2nthrt (problem 3.4.6)

Time bar (total: 43.4s)

analyze361.0ms (0.8%)

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: 209.0ms
ival-pow: 168.0ms (80.4% of total)
ival-div: 16.0ms (7.7% of total)
ival-add: 12.0ms (5.7% of total)
ival-sub: 10.0ms (4.8% of total)
const: 2.0ms (1% of total)
backward-pass: 1.0ms (0.5% of total)

sample31.1s (71.7%)

Results
26.0s7068×5exit
2.3s3792×1valid
1.1s1915×2valid
398.0ms2549×0valid
236.0ms1530×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 27.6s
ival-pow: 24.9s (90.2% of total)
backward-pass: 1.0s (3.7% of total)
ival-div: 624.0ms (2.3% of total)
ival-add: 556.0ms (2% of total)
ival-sub: 443.0ms (1.6% of total)
const: 66.0ms (0.2% of total)
Bogosity

preprocess50.0ms (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)))

explain318.0ms (0.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1130-0-(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
3870(5.244579064909586e-97 1.1995789405010234e-80)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
069(3.3612023930506354e-207 -1.9424354673529978e-185)0-(pow.f64 x (/.f64 #s(literal 1 binary64) n))
00-0-(+.f64 x #s(literal 1 binary64))
Results
185.0ms300×1valid
69.0ms122×2valid
14.0ms90×0valid
Compiler

Compiled 89 to 26 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 196.0ms
ival-pow: 120.0ms (61.1% of total)
ival-add: 46.0ms (23.4% of total)
backward-pass: 14.0ms (7.1% of total)
ival-div: 9.0ms (4.6% of total)
ival-sub: 6.0ms (3.1% of total)
const: 1.0ms (0.5% 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
▶52.1%
(-.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)

simplify14.0ms (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))

localize139.0ms (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))
✓accuracy86.1%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy60.1%
(-.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
83.0ms150×1valid
33.0ms61×2valid
10.0ms45×0valid
Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-pow: 61.0ms (75.9% of total)
backward-pass: 7.0ms (8.7% of total)
ival-div: 5.0ms (6.2% of total)
ival-add: 4.0ms (5% of total)
ival-sub: 3.0ms (3.7% of total)
const: 1.0ms (1.2% of total)

series58.0ms (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))
18.0ms
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
x
@-inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite246.0ms (0.6%)

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))
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(/.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))))
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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))))

simplify238.0ms (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))

eval54.0ms (0.1%)

Compiler

Compiled 13122 to 1274 computations (90.3% saved)

prune70.0ms (0.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New41718435
Fresh000
Picked101
Done000
Total41818436
Accuracy
99.7%
Counts
436 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
24.8%
(/.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)))))
24.8%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
24.8%
(/.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)))))
24.8%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
▶67.2%
(/.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))
57.9%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
▶32.4%
(/.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)
39.2%
(/.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)
64.7%
(/.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)
17.3%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
32.8%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶25.0%
(-.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)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
17.4%
(-.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 (*.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)))
60.1%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶40.3%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
24.3%
(+.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))))))
▶24.8%
(*.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))))
Compiler

Compiled 1072 to 578 computations (46.1% saved)

simplify174.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
✓cost-diff128
(*.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))))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n)
✓cost-diff0
(+.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))
✓cost-diff0
(/.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)
✓cost-diff128
(*.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))))
✓cost-diff0
(*.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-diff0
(+.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-diff0
(-.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-diff128
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 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 (*.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))
✓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 (*.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))
Rules
1894×fnmadd-define
1880×*-lowering-*.f32
1880×*-lowering-*.f64
1828×--lowering--.f32
1828×--lowering--.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065675
1156650
2446650
31349648
44912648
08272648
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))) (* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)))) 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))) (* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)))) 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))) (* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)))) n)) n)
(- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (- (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)))) 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))) (* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)))) n)
(- (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4))))
(* -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)
(* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)))
(/ 1/24 n)
1/24
n
(- (pow (log (+ 1 x)) 4) (pow (log x) 4))
(pow (log (+ 1 x)) 4)
4
(pow (log x) 4)
(- 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))
(/ (+ (/ (/ 1 (pow x (/ -1 n))) n) (/ (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ 1 (pow x (/ -1 n)))) x)) x)
(+ (/ (/ 1 (pow x (/ -1 n))) n) (/ (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ 1 (pow x (/ -1 n)))) x))
(/ (/ 1 (pow x (/ -1 n))) n)
(/ 1 (pow x (/ -1 n)))
1
(pow x (/ -1 n))
x
(/ -1 n)
-1
n
(/ (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ 1 (pow x (/ -1 n)))) x)
(* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ 1 (pow x (/ -1 n))))
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(/ 1/2 (* n n))
1/2
(* n n)
(/ -1/2 n)
-1/2
(* (/ 1 (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (- (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))))
(/ 1 (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))
1
(+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
x
(/ 1 n)
n
(pow x (/ 1 n))
(- (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))
(pow (+ x 1) (/ 2 n))
(/ 2 n)
2
(pow x (/ 2 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))) (* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)))) n)) n)) (- 0 n))
(/.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 (*.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)))) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n)) n) (-.f64 (log1p.f64 x) (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))) (* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)))) n)) n))
(+.f64 (log.f64 x) (-.f64 (/.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 (*.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)))) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n)) n) (log1p.f64 x)))
(- (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))) (* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)))) 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)))) (/.f64 (+.f64 (*.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)))) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n)) n)
(- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (- (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)))) n))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (+.f64 (*.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)))) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n))
(* 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))) (* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)))) n)
(/.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 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 x) #s(literal 4 binary64))))) n)
(- (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4))))
(+.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 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 x) #s(literal 4 binary64)))))
(* -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))
(* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)))
(*.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))))
(/ 1/24 n)
(/.f64 #s(literal 1/24 binary64) n)
1/24
#s(literal 1/24 binary64)
n
(- (pow (log (+ 1 x)) 4) (pow (log x) 4))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))
(pow (log (+ 1 x)) 4)
(pow.f64 (log1p.f64 x) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(pow (log x) 4)
(pow.f64 (log.f64 x) #s(literal 4 binary64))
(- 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 n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))))
(+ 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 n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))))
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 n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))))
x
(+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))
(+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))
(+ (/ 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))
(/ (+ (/ (/ 1 (pow x (/ -1 n))) n) (/ (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ 1 (pow x (/ -1 n)))) x)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (pow.f64 x (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))))) x)
(+ (/ (/ 1 (pow x (/ -1 n))) n) (/ (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ 1 (pow x (/ -1 n)))) x))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (pow.f64 x (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)))))
(/ (/ 1 (pow x (/ -1 n))) n)
(/.f64 #s(literal 1 binary64) (*.f64 n (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/ 1 (pow x (/ -1 n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
1
#s(literal 1 binary64)
(pow x (/ -1 n))
(pow.f64 x (/.f64 #s(literal -1 binary64) n))
x
(/ -1 n)
(/.f64 #s(literal -1 binary64) n)
-1
#s(literal -1 binary64)
n
(/ (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ 1 (pow x (/ -1 n)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (pow.f64 x (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))))
(* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ 1 (pow x (/ -1 n))))
(/.f64 (+.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)))
(+ (/ 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)
(* (/ 1 (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (- (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))))
(/ 1 (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))))
1
#s(literal 1 binary64)
(+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(pow (+ x 1) (/ 1 n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(- (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))

localize1.2s (2.9%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy99.5%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))
✓accuracy99.2%
(*.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))))
✓accuracy83.5%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
✓accuracy100.0%
(/.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)
✓accuracy99.9%
(/.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)
✓accuracy99.6%
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
✓accuracy99.4%
(+.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))
✓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)))))
✓accuracy99.9%
(*.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))
✓accuracy83.5%
(-.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 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy83.5%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy99.9%
(*.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))))
✓accuracy99.8%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓accuracy99.7%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
✓accuracy99.7%
(pow.f64 (log.f64 x) #s(literal 4 binary64))
Results
834.0ms117×5exit
138.0ms55×1valid
74.0ms66×0unsamplable
49.0ms18×1unsamplable
Compiler

