n x))>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) (* n x))>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) (* n x))>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) (* n x))>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) (* n x))>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (/ (log -1) n)))) (* n x))>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (/ (log -1) n)))) (* n x))>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (/ (log -1) n)))) (* n x))>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (/ (log -1) n)))) (* n x))>
#<alt (* -1 (/ (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) x))>
#<alt (* -1 (/ (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) x))>
#<alt (* -1 (/ (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) x))>
#<alt (* -1 (/ (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (/ (log -1) n)))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (/ (log -1) n)))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (/ (log -1) n)))) x))>
#<alt (* -1 (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (/ (log -1) n)))) x))>
#<alt (* -1/2 (/ (pow (log x) 2) (* (pow n 2) x)))>
#<alt (/ (+ (* -1 (/ (* n (log x)) x)) (* -1/2 (/ (pow (log x) 2) x))) (pow n 2))>
#<alt (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* n (+ (* -1 (/ n x)) (* -1 (/ (log x) x))))) (pow n 2))>
#<alt (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* n (+ (* -1 (/ n x)) (* -1 (/ (log x) x))))) (pow n 2))>
#<alt (/ -1 x)>
#<alt (- (* -1 (/ (log x) (* n x))) (/ 1 x))>
#<alt (- (+ (* -1 (/ (log x) (* n x))) (* -1/2 (/ (pow (log x) 2) (* (pow n 2) x)))) (/ 1 x))>
#<alt (- (+ (* -1 (/ (log x) (* n x))) (* -1/2 (/ (pow (log x) 2) (* (pow n 2) x)))) (/ 1 x))>
#<alt (/ -1 x)>
#<alt (- (* -1 (/ (log x) (* n x))) (/ 1 x))>
#<alt (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x))>
#<alt (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))>
#<alt (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))>
#<alt (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))>
#<alt (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))>
#<alt (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (/ (log -1) n))))>
#<alt (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (/ (log -1) n))))>
#<alt (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (/ (log -1) n))))>
#<alt (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (/ (log -1) n))))>
#<alt (* 1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (/ (+ (* 1/2 (pow (log x) 2)) (* n (log x))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow (log x) 2)) (* n (+ n (log x)))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow (log x) 2)) (* n (+ n (log x)))) (pow n 2))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))>
#<alt (* 1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (* 1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (* 1/2 (pow (log x) 2))>
#<alt (* 1/2 (pow (log x) 2))>
#<alt (* 1/2 (pow (log x) 2))>
#<alt (* 1/2 (pow (log x) 2))>
#<alt (* 1/2 (pow (log (/ 1 x)) 2))>
#<alt (* 1/2 (pow (log (/ 1 x)) 2))>
#<alt (* 1/2 (pow (log (/ 1 x)) 2))>
#<alt (* 1/2 (pow (log (/ 1 x)) 2))>
#<alt (* 1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))>
#<alt (* 1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))>
#<alt (* 1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))>
#<alt (* 1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))>
Calls

84 calls:

TimeVariablePointExpression
54.0ms
n
@0
(/ (log (/ x (+ 1 x))) (neg n))
6.0ms
x
@-inf
(* (/ -1 n) (/ (+ (+ 1 (/ (log x) n)) (/ (* 1/6 (* 3 (pow (log x) 2))) (* n n))) (- 0 x)))
5.0ms
x
@inf
(* (/ -1 n) (/ (+ (+ 1 (/ (log x) n)) (/ (* 1/6 (* 3 (pow (log x) 2))) (* n n))) (- 0 x)))
5.0ms
n
@inf
(/ (log (/ x (+ 1 x))) (neg n))
1.0ms
x
@0
(* (/ -1 n) (/ (+ (+ 1 (/ (log x) n)) (/ (* 1/6 (* 3 (pow (log x) 2))) (* n n))) (- 0 x)))