Compiled 734 to 65 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 687.0ms
ival-pow: 228.0ms (33.2% of total)
backward-pass: 125.0ms (18.2% of total)
ival-log: 82.0ms (11.9% of total)
ival-div: 69.0ms (10% of total)
ival-sub: 58.0ms (8.4% of total)
ival-mult: 40.0ms (5.8% of total)
...c/correct-round.rkt:119:19: 38.0ms (5.5% of total)
ival-add: 23.0ms (3.3% of total)
compiled-spec: 21.0ms (3.1% of total)
const: 3.0ms (0.4% of total)

series140.0ms (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))) (* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)))) 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))) (* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)))) n)) n))>
#<alt (- (log x) (log (+ 1 x)))>
#<alt (log x)>
#<alt (- 1 (pow x (/ 1 n)))>
#<alt (pow x (/ 1 n))>
#<alt (/ 1 n)>
#<alt (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))>
#<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 (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ 1 (pow x (/ -1 n))))>
#<alt (/ (+ (/ (/ 1 (pow x (/ -1 n))) n) (/ (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ 1 (pow x (/ -1 n)))) x)) x)>
#<alt (+ (/ (/ 1 (pow x (/ -1 n))) n) (/ (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ 1 (pow x (/ -1 n)))) x))>
#<alt (/ (/ 1 (pow x (/ -1 n))) n)>
#<alt (* (/ 1 (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (- (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))))>
#<alt (/ 1 (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))>
#<alt (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))>
#<alt (pow (+ x 1) (/ 1 n))>
#<alt (pow (log x) 4)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 2)>
#<alt (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))>
#<alt (/ 1/2 (* n n))>
#<alt (/ (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ 1 (pow x (/ -1 n)))) x)>
#<alt (- (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))>
#<alt (pow (+ x 1) (/ 2 n))>
Outputs
#<alt (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/24 (/ (pow (log x) 4) (pow n 3))))) n))>
#<alt (+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/24 (/ (pow (log x) 4) (pow n 3))))) n)) (/ x n))>
#<alt (+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/24 (/ (pow (log x) 4) (pow n 3))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))>
#<alt (+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/24 (/ (pow (log x) 4) (pow n 3))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))>
#<alt (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* -1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))))) (* n x)))>
#<alt (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* -1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (+ (* 1/24 (/ (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 4 (/ (pow (log (/ 1 x)) 2) (pow n 3)))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x))) x)>
#<alt (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) n)) (+ (* 1/24 (/ (+ (* -4 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 2 (/ (* (pow (log (/ 1 x)) 2) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 3)))) n)) (+ (* 1/3 (/ 1 n)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n))))) (pow x 2))) (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* -1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (+ (* 1/24 (/ (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 4 (/ (pow (log (/ 1 x)) 2) (pow n 3)))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)))) x)>
#<alt (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) n)) (+ (* 1/24 (/ (+ (* -4 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 2 (/ (* (pow (log (/ 1 x)) 2) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 3)))) n)) (+ (* 1/3 (/ 1 n)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n))))) (pow x 2))) (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* -1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))))) n)) (+ (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (+ (* 1/24 (/ (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 4 (/ (pow (log (/ 1 x)) 2) (pow n 3)))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (* -1 (/ (- (+ (* -1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/4 (/ 1 n))) (+ (* 1/24 (/ (+ (* -4 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 3))) (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 3))) (/ (pow (+ 1 (log (/ 1 x))) 2) (pow n 3)))) n)) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n)))) (pow x 3)))))) 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)))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 3))))) (* 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)))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 3))))) 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 x))) (/ 1/2 (* n x)))) (+ (* 1/24 (/ (+ (* 2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (pow n 3))) (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 3)))) (* n x))) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 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)))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 3))))) n)) (* -1 (/ (- (+ (* -1 (- (+ (* -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))) (+ (* 1/24 (/ (+ (* 2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (pow n 3))) (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 3)))) n)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) 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 x))) (/ 1/3 (* n x)))) (+ (* 1/24 (/ (+ (* -4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 3))) (* 2 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (pow n 3)))) (* n x))) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) (* n x))))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (+ (* -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))) (+ (* 1/24 (/ (+ (* 2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (pow n 3))) (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 3)))) n)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))))) (* -1 (/ (- (+ (* -1 (- (+ (* -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)) (* 1/3 (/ 1 n))) (+ (* 1/24 (/ (+ (* -4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 3))) (* 2 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (pow n 3)))) n)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))))) (+ (* -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))) (/ 1/4 (* n x)))) (+ (* 1/24 (/ (+ (* -4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 3))) (+ (* 2 (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (pow n 3))) (/ (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow n 3)))) (* n x))) (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (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)))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 3))))) n))) x))>
#<alt (* 1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow n 4)))>
#<alt (/ (+ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) (* 1/6 (* n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))))) (pow n 4))>
#<alt (/ (+ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) (* n (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))))) (pow n 4))>
#<alt (/ (+ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) (* n (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))))) (pow n 4))>
#<alt (* -1 (/ (- (log x) (log (+ 1 x))) n))>
#<alt (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)>
#<alt (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)>
#<alt (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (+ (* 1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow n 3))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))))) n)>
#<alt (* -1 (/ (- (log x) (log (+ 1 x))) n))>
#<alt (* -1 (/ (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x))) n))>
#<alt (* -1 (/ (- (+ (log x) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x))) n))>
#<alt (* -1 (/ (- (+ (log x) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x))) n))>
#<alt (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/24 (/ (pow (log x) 4) (pow n 3)))))>
#<alt (- (+ (log x) (+ (* -1 x) (* 1/6 (/ (pow (log x) 3) (pow n 2))))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/24 (/ (pow (log x) 4) (pow n 3)))))>
#<alt (- (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/24 (/ (pow (log x) 4) (pow n 3)))))>
#<alt (- (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1)))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/24 (/ (pow (log x) 4) (pow n 3)))))>
#<alt (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* -1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))))) x)>
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#<alt (/ (+ (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) n)) (+ (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) x) (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2))))) (pow x 2)))) x)>
#<alt (/ (+ (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) n)) (+ (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) x) (+ (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2))))) (pow x 2)) (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (+ (* 2/3 (/ 1 (pow n 4))) (* 11/6 (/ 1 (pow n 2)))) (+ (* 1/2 (/ 1 n)) (* 2 (/ 1 (pow n 3)))))) (pow x 3))))) x)>
#<alt (* 2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x)))>
#<alt (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) x))) x))>
#<alt (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))))) x)) (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n)))) x))) x))>
#<alt (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (+ (* 2/3 (/ 1 (pow n 4))) (* 11/6 (/ 1 (pow n 2)))) (+ (* 1/2 (/ 1 n)) (* 2 (/ 1 (pow n 3)))))) x)) (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3))))))) x)) (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n)))) x))) x))>
#<alt (- (exp (* 2 (/ (log (+ 1 x)) n))) (exp (* 2 (/ (log x) n))))>
#<alt (- (exp (* 2 (/ (log (+ 1 x)) n))) (exp (* 2 (/ (log x) n))))>
#<alt (- (exp (* 2 (/ (log (+ 1 x)) n))) (exp (* 2 (/ (log x) n))))>
#<alt (- (exp (* 2 (/ (log (+ 1 x)) n))) (exp (* 2 (/ (log x) n))))>
#<alt (/ (- (* 2 (log (+ 1 x))) (* 2 (log x))) n)>
#<alt (/ (- (+ (* 2 (log (+ 1 x))) (* 2 (/ (pow (log (+ 1 x)) 2) n))) (+ (* 2 (log x)) (* 2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (+ (* 2 (log (+ 1 x))) (* 2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (* 4/3 (/ (pow (log x) 3) (pow n 2))) (+ (* 2 (log x)) (* 2 (/ (pow (log x) 2) n))))) n)>
#<alt (/ (- (+ (* 2/3 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (+ (* 2 (log (+ 1 x))) (* 2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (* 2/3 (/ (pow (log x) 4) (pow n 3))) (+ (* 4/3 (/ (pow (log x) 3) (pow n 2))) (+ (* 2 (log x)) (* 2 (/ (pow (log x) 2) n)))))) n)>
#<alt (* -1 (/ (- (* -2 (log (+ 1 x))) (* -2 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -2 (log (+ 1 x))) (* -1 (/ (- (* 2 (pow (log (+ 1 x)) 2)) (* 2 (pow (log x) 2))) n))) (* -2 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -2 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -4/3 (pow (log (+ 1 x)) 3)) (* -4/3 (pow (log x) 3))) n)) (* 2 (pow (log (+ 1 x)) 2))) (* 2 (pow (log x) 2))) n))) (* -2 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -2 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4/3 (pow (log (+ 1 x)) 3)) (* -1 (/ (- (* 2/3 (pow (log (+ 1 x)) 4)) (* 2/3 (pow (log x) 4))) n))) (* -4/3 (pow (log x) 3))) n)) (* 2 (pow (log (+ 1 x)) 2))) (* 2 (pow (log x) 2))) n))) (* -2 (log x))) n))>
#<alt 1>
#<alt (+ 1 (* 2 (/ x n)))>
#<alt (+ 1 (* x (+ (* x (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* x (+ (* x (- (+ (* 2 (/ 1 (pow n 2))) (* x (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2)))))) (/ 1 n))) (* 2 (/ 1 n)))))>
#<alt (exp (* -2 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -2 (/ (log (/ 1 x)) n))) (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))))>
#<alt (+ (exp (* -2 (/ (log (/ 1 x)) n))) (+ (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))) (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (pow x 2))))>
#<alt (+ (exp (* -2 (/ (log (/ 1 x)) n))) (+ (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))) (+ (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (pow x 2)) (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2))))) (pow x 3)))))>
#<alt (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* 2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x))))>
#<alt (+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) x))) x)))>
#<alt (+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))))) x)) (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n)))) x))) x)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 2 (/ (log (+ 1 x)) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2)))))>
#<alt (+ 1 (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2))))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -1 (/ (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) n)) (* 2 (pow (log (+ 1 x)) 2))) n))) n)))>
Calls

138 calls:

TimeVariablePointExpression
24.0ms
x
@0
(/ (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ 1 (pow x (/ -1 n)))) x)
13.0ms
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))) (* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)))) n)) n)) (- 0 n))
10.0ms
n
@inf
(/ (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ 1 (pow x (/ -1 n)))) x)
8.0ms
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))) (* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)))) n)) n)) (- 0 n))
3.0ms
x
@inf
(* (/ 1 (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (- (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))))

rewrite299.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
3114×*-lowering-*.f32
3114×*-lowering-*.f64
2580×/-lowering-/.f32
2580×/-lowering-/.f64
1512×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065368
1524325
25840325
08399325
Stop Event
1×iter limit
1×node limit
Counts
27 → 532
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))) (* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)))) 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))) (* (/ 1/24 n) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)))) n)) n))
(- (log x) (log (+ 1 x)))
(log x)
(- 1 (pow x (/ 1 n)))
(pow x (/ 1 n))
(/ 1 n)
(* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(- (+ 1 (* 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)))))
(* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ 1 (pow x (/ -1 n))))
(/ (+ (/ (/ 1 (pow x (/ -1 n))) n) (/ (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ 1 (pow x (/ -1 n)))) x)) x)
(+ (/ (/ 1 (pow x (/ -1 n))) n) (/ (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ 1 (pow x (/ -1 n)))) x))
(/ (/ 1 (pow x (/ -1 n))) n)
(* (/ 1 (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) (- (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n))))
(/ 1 (+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))
(+ (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(pow (log x) 4)
(pow (log x) 3)
(pow (log x) 2)
(* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
(/ 1/2 (* n n))
(/ (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ 1 (pow x (/ -1 n)))) x)
(- (pow (+ x 1) (/ 2 n)) (pow x (/ 2 n)))
(pow (+ x 1) (/ 2 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
(-.f64 (/.f64 (*.f64 (log.f64 x) #s(literal -1 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)) (-.f64 #s(literal 0 binary64) 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) (-.f64 #s(literal 0 binary64) (*.f64 n n))))
(fma.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
(fma.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 x) (neg.f64 (/.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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)) (-.f64 #s(literal 0 binary64) n))))
(fma.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n) (neg.f64 (/.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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)) (-.f64 #s(literal 0 binary64) 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)) n))
(neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n))) #s(literal 1 binary64)))
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(*.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 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) n)))))
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(exp.f64 (/.f64 (log1p.f64 x) (/.f64 n #s(literal 2 binary64))))
(exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log1p.f64 x) 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 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 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 1 binary64) n))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))
(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 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))))
(*.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))))

simplify439.0ms (1%)