rewrite294.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
4176×/-lowering-/.f32
4176×/-lowering-/.f64
3420×*-lowering-*.f32
3420×*-lowering-*.f64
1536×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036145
1220128
22147126
09106126
Stop Event
1×iter limit
1×node limit
Counts
19 → 881
Calls
Call 1
Inputs
(log (/ x (+ 1 x)))
(/ x (+ 1 x))
(+ 1 x)
(/ (log (/ x (+ 1 x))) (neg n))
(- (pow (+ x 1) (/ 1 n)) 1)
(pow (+ x 1) (/ 1 n))
(+ x 1)
(/ 1 n)
(* 1/3 (/ (* 3 (- (log (+ 1 x)) (log x))) n))
(/ (* 3 (- (log (+ 1 x)) (log x))) n)
(* 3 (- (log (+ 1 x)) (log x)))
(- (log (+ 1 x)) (log x))
(* (/ -1 n) (/ (+ (+ 1 (/ (log x) n)) (/ (* 1/6 (* 3 (pow (log x) 2))) (* n n))) (- 0 x)))
(/ (+ (+ 1 (/ (log x) n)) (/ (* 1/6 (* 3 (pow (log x) 2))) (* n n))) (- 0 x))
(+ (+ 1 (/ (log x) n)) (/ (* 1/6 (* 3 (pow (log x) 2))) (* n n)))
(/ (* 1/6 (* 3 (pow (log x) 2))) (* n n))
(neg n)
(pow (log x) 2)
(* 1/6 (* 3 (pow (log x) 2)))
Outputs
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (log.f64 x))
(+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)))
(+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(+.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 x) (log1p.f64 x))
(-.f64 (log.f64 x) (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (log.f64 (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) x)))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x))))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x))))))
(fma.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) x)) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) x)))
(neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 x (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) x)))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
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(*.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) n)) (/.f64 #s(literal 1/6 binary64) n))
(*.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) n)) (/.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
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(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))
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(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) #s(literal 1/6 binary64))
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(*.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)) n))
(*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (-.f64 #s(literal 0 binary64) n)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)))
(*.f64 (pow.f64 (/.f64 n #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 n (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/6 binary64) n) n))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) n)) (/.f64 #s(literal -1/6 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) n)) (/.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))
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(*.f64 (/.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) n)) (/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))
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(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) n) (/.f64 (log.f64 x) n))
(*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 #s(literal 0 binary64) n)))
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (/.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) n)))
(*.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) n)))
(*.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) n)))
(*.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) n) n) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) n)))
(*.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) n))
(*.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) n)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) n))
(-.f64 #s(literal 0 binary64) n)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) n)) (/.f64 (*.f64 n n) (+.f64 #s(literal 0 binary64) n)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 n n) (*.f64 #s(literal 0 binary64) n)))) (/.f64 (*.f64 n (*.f64 n n)) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 n n) (*.f64 #s(literal 0 binary64) n)))))
(neg.f64 n)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))
(/.f64 n #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) n) #s(literal 1 binary64))
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(pow.f64 (-.f64 #s(literal 0 binary64) n) #s(literal 1 binary64))
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(*.f64 n #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) n)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
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(pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 x))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) (log.f64 x))

simplify234.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
3898×*-lowering-*.f32
3898×*-lowering-*.f64
2294×+-lowering-+.f64
2294×+-lowering-+.f32
1864×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05204210
116633766
245293614
081033614
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
Calls
Call 1
Inputs
(log x)
(+ (log x) (* -1 x))
(+ (log x) (* x (- (* 1/2 x) 1)))
(+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))
(/ -1 x)
(/ (- (* 1/2 (/ 1 x)) 1) x)
(/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x)
(/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) x)
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(/ 1 (* n x))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/ 1 (* n x))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
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1
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x
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(/ (+ (* 1/2 (pow (log x) 2)) (* n (+ n (log x)))) (pow n 2))
1
(+ 1 (/ (log x) n))
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(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
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(* 1/2 (pow (log (/ 1 x)) 2))
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Outputs
(log x)
(log.f64 x)
(+ (log x) (* -1 x))
(-.f64 (log.f64 x) x)
(+ (log x) (* x (- (* 1/2 x) 1)))
(+.f64 (log.f64 x) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))
(+.f64 (log.f64 x) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/2 (/ 1 x)) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
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(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n))
(* 1/2 (/ (pow (log x) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* 1/2 (/ (pow (log x) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* 1/2 (/ (pow (log x) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* 1/2 (/ (pow (log x) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2)))
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2)))
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2)))
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(* 1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2)))
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(* 1/2 (/ (pow (log x) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* 1/2 (/ (pow (log x) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* 1/2 (/ (pow (log x) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* 1/2 (/ (pow (log x) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* 1/2 (/ (pow (log x) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* 1/2 (/ (pow (log x) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* 1/2 (/ (pow (log x) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* 1/2 (/ (pow (log x) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* 1/2 (/ (pow (log x) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* 1/2 (/ (pow (log x) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* 1/2 (/ (pow (log x) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* 1/2 (/ (pow (log x) 2) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(* 1/2 (pow (log x) 2))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(* 1/2 (pow (log x) 2))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(* 1/2 (pow (log x) 2))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(* 1/2 (pow (log x) 2))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(* 1/2 (pow (log (/ 1 x)) 2))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(* 1/2 (pow (log (/ 1 x)) 2))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(* 1/2 (pow (log (/ 1 x)) 2))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(* 1/2 (pow (log (/ 1 x)) 2))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(* 1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
(* 1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
(* 1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))
(* 1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))

eval134.0ms (0.3%)