Algorithm
1×egg-herbie
Rules
4406×*-lowering-*.f32
4406×*-lowering-*.f64
4298×+-lowering-+.f64
4298×+-lowering-+.f32
2762×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0215218983
1763018026
0832318026
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
Calls
Call 1
Inputs
(* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/24 (/ (pow (log x) 4) (pow n 3))))) n))
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/24 (/ (pow (log x) 4) (pow n 3))))) n)) (/ x n))
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/24 (/ (pow (log x) 4) (pow n 3))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/24 (/ (pow (log x) 4) (pow n 3))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))
(* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* -1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))))) (* n x)))
(/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* -1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (+ (* 1/24 (/ (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 4 (/ (pow (log (/ 1 x)) 2) (pow n 3)))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x))) x)
(/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) n)) (+ (* 1/24 (/ (+ (* -4 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 2 (/ (* (pow (log (/ 1 x)) 2) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 3)))) n)) (+ (* 1/3 (/ 1 n)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n))))) (pow x 2))) (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* -1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (+ (* 1/24 (/ (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 4 (/ (pow (log (/ 1 x)) 2) (pow n 3)))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)))) x)
(/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) n)) (+ (* 1/24 (/ (+ (* -4 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 2 (/ (* (pow (log (/ 1 x)) 2) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 3)))) n)) (+ (* 1/3 (/ 1 n)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n))))) (pow x 2))) (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* -1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))))) n)) (+ (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (+ (* 1/24 (/ (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 4 (/ (pow (log (/ 1 x)) 2) (pow n 3)))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (* -1 (/ (- (+ (* -1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/4 (/ 1 n))) (+ (* 1/24 (/ (+ (* -4 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 3))) (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 3))) (/ (pow (+ 1 (log (/ 1 x))) 2) (pow n 3)))) n)) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n)))) (pow x 3)))))) x)
(/ (- (+ 1 (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2)))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 3))))) (* n x))
(* -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)))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 3))))) 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 x))) (/ 1/2 (* n x)))) (+ (* 1/24 (/ (+ (* 2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (pow n 3))) (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 3)))) (* n x))) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) (* n x))))) x))
(* -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)))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 3))))) n)) (* -1 (/ (- (+ (* -1 (- (+ (* -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))) (+ (* 1/24 (/ (+ (* 2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (pow n 3))) (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 3)))) n)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) 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 x))) (/ 1/3 (* n x)))) (+ (* 1/24 (/ (+ (* -4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 3))) (* 2 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (pow n 3)))) (* n x))) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) (* n x))))) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- (+ (* -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))) (+ (* 1/24 (/ (+ (* 2 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (pow n 3))) (* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 3)))) n)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))))) (* -1 (/ (- (+ (* -1 (- (+ (* -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)) (* 1/3 (/ 1 n))) (+ (* 1/24 (/ (+ (* -4 (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 3))) (* 2 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (pow n 3)))) n)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))))) (+ (* -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))) (/ 1/4 (* n x)))) (+ (* 1/24 (/ (+ (* -4 (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 3))) (+ (* 2 (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (pow n 3))) (/ (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) 2) (pow n 3)))) (* n x))) (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (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)))) (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 3))))) n))) x))
(* 1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow n 4)))
(/ (+ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) (* 1/6 (* n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))))) (pow n 4))
(/ (+ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) (* n (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))))) (pow n 4))
(/ (+ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) (* n (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))))) (pow n 4))
(* -1 (/ (- (log x) (log (+ 1 x))) n))
(/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)
(/ (+ (* -1 (- (log x) (log (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)
(/ (+ (* -1 (- (log x) (log (+ 1 x)))) (+ (* 1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow n 3))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))))) n)
(* -1 (/ (- (log x) (log (+ 1 x))) n))
(* -1 (/ (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x))) n))
(* -1 (/ (- (+ (log x) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x))) n))
(* -1 (/ (- (+ (log x) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x))) n))
(- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/24 (/ (pow (log x) 4) (pow n 3)))))
(- (+ (log x) (+ (* -1 x) (* 1/6 (/ (pow (log x) 3) (pow n 2))))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/24 (/ (pow (log x) 4) (pow n 3)))))
(- (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/24 (/ (pow (log x) 4) (pow n 3)))))
(- (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1)))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/24 (/ (pow (log x) 4) (pow n 3)))))
(/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* -1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))))) x)
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(* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (+ (* 2/3 (/ 1 (pow n 4))) (* 11/6 (/ 1 (pow n 2)))) (+ (* 1/2 (/ 1 n)) (* 2 (/ 1 (pow n 3)))))) x)) (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3))))))) x)) (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n)))) x))) x))
(- (exp (* 2 (/ (log (+ 1 x)) n))) (exp (* 2 (/ (log x) n))))
(- (exp (* 2 (/ (log (+ 1 x)) n))) (exp (* 2 (/ (log x) n))))
(- (exp (* 2 (/ (log (+ 1 x)) n))) (exp (* 2 (/ (log x) n))))
(- (exp (* 2 (/ (log (+ 1 x)) n))) (exp (* 2 (/ (log x) n))))
(/ (- (* 2 (log (+ 1 x))) (* 2 (log x))) n)
(/ (- (+ (* 2 (log (+ 1 x))) (* 2 (/ (pow (log (+ 1 x)) 2) n))) (+ (* 2 (log x)) (* 2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (+ (* 2 (log (+ 1 x))) (* 2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (* 4/3 (/ (pow (log x) 3) (pow n 2))) (+ (* 2 (log x)) (* 2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (* 2/3 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (+ (* 2 (log (+ 1 x))) (* 2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (* 2/3 (/ (pow (log x) 4) (pow n 3))) (+ (* 4/3 (/ (pow (log x) 3) (pow n 2))) (+ (* 2 (log x)) (* 2 (/ (pow (log x) 2) n)))))) n)
(* -1 (/ (- (* -2 (log (+ 1 x))) (* -2 (log x))) n))
(* -1 (/ (- (+ (* -2 (log (+ 1 x))) (* -1 (/ (- (* 2 (pow (log (+ 1 x)) 2)) (* 2 (pow (log x) 2))) n))) (* -2 (log x))) n))
(* -1 (/ (- (+ (* -2 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -4/3 (pow (log (+ 1 x)) 3)) (* -4/3 (pow (log x) 3))) n)) (* 2 (pow (log (+ 1 x)) 2))) (* 2 (pow (log x) 2))) n))) (* -2 (log x))) n))
(* -1 (/ (- (+ (* -2 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4/3 (pow (log (+ 1 x)) 3)) (* -1 (/ (- (* 2/3 (pow (log (+ 1 x)) 4)) (* 2/3 (pow (log x) 4))) n))) (* -4/3 (pow (log x) 3))) n)) (* 2 (pow (log (+ 1 x)) 2))) (* 2 (pow (log x) 2))) n))) (* -2 (log x))) n))
1
(+ 1 (* 2 (/ x n)))
(+ 1 (* x (+ (* x (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (* 2 (/ 1 n)))))
(+ 1 (* x (+ (* x (- (+ (* 2 (/ 1 (pow n 2))) (* x (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2)))))) (/ 1 n))) (* 2 (/ 1 n)))))
(exp (* -2 (/ (log (/ 1 x)) n)))
(+ (exp (* -2 (/ (log (/ 1 x)) n))) (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))))
(+ (exp (* -2 (/ (log (/ 1 x)) n))) (+ (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))) (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (pow x 2))))
(+ (exp (* -2 (/ (log (/ 1 x)) n))) (+ (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))) (+ (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (pow x 2)) (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* 2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x))))
(+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) x))) x)))
(+ (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)))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp (* 2 (/ (log (+ 1 x)) n)))
1
(+ 1 (* 2 (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 2 (/ (log (+ 1 x)) n)) (* 2 (/ (pow (log (+ 1 x)) 2) (pow n 2)))))
(+ 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))))))
1
(+ 1 (* 2 (/ (log (+ 1 x)) n)))
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -2 (/ (pow (log (+ 1 x)) 2) 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)))
Outputs
(* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/24 (/ (pow (log x) 4) (pow n 3))))) n))
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(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/24 (/ (pow (log x) 4) (pow n 3))))) n)) (/ x n))
(+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 n (*.f64 n n))))) n)) (/.f64 x n))
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(* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* -1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))))) (* n x)))
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(/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* -1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (+ (* 1/24 (/ (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 4 (/ (pow (log (/ 1 x)) 2) (pow n 3)))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x))) x)
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(/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) n)) (+ (* 1/24 (/ (+ (* -4 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 2 (/ (* (pow (log (/ 1 x)) 2) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 3)))) n)) (+ (* 1/3 (/ 1 n)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n))))) (pow x 2))) (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* -1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (+ (* 1/24 (/ (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 1 (log (/ 1 x)))) (pow n 3))) (* 4 (/ (pow (log (/ 1 x)) 2) (pow n 3)))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)))) x)
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(+ (exp (* -2 (/ (log (/ 1 x)) n))) (+ (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))) (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (pow x 2))))
(+.f64 (exp.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -2 binary64)) n)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -2 binary64)) n)) (*.f64 x n))) (/.f64 (*.f64 (exp.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -2 binary64)) n)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n))) (*.f64 x x))))
(+ (exp (* -2 (/ (log (/ 1 x)) n))) (+ (* 2 (/ (exp (* -2 (/ (log (/ 1 x)) n))) (* n x))) (+ (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (pow x 2)) (/ (* (exp (* -2 (/ (log (/ 1 x)) n))) (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2))))) (pow x 3)))))
(+.f64 (exp.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -2 binary64)) n)) (+.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -2 binary64)) n)) (*.f64 x n))) (/.f64 (*.f64 (exp.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -2 binary64)) n)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) n))) (*.f64 x x))) (/.f64 (*.f64 (exp.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -2 binary64)) n)) (+.f64 (/.f64 #s(literal 2/3 binary64) n) (-.f64 (/.f64 #s(literal 4/3 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 2 binary64) (*.f64 n n))))) (*.f64 x (*.f64 x x)))))
(exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) 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))
(+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* 2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n 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)) (/.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))) (*.f64 x n)))
(+ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -2 (/ (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (* (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) x))) x)))
(+.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 (/.f64 #s(literal 2 binary64) (*.f64 n n)) (/.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 #s(literal 2 binary64) (/.f64 (log1p.f64 x) n)))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 x) n)))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 x) n)))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log1p.f64 x) n)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (log (+ 1 x)) n)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (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 #s(literal 2 binary64) (/.f64 (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)))

eval176.0ms (0.4%)

Compiler

Compiled 64763 to 5043 computations (92.2% saved)

prune191.0ms (0.4%)

Pruning

49 alts after pruning (48 fresh and 1 done)

PrunedKeptTotal
New1325411366
Fresh6713
Picked415
Done000
Total1335491384
Accuracy
100.0%
Counts
1384 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.6%
(/.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 0 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n))) (-.f64 #s(literal 0 binary64) n))
55.4%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (exp.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))) x)
31.2%
(/.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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n) #s(literal 3 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n))))) (-.f64 #s(literal 0 binary64) n))
27.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
54.8%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
24.8%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
42.6%
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) 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))
38.6%
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
33.9%
(/.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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n))) (*.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) n)))
▶31.7%
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
57.9%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
25.1%
(/.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))))
25.1%
(/.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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
39.2%
(/.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)
27.0%
(/.f64 (+.f64 (/.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)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
30.2%
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n 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)
7.2%
(/.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))
49.7%
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)) n)
31.1%
(/.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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)))))
33.2%
(/.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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n) #s(literal 2 binary64))) (/.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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)))
10.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
26.5%
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 x n))
31.9%
(/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)
27.7%
(/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -2 binary64)) n)) (*.f64 (*.f64 x n) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)))))
49.6%
(/.f64 #s(literal 1 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n))))
54.8%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (exp.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))))
17.3%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
32.8%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
25.5%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) n)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
16.3%
(-.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)))
10.5%
(-.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 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
17.4%
(-.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 (*.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)))
30.5%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶60.1%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓40.3%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶28.3%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
33.3%
(+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 n (*.f64 n n))))) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1/3 binary64) n))) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))))))))
20.6%
(*.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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n n))
34.2%
(*.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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
44.9%
(*.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 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log1p.f64 x) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
24.8%
(*.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 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))))
▶32.4%
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x))))
▶49.6%
(*.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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)))
25.1%
(*.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)))))
28.7%
(*.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 x))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (*.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 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))))) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))) (*.f64 n n)) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n) (/.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 n 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))))
7.0%
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
7.4%
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
45.8%
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
41.1%
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x))) n))
Compiler

Compiled 3971 to 2020 computations (49.1% saved)

simplify167.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)))
✓cost-diff0
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
✓cost-diff0
(+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x))))
✓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
(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)))
Rules
2726×*-lowering-*.f32
2726×*-lowering-*.f64
2132×sum4-define
2004×sum5-define
1342×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061569
1139555
2304554
3786553
42063553
57002553
08765553
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (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
(- 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 x) (+ (/ (pow x (/ 1 n)) n) (/ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* (pow x (/ -1 n)) x))))
(/ 1 x)
1
x
(+ (/ (pow x (/ 1 n)) n) (/ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* (pow x (/ -1 n)) x)))
(/ (pow x (/ 1 n)) n)
(pow x (/ 1 n))
(/ 1 n)
n
(/ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* (pow x (/ -1 n)) x))
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(/ 1/2 (* n n))
1/2
(* n n)
(/ -1/2 n)
-1/2
(* (pow x (/ -1 n)) x)
(pow x (/ -1 n))
(/ -1 n)
-1
(* (/ -1 n) (- (log (/ x (+ x 1))) (/ (- (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (/ -1/24 n))) n)) n)))
(/ -1 n)
-1
n
(- (log (/ x (+ x 1))) (/ (- (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (/ -1/24 n))) n)) n))
(log (/ x (+ x 1)))
(/ x (+ x 1))
x
(+ x 1)
1
(/ (- (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (/ -1/24 n))) n)) n)
(- (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (/ -1/24 n))) 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)
(/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (/ -1/24 n))) n)
(+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (/ -1/24 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)
(log (+ 1 x))
3
(pow (log x) 3)
(log x)
(* (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (/ -1/24 n))
(- (pow (log (+ 1 x)) 4) (pow (log x) 4))
(pow (log (+ 1 x)) 4)
4
(pow (log x) 4)
(/ -1/24 n)
-1/24
Outputs
(- (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)
(- 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 x) (+ (/ (pow x (/ 1 n)) n) (/ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* (pow x (/ -1 n)) x))))
(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (+.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) (/.f64 #s(literal -1 binary64) n))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ (/ (pow x (/ 1 n)) n) (/ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* (pow x (/ -1 n)) x)))
(+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (+.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) (/.f64 #s(literal -1 binary64) n)))))
(/ (pow x (/ 1 n)) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(/ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* (pow x (/ -1 n)) x))
(/.f64 (+.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) (/.f64 #s(literal -1 binary64) n))))
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
(/ 1/2 (* n n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
1/2
#s(literal 1/2 binary64)
(* n n)
(*.f64 n n)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
-1/2
#s(literal -1/2 binary64)
(* (pow x (/ -1 n)) x)
(pow.f64 x (+.f64 #s(literal 1 binary64) (/.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
#s(literal -1 binary64)
(* (/ -1 n) (- (log (/ x (+ x 1))) (/ (- (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (/ -1/24 n))) 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)))) (/.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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1/24 binary64) n))) n)) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) 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)))) (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (/ -1/24 n))) n)) n))
(+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (/.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n) (*.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))
(log (/ x (+ x 1)))
(log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/ x (+ x 1))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
x
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(/ (- (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (/ -1/24 n))) n)) n)
(/.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)))) (/.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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1/24 binary64) n))) n)) n)
(- (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (/ -1/24 n))) 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 (+.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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1/24 binary64) n))) n))
(* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x))))
(*.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))))
1/2
#s(literal 1/2 binary64)
(* (log (* x (+ x 1))) (log (/ (+ x 1) x)))
(*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(log (* x (+ x 1)))
(log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(* x (+ x 1))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(log (/ (+ x 1) x))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
(/ (+ x 1) x)
(/.f64 (+.f64 #s(literal 1 binary64) x) x)
(/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (/ -1/24 n))) n)
(/.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)
(+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (/ -1/24 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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 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))
(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)
(* (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (/ -1/24 n))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))
(- (pow (log (+ 1 x)) 4) (pow (log x) 4))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))
(pow (log (+ 1 x)) 4)
(pow.f64 (log1p.f64 x) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(pow (log x) 4)
(pow.f64 (log.f64 x) #s(literal 4 binary64))
(/ -1/24 n)
(/.f64 #s(literal -1/24 binary64) n)
-1/24
#s(literal -1/24 binary64)

localize1.7s (3.9%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.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))))
✓accuracy99.6%
(*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
✓accuracy99.4%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
✓accuracy99.3%
(pow.f64 (log.f64 x) #s(literal 4 binary64))
✓accuracy99.9%
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x))))
✓accuracy99.4%
(+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x)))
✓accuracy99.4%
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
✓accuracy92.2%
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x))
✓accuracy100.0%
(log.f64 x)
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
✓accuracy100.0%
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))
✓accuracy99.8%
(/.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))
✓accuracy100.0%
(log1p.f64 x)
✓accuracy100.0%
(exp.f64 (/.f64 (log1p.f64 x) n))
✓accuracy100.0%
(/.f64 (log1p.f64 x) n)
✓accuracy72.7%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
1.3s140×5exit
138.0ms69×1valid
137.0ms46×2valid
1.0ms1×0valid
Compiler

Compiled 602 to 60 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-log: 390.0ms (33.2% of total)
ival-pow: 255.0ms (21.7% of total)
backward-pass: 142.0ms (12.1% of total)
ival-div: 108.0ms (9.2% of total)
ival-mult: 72.0ms (6.1% of total)
ival-exp: 55.0ms (4.7% of total)
...c/correct-round.rkt:119:19: 52.0ms (4.4% of total)
compiled-spec: 36.0ms (3.1% of total)
ival-sub: 34.0ms (2.9% of total)
ival-add: 29.0ms (2.5% of total)
const: 3.0ms (0.3% of total)

series69.0ms (0.2%)