Compiler

Compiled 27118 to 3198 computations (88.2% saved)

prune176.0ms (0.4%)

Pruning

45 alts after pruning (41 fresh and 4 done)

PrunedKeptTotal
New1194231217
Fresh201838
Picked325
Done022
Total1217451262
Accuracy
100.0%
Counts
1262 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.9%
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))))))
42.0%
(fma.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 n n)) (log.f64 x)) (/.f64 #s(literal 1 binary64) n) (neg.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n))))
19.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
43.9%
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n))
28.5%
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 n))
55.4%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
39.6%
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
38.5%
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
49.2%
(/.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n)) n)) (neg.f64 n))
35.3%
(/.f64 (-.f64 x (log.f64 x)) n)
26.9%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n)))
✓19.0%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
43.9%
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
46.1%
(/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
10.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
60.5%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
35.4%
(/.f64 (log.f64 x) (neg.f64 n))
55.4%
(/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n))
4.4%
(/.f64 x n)
19.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
60.5%
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
39.5%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
60.4%
(/.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 n #s(literal 3 binary64)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
✓15.0%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
15.0%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓30.3%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
19.0%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) #s(literal -1 binary64)))
19.0%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
37.3%
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (-.f64 #s(literal 0 binary64) x)))
39.6%
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
60.5%
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
18.6%
(*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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)))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))))))
7.6%
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
13.2%
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x x))))
10.3%
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
6.8%
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))
43.8%
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) x)) x) n))
39.6%
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n))
43.9%
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x))
35.2%
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) n))
39.5%
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) n))
39.5%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x n)))
60.3%
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 3 binary64) n)))
60.3%
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) n))))
✓28.2%
#s(literal 0 binary64)
Compiler

Compiled 3068 to 943 computations (69.3% saved)

regimes106.0ms (0.2%)

Counts
96 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
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(fma.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (-.f64 #s(literal 0 binary64) n))
(fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
Outputs
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n))
Calls

4 calls:

25.0ms
n
24.0ms
(/.f64 #s(literal 1 binary64) n)
24.0ms
x
19.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
90.2%2x
86.1%4n
83.6%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
85.1%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes34.0ms (0.1%)

Counts
92 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) x)) x) n))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 3 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 n #s(literal 3 binary64)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 n (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 (+.f64 (*.f64 n (*.f64 n #s(literal -1/2 binary64))) (/.f64 n #s(literal 2 binary64))) x) (*.f64 n (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
(/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n))
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x x))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 n n))) x)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64)))) (*.f64 (*.f64 x n) (*.f64 #s(literal 3 binary64) (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n)) n)) (neg.f64 n))
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (log.f64 x)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) n)) n)
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))))))
(*.f64 (pow.f64 (/.f64 n (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(/.f64 (+.f64 (log1p.f64 x) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x))) n)
(fma.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 n n)) (log.f64 x)) (/.f64 #s(literal 1 binary64) n) (neg.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) n))))))
(*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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)))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64)))) n) (/.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64))) (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 n n)) (/.f64 #s(literal 3/2 binary64) n))) x)) x) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))))))
(fma.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
(/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n))
Calls

1 calls:

24.0ms
x
Results
AccuracySegmentsBranch
90.2%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes29.0ms (0.1%)

Counts
84 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) x)) x) n))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 3 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 n #s(literal 3 binary64)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 n (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 (+.f64 (*.f64 n (*.f64 n #s(literal -1/2 binary64))) (/.f64 n #s(literal 2 binary64))) x) (*.f64 n (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
(/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n))
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x x))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 n n))) x)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64)))) (*.f64 (*.f64 x n) (*.f64 #s(literal 3 binary64) (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n)) n)) (neg.f64 n))
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (log.f64 x)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) n)) n)
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))))))
(*.f64 (pow.f64 (/.f64 n (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(/.f64 (+.f64 (log1p.f64 x) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x))) n)
(fma.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 n n)) (log.f64 x)) (/.f64 #s(literal 1 binary64) n) (neg.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) n))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
Outputs
(/.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n)) n)) (neg.f64 n))
(/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n))
Calls