Counts
24 → 396
Calls
Call 1
Inputs
#<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 (- 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 x) (+ (/ (pow x (/ 1 n)) n) (/ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* (pow x (/ -1 n)) x))))>
#<alt (/ 1 x)>
#<alt (+ (/ (pow x (/ 1 n)) n) (/ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* (pow x (/ -1 n)) x)))>
#<alt (/ (pow x (/ 1 n)) n)>
#<alt (* (/ -1 n) (- (log (/ x (+ x 1))) (/ (- (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (/ -1/24 n))) n)) n)))>
#<alt (/ -1 n)>
#<alt (- (log (/ x (+ x 1))) (/ (- (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (/ -1/24 n))) n)) n))>
#<alt (log (/ x (+ x 1)))>
#<alt (log x)>
#<alt (/ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* (pow x (/ -1 n)) x))>
#<alt (/ 1/2 (* n n))>
#<alt (pow (log x) 4)>
#<alt (pow (log x) 3)>
#<alt (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))>
#<alt (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))>
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 (/ x n)>
#<alt (* x (+ (* -1/2 (/ x n)) (/ 1 n)))>
#<alt (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x)))>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2))))>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2)))))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (+ (/ 1 (* n x)) (/ (log -1) n)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) (/ (log -1) n)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) (/ (log -1) n)))>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
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#<alt (/ (+ (* -1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) (* n (+ (* -1/2 (* n (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))))) (pow n 3))>
#<alt (/ (+ (* -1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) (* n (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (- (* n (log (/ x (+ 1 x)))) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))))))) (pow n 3))>
#<alt (log (/ x (+ 1 x)))>
#<alt (+ (log (/ x (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)))>
#<alt (- (+ (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)))>
#<alt (- (+ (log (/ x (+ 1 x))) (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow n 3)))) (+ (* 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))))>
#<alt (log (/ x (+ 1 x)))>
#<alt (+ (log (/ x (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)))>
#<alt (+ (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)))>
#<alt (+ (log (/ x (+ 1 x))) (* -1 (/ (- (* -1 (/ (- (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* -1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))) n)))>
#<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 (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (/ 1/2 (* (pow n 2) (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ (+ (* -1/2 (/ n (* x (exp (* -1 (/ (log x) n)))))) (* 1/2 (/ 1 (* x (exp (* -1 (/ (log x) n))))))) (pow n 2))>
#<alt (/ (+ (* -1/2 (/ n (* x (exp (* -1 (/ (log x) n)))))) (* 1/2 (/ 1 (* x (exp (* -1 (/ (log x) n))))))) (pow n 2))>
#<alt (/ (+ (* -1/2 (/ n (* x (exp (* -1 (/ (log x) n)))))) (* 1/2 (/ 1 (* x (exp (* -1 (/ (log x) n))))))) (pow n 2))>
#<alt (/ -1/2 (* n x))>
#<alt (/ (- (/ 1/2 (* n x)) (+ (* 1/2 (/ (log x) (* n x))) (* 1/2 (/ 1 x)))) n)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (log x) (- (* 1/2 (/ 1 x)) (* 1/2 (/ (log x) x))))) (* -1/4 (/ (pow (log x) 2) x))) (pow n 2))) (/ 1/2 (* n x))) (+ (* 1/2 (/ (log x) (* n x))) (* 1/2 (/ 1 x)))) n)>
#<alt (/ (- (+ (* -1 (/ (+ (* 1/12 (/ (pow (log x) 3) x)) (+ (* 1/2 (* (pow (log x) 2) (- (* 1/2 (/ 1 x)) (* 1/2 (/ (log x) x))))) (* (log x) (+ (* -1 (* (log x) (- (* 1/2 (/ 1 x)) (* 1/2 (/ (log x) x))))) (* -1/4 (/ (pow (log x) 2) x)))))) (pow n 3))) (/ 1/2 (* n x))) (+ (* -1 (/ (* (log x) (- (* 1/2 (/ 1 x)) (* 1/2 (/ (log x) x)))) (pow n 2))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* 1/2 (/ (log x) (* n x))) (* 1/2 (/ 1 x)))))) n)>
#<alt (/ -1/2 (* n x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 x)) (* 1/2 (/ (log x) x))) n)) (* 1/2 (/ 1 x))) n))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* 1/4 (/ (pow (log x) 2) (* n x))) (+ (* 1/2 (/ 1 x)) (/ (* (log x) (- (* 1/2 (/ 1 x)) (* 1/2 (/ (log x) x)))) n))) (* 1/2 (/ (log x) x))) n)) (* 1/2 (/ 1 x))) n))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (+ (* 1/4 (/ (pow (log x) 2) x)) (* (log x) (- (* 1/2 (/ 1 x)) (* 1/2 (/ (log x) x)))))) n)) (+ (* 1/12 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (* (pow (log x) 2) (- (* 1/2 (/ 1 x)) (* 1/2 (/ (log x) x)))) n)))) (+ (* 1/4 (/ (pow (log x) 2) x)) (* (log x) (- (* 1/2 (/ 1 x)) (* 1/2 (/ (log x) x)))))) n)) (* 1/2 (/ 1 x))) (* 1/2 (/ (log x) x))) n)) (* 1/2 (/ 1 x))) n))>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (* x (exp (* -1 (/ (log x) n)))))>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (* x (exp (* -1 (/ (log x) n)))))>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (* x (exp (* -1 (/ (log x) n)))))>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (* x (exp (* -1 (/ (log x) n)))))>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (* x (exp (/ (log (/ 1 x)) n))))>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (* x (exp (/ (log (/ 1 x)) n))))>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (* x (exp (/ (log (/ 1 x)) n))))>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (* x (exp (/ (log (/ 1 x)) n))))>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))>
#<alt (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (pow (log x) 4)>
#<alt (pow (log x) 4)>
#<alt (pow (log x) 4)>
#<alt (pow (log x) 4)>
#<alt (pow (log (/ 1 x)) 4)>
#<alt (pow (log (/ 1 x)) 4)>
#<alt (pow (log (/ 1 x)) 4)>
#<alt (pow (log (/ 1 x)) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 4)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (* -1 (pow (log x) 2))>
#<alt (+ (* -1 (pow (log x) 2)) (* x (+ (log x) (* -1 (log x)))))>
#<alt (+ (* -1 (pow (log x) 2)) (* x (+ (log x) (+ (* -1 (log x)) (* x (+ 1 (+ (* -1/2 (log x)) (* 1/2 (log x)))))))))>
#<alt (+ (* -1 (pow (log x) 2)) (* x (+ (log x) (+ (* -1 (log x)) (* x (+ 1 (+ (* -1/2 (log x)) (+ (* 1/2 (log x)) (* x (- (+ (* -1/3 (log x)) (* 1/3 (log x))) 1))))))))))>
#<alt (* -2 (/ (log (/ 1 x)) x))>
#<alt (/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x)>
#<alt (/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)>
#<alt (/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x)>
#<alt (* -2 (/ (log (/ -1 x)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 (log (/ -1 x))) x)) (* 2 (log (/ -1 x)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 (+ (log (/ -1 x)) (* -1 (/ (+ 1 (* 2/3 (log (/ -1 x)))) x)))) x)) (* 2 (log (/ -1 x)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 (+ (log (/ -1 x)) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* 1/2 (log (/ -1 x)))) x)) (* 2/3 (log (/ -1 x))))) x)))) x)) (* 2 (log (/ -1 x)))) x))>
#<alt (* 1/6 (pow (log x) 3))>
#<alt (+ (* -1/6 (pow x 3)) (* 1/6 (pow (log x) 3)))>
#<alt (+ (* 1/6 (pow (log x) 3)) (* (pow x 3) (- (* 1/4 x) 1/6)))>
#<alt (+ (* 1/6 (pow (log x) 3)) (* (pow x 3) (- (* x (+ 1/4 (* -7/24 x))) 1/6)))>
#<alt (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) x))>
#<alt (/ (+ (* -1/6 (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))) (* -1/6 (/ (+ (* -2 (log (/ 1 x))) (+ (* -1 (* (log (/ 1 x)) (+ 1 (log (/ 1 x))))) (* -1/2 (pow (log (/ 1 x)) 2)))) x))) x)>
#<alt (/ (+ (* -1/6 (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))) (+ (* -1/6 (/ (+ 1 (+ (* -1 (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1))) (+ (* 1/3 (pow (log (/ 1 x)) 2)) (* 2 (log (/ 1 x)))))) (pow x 2))) (* -1/6 (/ (+ (* -2 (log (/ 1 x))) (+ (* -1 (* (log (/ 1 x)) (+ 1 (log (/ 1 x))))) (* -1/2 (pow (log (/ 1 x)) 2)))) x)))) x)>
#<alt (/ (+ (* -1/6 (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))) (+ (* -1/6 (/ (+ 1 (+ (* -1 (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1))) (+ (* 1/3 (pow (log (/ 1 x)) 2)) (* 2 (log (/ 1 x)))))) (pow x 2))) (+ (* -1/6 (/ (+ (* -2 (log (/ 1 x))) (+ (* -1 (* (log (/ 1 x)) (+ 1 (log (/ 1 x))))) (* -1/2 (pow (log (/ 1 x)) 2)))) x)) (* -1/6 (/ (- (+ (* -4/3 (log (/ 1 x))) (+ (* -1 (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x)))))) (+ (* -1/2 (+ 1 (log (/ 1 x)))) (* -1/4 (pow (log (/ 1 x)) 2))))) 1) (pow x 3)))))) x)>
#<alt (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 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)))) (* 1/6 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) (* 1/6 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x))) x)) (* -1/6 (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))))) (* 1/6 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x))) x)) (* -1/6 (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (* -1/6 (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) x))>
Calls

99 calls:

TimeVariablePointExpression
12.0ms
n
@0
(/ (log (+ 1 x)) n)
12.0ms
n
@0
(/ (- (* x (+ 1 (* x -1/2))) (log x)) n)
4.0ms
n
@inf
(/ (log (+ 1 x)) n)
4.0ms
x
@-inf
(* (/ -1 n) (- (log (/ x (+ x 1))) (/ (- (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (/ -1/24 n))) n)) n)))
4.0ms
n
@inf
(/ (- (* x (+ 1 (* x -1/2))) (log x)) n)

rewrite283.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
4338×*-lowering-*.f32
4338×*-lowering-*.f64
2174×/-lowering-/.f32
2174×/-lowering-/.f64
1892×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061269
1401263
24355263
08521263
Stop Event
1×iter limit
1×node limit
Counts
24 → 473
Calls
Call 1
Inputs
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(exp (/ (log (+ 1 x)) n))
(/ (log (+ 1 x)) n)
(log (+ 1 x))
(- 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 x) (+ (/ (pow x (/ 1 n)) n) (/ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* (pow x (/ -1 n)) x))))
(/ 1 x)
(+ (/ (pow x (/ 1 n)) n) (/ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* (pow x (/ -1 n)) x)))
(/ (pow x (/ 1 n)) n)
(* (/ -1 n) (- (log (/ x (+ x 1))) (/ (- (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (/ -1/24 n))) n)) n)))
(/ -1 n)
(- (log (/ x (+ x 1))) (/ (- (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (/ -1/24 n))) n)) n))
(log (/ x (+ x 1)))
(log x)
(/ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* (pow x (/ -1 n)) x))
(/ 1/2 (* n n))
(pow (log x) 4)
(pow (log x) 3)
(* (log (* x (+ x 1))) (log (/ (+ x 1) x)))
(* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
Outputs
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (-.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 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
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(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n)))) (*.f64 (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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 (+.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 (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)))
(/.f64 (/.f64 (+.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))) x)
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))))
(/.f64 (*.f64 (+.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (*.f64 n #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 n (*.f64 n n)) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)))))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64)) (*.f64 (+.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))))) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.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)) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)))))
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(/.f64 (neg.f64 (/.f64 (+.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 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (*.f64 n #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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 (*.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 #s(literal 1 binary64) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(pow.f64 (/.f64 (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (+.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)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.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) (/.f64 #s(literal -1 binary64) n)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.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 (/.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) (/.f64 #s(literal -1 binary64) n)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.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 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (pow.f64 (/.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))) (+.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 n (*.f64 n #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))))
(*.f64 (pow.f64 (/.f64 (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.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 (pow.f64 (/.f64 (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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) n) #s(literal -1/2 binary64)) n))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n)))
(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 #s(literal 0 binary64) (*.f64 n 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 (/.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 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 n n))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 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 #s(literal 4 binary64) (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log.f64 x)))) #s(literal 4 binary64)))
(pow.f64 (log.f64 x) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 x))) #s(literal 4 binary64))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log.f64 x)))) #s(literal 3 binary64)))
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 x))) #s(literal 3 binary64))
(*.f64 (log.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 x))
(*.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (pow.f64 (log.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 x)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log1p.f64 x)))
(+.f64 (*.f64 (log.f64 x) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (log1p.f64 x) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(+.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64)))
(/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64)))) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) #s(literal -1/6 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal -1/6 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(*.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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))
(*.f64 (+.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal -1/6 binary64)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))

simplify312.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
4040×*-lowering-*.f32
4040×*-lowering-*.f64
3948×+-lowering-+.f64
3948×+-lowering-+.f32
2064×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0149111507
1515610269
0823110269
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
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)
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eval121.0ms (0.3%)

Compiler

Compiled 47274 to 4280 computations (90.9% saved)

prune155.0ms (0.4%)

Pruning

50 alts after pruning (48 fresh and 2 done)

PrunedKeptTotal
New984181002
Fresh133043
Picked415
Done011
Total1001501051
Accuracy
100.0%
Counts
1051 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.4%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (exp.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))) x)
31.2%
(/.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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n) #s(literal 3 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n))))) (-.f64 #s(literal 0 binary64) n))
27.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
54.8%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
24.8%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
42.6%
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) 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))
38.6%
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
31.5%
(/.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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))))
31.8%
(/.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))
✓31.7%
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
32.0%
(/.f64 (-.f64 x (log.f64 x)) n)
25.1%
(/.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))))
25.1%
(/.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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
26.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
39.2%
(/.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)
27.0%
(/.f64 (+.f64 (/.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)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
30.2%
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n 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)
7.2%
(/.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))
31.4%
(/.f64 (*.f64 (-.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))) (/.f64 #s(literal 1 binary64) n)) (+.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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))))
▶31.3%
(/.f64 (*.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 #s(literal 1 binary64) n)) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
3.8%
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
10.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
▶54.8%
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
31.7%
(/.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))))
54.8%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (exp.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))))
▶17.3%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
32.8%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
25.5%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) n)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
16.3%
(-.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)))
10.5%
(-.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 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
17.4%
(-.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 (*.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)))
30.5%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
52.5%
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓40.3%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
31.2%
(*.f64 (pow.f64 (/.f64 n (-.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)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))))
34.2%
(*.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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
44.9%
(*.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 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log1p.f64 x) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
24.8%
(*.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 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))))
26.9%
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
39.4%
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))
▶57.6%
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
25.1%
(*.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)))))
28.7%
(*.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 x))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (*.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 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))))) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))) (*.f64 n n)) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n) (/.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 n 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))))
8.0%
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n)))
7.0%
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
7.4%
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
25.4%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (*.f64 n (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))))
45.8%
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
41.1%
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x))) n))
▶28.3%
#s(literal 0 binary64)
Compiler