1 calls:

21.0ms
x
Results
AccuracySegmentsBranch
89.9%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes46.0ms (0.1%)

Counts
75 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) x)) x) n))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 3 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 n #s(literal 3 binary64)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 n (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 (+.f64 (*.f64 n (*.f64 n #s(literal -1/2 binary64))) (/.f64 n #s(literal 2 binary64))) x) (*.f64 n (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
(/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n))
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x x))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 n n))) x)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -3 binary64)))) (*.f64 (*.f64 x n) (*.f64 #s(literal 3 binary64) (exp.f64 (*.f64 (neg.f64 (/.f64 (log.f64 x) n)) #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
Outputs
(/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

2 calls:

21.0ms
(/.f64 #s(literal 1 binary64) n)
19.0ms
x
Results
AccuracySegmentsBranch
86.6%4(/.f64 #s(literal 1 binary64) n)
85.2%4x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes67.0ms (0.2%)

Counts
63 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) x)) x) n))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 3 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 n #s(literal 3 binary64)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 n (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 (+.f64 (*.f64 n (*.f64 n #s(literal -1/2 binary64))) (/.f64 n #s(literal 2 binary64))) x) (*.f64 n (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
(/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n))
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x x))))
Outputs
(/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

16.0ms
(/.f64 #s(literal 1 binary64) n)
16.0ms
n
16.0ms
x
13.0ms
(-.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
80.7%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
81.2%3x
84.0%5n
84.0%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes18.0ms (0%)

Counts
53 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) x)) x) n))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 3 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 n #s(literal 3 binary64)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 n (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 (+.f64 (*.f64 n (*.f64 n #s(literal -1/2 binary64))) (/.f64 n #s(literal 2 binary64))) x) (*.f64 n (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

14.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
83.9%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes27.0ms (0.1%)

Counts
45 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) x)) x) n))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 3 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 n #s(literal 3 binary64)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 n (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n))))
Outputs
(neg.f64 (/.f64 (log.f64 x) n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 n (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
Calls

2 calls:

12.0ms
(/.f64 #s(literal 1 binary64) n)
12.0ms
x
Results
AccuracySegmentsBranch
81.2%3x
83.9%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes39.0ms (0.1%)

Counts
44 → 5
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) x)) x) n))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 3 binary64) n)))
(/.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 n #s(literal 3 binary64)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
(*.f64 #s(literal 1/3 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) n))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) n) (*.f64 n (log.f64 x))) (*.f64 n n))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
Calls

3 calls:

12.0ms
n
12.0ms
(/.f64 #s(literal 1 binary64) n)
12.0ms
x
Results
AccuracySegmentsBranch
83.9%5(/.f64 #s(literal 1 binary64) n)
83.9%6n
76.8%2x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes32.0ms (0.1%)

Counts
36 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) x)) x) n))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
Calls

3 calls:

10.0ms
(/.f64 #s(literal 1 binary64) n)
10.0ms
x
10.0ms
n
Results
AccuracySegmentsBranch
65.4%3x
69.3%4n
69.3%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0%)

Counts
35 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) x)) x) n))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
Outputs
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
Calls

1 calls:

10.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
69.3%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes12.0ms (0%)

Counts
31 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) x)) x) n))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
Outputs
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
Calls

1 calls:

9.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
69.3%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes26.0ms (0.1%)

Counts
29 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) x)) x) n))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)) n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
Outputs
(/.f64 (-.f64 x (log.f64 x)) n)
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x))
#s(literal 0 binary64)
Calls

3 calls:

8.0ms
(/.f64 #s(literal 1 binary64) n)
8.0ms
x
8.0ms
n
Results
AccuracySegmentsBranch
65.1%3x
61.8%6n
61.7%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0%)

Counts
25 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) x)) x) n))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
Outputs
(neg.f64 (/.f64 (log.f64 x) n))
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x))
#s(literal 0 binary64)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
65.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0%)

Counts
23 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) x)) x) n))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal -1/2 binary64) n))))))
Outputs
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
#s(literal 0 binary64)
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x))
Calls

2 calls:

7.0ms
x
6.0ms
n
Results
AccuracySegmentsBranch
50.0%3n
47.2%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0%)

Counts
18 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) x)) x) n))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
Outputs
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
#s(literal 0 binary64)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
Calls

1 calls:

5.0ms
n
Results
AccuracySegmentsBranch
50.0%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts
17 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) x)) x) n))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
Outputs
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n))
#s(literal 0 binary64)
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n))
Calls

1 calls:

5.0ms
n
Results
AccuracySegmentsBranch
50.0%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts
14 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x n)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (neg.f64 n))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
Outputs
(*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n))
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
Calls

1 calls:

5.0ms
n
Results
AccuracySegmentsBranch
49.0%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts
6 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x n)))
Outputs
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n))
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
Calls

1 calls:

2.0ms
n
Results
AccuracySegmentsBranch
49.0%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts
4 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 x n))
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
Calls

1 calls:

2.0ms
n
Results
AccuracySegmentsBranch
49.0%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -15.8b remaining (-34.4%)

Threshold costs -15.8b (-34.4%)

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

2 calls:

2.0ms
n
2.0ms
x
Results
AccuracySegmentsBranch
28.2%1x
28.2%1n
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch41.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
38.0ms
0.17718219601841514
695648784.2400101
Results
13.0ms66×1valid
11.0ms29×2valid
6.0ms49×0valid
2.0ms19×0unsamplable
Compiler

Compiled 506 to 327 computations (35.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-pow: 19.0ms (74.4% of total)
ival-div: 2.0ms (7.8% of total)
ival-add: 2.0ms (7.8% of total)
backward-pass: 2.0ms (7.8% of total)
ival-sub: 1.0ms (3.9% of total)
const: 0.0ms (0% of total)

bsearch37.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
34.0ms
695648784.2400101
606402954539.4775
Results
12.0ms31×2valid
11.0ms54×1valid
5.0ms43×0valid
2.0ms17×0unsamplable
Compiler

Compiled 492 to 324 computations (34.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-pow: 17.0ms (72.9% of total)
ival-div: 2.0ms (8.6% of total)
backward-pass: 1.0ms (4.3% of total)
ival-sub: 1.0ms (4.3% of total)
ival-add: 1.0ms (4.3% of total)
const: 0.0ms (0% of total)

bsearch40.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
0.17718219601841514
695648784.2400101
Results
20.0ms83×1valid
6.0ms48×0valid
5.0ms13×2valid
1.0ms10×0unsamplable
Compiler

Compiled 380 to 264 computations (30.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-pow: 19.0ms (73.9% of total)
ival-div: 2.0ms (7.8% of total)
backward-pass: 1.0ms (3.9% of total)
ival-sub: 1.0ms (3.9% of total)
ival-add: 1.0ms (3.9% of total)
const: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.777258790253287e-6
3813968672.6577787
0.0ms
9.777536336660287e-72
1.9491927136245855e-70
0.0ms
-4.761630510434193e-103
-2.747833113452965e-103
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.777258790253287e-6
3813968672.6577787
0.0ms
9.777536336660287e-72
1.9491927136245855e-70
0.0ms
-4.761630510434193e-103
-2.747833113452965e-103
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.777258790253287e-6
3813968672.6577787
0.0ms
9.777536336660287e-72
1.9491927136245855e-70
0.0ms
-4.761630510434193e-103
-2.747833113452965e-103
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch68.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
34.0ms
1.8065701992003216e-43
7.574525810268294e-39
31.0ms
3.151681210310252e-163
2.741128078192506e-162
Results
48.0ms154×1valid
9.0ms70×0valid
Compiler

Compiled 558 to 352 computations (36.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-pow: 38.0ms (80.2% of total)
ival-div: 3.0ms (6.3% of total)
ival-add: 2.0ms (4.2% of total)
ival-sub: 2.0ms (4.2% of total)
backward-pass: 2.0ms (4.2% of total)
const: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
4.896495666745973e+119
7.609925705785055e+123
0.0ms
1.777258790253287e-6
3813968672.6577787
0.0ms
9.777536336660287e-72
1.9491927136245855e-70
0.0ms
-4.761630510434193e-103
-2.747833113452965e-103
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.896495666745973e+119
7.609925705785055e+123
0.0ms
1.6918074348037613e-9
1.965466619595373e-9
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.896495666745973e+119
7.609925705785055e+123
0.0ms
1.965466619595373e-9
5.1249710549816095e-9
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.896495666745973e+119
7.609925705785055e+123
0.0ms
1.965466619595373e-9
5.1249710549816095e-9
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch86.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
46.0ms
1.6750150102511278e+218
5.327543983412413e+222
36.0ms
0.17718219601841514
695648784.2400101
Results
43.0ms102×2valid
14.0ms65×1valid
12.0ms105×0valid
2.0ms17×0unsamplable
Compiler

Compiled 507 to 370 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-pow: 44.0ms (75.6% of total)
ival-div: 4.0ms (6.9% of total)
backward-pass: 3.0ms (5.2% of total)
ival-sub: 3.0ms (5.2% of total)
ival-add: 3.0ms (5.2% of total)
const: 1.0ms (1.7% of total)

bsearch92.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
51.0ms
1.6750150102511278e+218
5.327543983412413e+222
37.0ms
0.17718219601841514
695648784.2400101
Results
47.0ms108×2valid
17.0ms73×1valid
11.0ms91×0valid
3.0ms25×0unsamplable
Compiler

Compiled 498 to 370 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-pow: 49.0ms (76.9% of total)
ival-div: 5.0ms (7.8% of total)
backward-pass: 4.0ms (6.3% of total)
ival-sub: 3.0ms (4.7% of total)
ival-add: 3.0ms (4.7% of total)
const: 1.0ms (1.6% of total)

bsearch16.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
-1.3853056730086808e-301
-8.841027965073238e-302
5.0ms
-1.1536053676798095e-6
-9.879248723591766e-7
Results
11.0ms96×0valid
Compiler

Compiled 172 to 128 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-pow: 7.0ms (78.9% of total)
ival-div: 1.0ms (11.3% of total)
ival-add: 1.0ms (11.3% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
-1.3853056730086808e-301
-8.841027965073238e-302
5.0ms
-1.1536053676798095e-6
-9.879248723591766e-7
Results
11.0ms96×0valid
Compiler

Compiled 164 to 120 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-pow: 7.0ms (79.3% of total)
ival-div: 1.0ms (11.3% of total)
ival-add: 1.0ms (11.3% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
-1.3853056730086808e-301
-8.841027965073238e-302
5.0ms
-1.1536053676798095e-6
-9.879248723591766e-7
Results
11.0ms96×0valid
Compiler

Compiled 146 to 114 computations (21.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-pow: 7.0ms (79.1% of total)
ival-div: 1.0ms (11.3% of total)
ival-add: 1.0ms (11.3% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
-1.3853056730086808e-301
-8.841027965073238e-302
5.0ms
-1.1536053676798095e-6
-9.879248723591766e-7
Results
11.0ms96×0valid
Compiler

Compiled 96 to 76 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-pow: 7.0ms (80% of total)
ival-div: 1.0ms (11.4% of total)
ival-add: 1.0ms (11.4% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
-1.3853056730086808e-301
-8.841027965073238e-302
5.0ms
-1.1536053676798095e-6
-9.879248723591766e-7
Results
11.0ms96×0valid
Compiler

Compiled 94 to 74 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-pow: 7.0ms (80% of total)
ival-div: 1.0ms (11.4% of total)
ival-add: 1.0ms (11.4% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
-1.3853056730086808e-301
-8.841027965073238e-302
6.0ms
-1.1536053676798095e-6
-9.879248723591766e-7
Results
13.0ms96×0valid
Compiler

Compiled 92 to 72 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-pow: 7.0ms (67.6% of total)
ival-add: 2.0ms (19.3% of total)
ival-div: 1.0ms (9.7% of total)
ival-sub: 1.0ms (9.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify106.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
896×distribute-lft-neg-in_binary64
494×neg-mul-1_binary64
476×neg-sub0_binary64
384×cancel-sign-sub_binary64
374×distribute-neg-in_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0198829
1279829
2356829
3448828
4653827
5995827
61449825
71947825
82303825
92574825
102724825
112815825
122858825
132864825
142864825
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 13500 binary64)) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (-.f64 #s(literal 0 binary64) n)) (/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n)))
(if (<=.f64 x #s(literal 700000000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n)))
(if (<=.f64 x #s(literal 3242591731706757/9007199254740992 binary64)) (/.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n)) n)) (neg.f64 n)) (/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8069530869021589/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4722366482869645/2361183241434822606848 binary64)) (/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8069530869021589/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4722366482869645/2361183241434822606848 binary64)) (/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8069530869021589/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4722366482869645/2361183241434822606848 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 x #s(literal 6483618076376551/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 5746858278247083/766247770432944429179173513575154591809369561091801088 binary64)) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 n (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8069530869021589/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2486616182048933/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4722366482869645/2361183241434822606848 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 499999999999999990001734173697100590834402596448504259094324155915386207313714362732394717464996219877388037590538518528 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4352132950612665/2417851639229258349412352 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 499999999999999990001734173697100590834402596448504259094324155915386207313714362732394717464996219877388037590538518528 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 499999999999999990001734173697100590834402596448504259094324155915386207313714362732394717464996219877388037590538518528 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 499999999999999990001734173697100590834402596448504259094324155915386207313714362732394717464996219877388037590538518528 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))))
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 2400000000000000041613946077986012988087822589384599096979638263577768254933161785339073737800005388442273852746229817650484301699040021927871400948551003006237378626476301612752545047361801037899857916804161916477898752 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x)) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 800000000000000066126070673006990323473011811412355480563685102492493004800819801687108486643204416034483911543486842510189057634335166157053928355939129909201487577281726519582860437503287499302665026618933932132925440 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x)) #s(literal 0 binary64)))
(if (<=.f64 n #s(literal -4958484807013127/4722366482869645213696 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x) (if (<=.f64 n #s(literal -205089944972055/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -3/2 binary64) n)) x)) x))))
(if (<=.f64 n #s(literal -4958484807013127/4722366482869645213696 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x) (if (<=.f64 n #s(literal -205089944972055/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)))
(if (<=.f64 n #s(literal -1357680363825023/1180591620717411303424 binary64)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n)) (if (<=.f64 n #s(literal -2943643916069495/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (neg.f64 n))))
(if (<=.f64 n #s(literal -1357680363825023/1180591620717411303424 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n)) (if (<=.f64 n #s(literal -3136669746631429/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(if (<=.f64 n #s(literal -1357680363825023/1180591620717411303424 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (if (<=.f64 n #s(literal -205089944972055/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(if (<=.f64 n #s(literal -1357680363825023/1180591620717411303424 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (if (<=.f64 n #s(literal -205089944972055/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(literal 0 binary64)
Outputs
(if (<=.f64 x #s(literal 13500 binary64)) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (-.f64 #s(literal 0 binary64) n)) (/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n)))
(if (<=.f64 x #s(literal 13500 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n) (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x #s(literal 700000000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n)))
(if (<=.f64 x #s(literal 700000000 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
(if (<=.f64 x #s(literal 3242591731706757/9007199254740992 binary64)) (/.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n)) n)) (neg.f64 n)) (/.f64 (exp.f64 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.f64 x n)))
(if (<=.f64 x #s(literal 3242591731706757/9007199254740992 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n)) n) (log.f64 x)) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)))
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(if (<=.f64 n #s(literal -1357680363825023/1180591620717411303424 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x) n) (if (<=.f64 n #s(literal -2943643916069495/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) x) n)))
(if (<=.f64 n #s(literal -1357680363825023/1180591620717411303424 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 3 binary64) x) n)) (if (<=.f64 n #s(literal -3136669746631429/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(if (<=.f64 n #s(literal -1357680363825023/1180591620717411303424 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 n)) (if (<=.f64 n #s(literal -205089944972055/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(if (<=.f64 n #s(literal -1357680363825023/1180591620717411303424 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) n) (if (<=.f64 n #s(literal -205089944972055/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(if (<=.f64 n #s(literal -1357680363825023/1180591620717411303424 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (if (<=.f64 n #s(literal -205089944972055/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(literal 0 binary64)

soundness2.4s (5.6%)

Rules
4440×*-lowering-*.f32
4440×*-lowering-*.f64
4290×*-lowering-*.f32
4290×*-lowering-*.f64
4274×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0826
15924
242524
3480324
0802624
0205821810
1724320860
0810720860
055268
1347249
23461246
08242246
05204210
116633766
245293614
081033614
057331
1449311
24845311
08294311
036145
1220128
22147126
09106126
010369345
135618211
084988211
02631600
18111384
225601304
082531304
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1831 to 873 computations (52.3% saved)

preprocess97.0ms (0.2%)

Compiler

Compiled 1764 to 400 computations (77.3% saved)

end0.0ms (0%)

Profiling

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