Compiled 2955 to 1536 computations (48% saved)

simplify129.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.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)))))
✓cost-diff0
(-.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)))
✓cost-diff128
(*.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 #s(literal 1 binary64) n))
✓cost-diff14016
(/.f64 (*.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 #s(literal 1 binary64) n)) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
✓cost-diff0
(log.f64 x)
✓cost-diff0
(/.f64 (log.f64 x) n)
✓cost-diff0
(exp.f64 (/.f64 (log.f64 x) n))
✓cost-diff0
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 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-diff0
(/.f64 x (+.f64 #s(literal 1 binary64) x))
✓cost-diff0
(log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(/.f64 #s(literal -1 binary64) n)
✓cost-diff0
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
Rules
2334×sum3-define
2262×*-lowering-*.f32
2262×*-lowering-*.f64
1346×fma-lowering-fma.f32
1346×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030179
170164
2188159
3651148
42910148
56566148
08031148
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ -1 n) (log (/ x (+ 1 x))))
(/ -1 n)
-1
n
(log (/ x (+ 1 x)))
(/ x (+ 1 x))
x
(+ 1 x)
1
0
(- (pow (+ x 1) (/ 1 n)) 1)
(pow (+ x 1) (/ 1 n))
(+ x 1)
x
1
(/ 1 n)
n
(/ (exp (/ (log x) n)) (* x n))
(exp (/ (log x) n))
(/ (log x) n)
(log x)
x
n
(* x n)
(/ (* (- (* (* x (+ 1 (* x -1/2))) (* x (+ 1 (* x -1/2)))) (pow (log x) 2)) (/ 1 n)) (+ (* x (+ 1 (* x -1/2))) (log x)))
(* (- (* (* x (+ 1 (* x -1/2))) (* x (+ 1 (* x -1/2)))) (pow (log x) 2)) (/ 1 n))
(- (* (* x (+ 1 (* x -1/2))) (* x (+ 1 (* x -1/2)))) (pow (log x) 2))
(* (* x (+ 1 (* x -1/2))) (* x (+ 1 (* x -1/2))))
(* x (+ 1 (* x -1/2)))
x
(+ 1 (* x -1/2))
1
(* x -1/2)
-1/2
(pow (log x) 2)
(log x)
2
(/ 1 n)
n
(+ (* x (+ 1 (* x -1/2))) (log x))
Outputs
(* (/ -1 n) (log (/ x (+ 1 x))))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(/ -1 n)
(/.f64 #s(literal -1 binary64) n)
-1
#s(literal -1 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)
0
#s(literal 0 binary64)
(- (pow (+ x 1) (/ 1 n)) 1)
(+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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
(/ (exp (/ (log x) n)) (* x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(exp (/ (log x) n))
(exp.f64 (/.f64 (log.f64 x) n))
(/ (log x) n)
(/.f64 (log.f64 x) n)
(log x)
(log.f64 x)
x
n
(* x n)
(*.f64 n x)
(/ (* (- (* (* x (+ 1 (* x -1/2))) (* x (+ 1 (* x -1/2)))) (pow (log x) 2)) (/ 1 n)) (+ (* x (+ 1 (* x -1/2))) (log x)))
(/.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))) (* x (+ 1 (* x -1/2)))) (pow (log x) 2)) (/ 1 n))
(/.f64 (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
(- (* (* x (+ 1 (* x -1/2))) (* x (+ 1 (* x -1/2)))) (pow (log x) 2))
(-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(* (* x (+ 1 (* x -1/2))) (* x (+ 1 (* x -1/2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(* 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)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log x)
(log.f64 x)
2
#s(literal 2 binary64)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(+ (* x (+ 1 (* x -1/2))) (log x))
(+.f64 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))

localize301.0ms (0.7%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.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)))))
✓accuracy99.1%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓accuracy95.3%
(*.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 #s(literal 1 binary64) n))
✓accuracy77.0%
(/.f64 (*.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 #s(literal 1 binary64) n)) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
✓accuracy100.0%
(log.f64 x)
✓accuracy100.0%
(exp.f64 (/.f64 (log.f64 x) n))
✓accuracy99.5%
(/.f64 (log.f64 x) n)
✓accuracy92.0%
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy86.1%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy43.1%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(/.f64 x (+.f64 #s(literal 1 binary64) x))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
✓accuracy64.3%
(log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))
Results
253.0ms249×1valid
3.0ms7×0valid
Compiler

Compiled 218 to 31 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
ival-pow: 51.0ms (34.6% of total)
ival-div: 22.0ms (14.9% of total)
backward-pass: 19.0ms (12.9% of total)
ival-log: 19.0ms (12.9% of total)
ival-mult: 18.0ms (12.2% of total)
ival-add: 10.0ms (6.8% of total)
ival-sub: 5.0ms (3.4% of total)
ival-exp: 3.0ms (2% of total)
const: 1.0ms (0.7% of total)

series82.0ms (0.2%)

Counts
18 → 312
Calls
Call 1
Inputs
#<alt (* (/ -1 n) (log (/ x (+ 1 x))))>
#<alt (/ -1 n)>
#<alt (log (/ x (+ 1 x)))>
#<alt (/ x (+ 1 x))>
#<alt (- (pow (+ x 1) (/ 1 n)) 1)>
#<alt (pow (+ x 1) (/ 1 n))>
#<alt (+ x 1)>
#<alt (/ 1 n)>
#<alt (/ (exp (/ (log x) n)) (* x n))>
#<alt (exp (/ (log x) n))>
#<alt (/ (log x) n)>
#<alt (log x)>
#<alt (/ (* (- (* (* x (+ 1 (* x -1/2))) (* x (+ 1 (* x -1/2)))) (pow (log x) 2)) (/ 1 n)) (+ (* x (+ 1 (* x -1/2))) (log x)))>
#<alt (* (- (* (* x (+ 1 (* x -1/2))) (* x (+ 1 (* x -1/2)))) (pow (log x) 2)) (/ 1 n))>
#<alt (- (* (* x (+ 1 (* x -1/2))) (* x (+ 1 (* x -1/2)))) (pow (log x) 2))>
#<alt (* (* x (+ 1 (* x -1/2))) (* x (+ 1 (* x -1/2))))>
#<alt (+ 1 x)>
#<alt (pow (log x) 2)>
Outputs
#<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 (* -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 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)>
#<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 (/ 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 (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ 1 (* n x))>
#<alt (/ (+ (/ 1 x) (/ (log x) (* n x))) n)>
#<alt (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)>
#<alt (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (* -1 (/ (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 (+ (* -1/2 (/ x n)) (/ 1 n))))>
#<alt (* -1/2 (/ (pow x 2) n))>
#<alt (* (pow x 2) (- (/ 1 (* n x)) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (/ 1 (* n x)) (+ (* -1 (/ (log (/ 1 x)) (* n (pow x 2)))) (* 1/2 (/ 1 n)))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (+ (* -2 (- (* 2 (/ 1 n)) (+ (* -1 (/ (log (/ 1 x)) n)) (* 2 (/ 1 n))))) (* 2 (/ (log (/ 1 x)) n))) (pow x 3))) (/ 1 (* n x))) (+ (* -1 (/ (log (/ 1 x)) (* n (pow x 2)))) (* 1/2 (/ 1 n)))))>
#<alt (* -1/2 (/ (pow x 2) n))>
#<alt (* (pow x 2) (- (/ 1 (* n x)) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 n)) (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* 2 (/ 1 n)) (/ (log -1) n)))) x)) (/ 1 n)) x)) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n x))) (* 2 (/ (- (* 2 (/ 1 n)) (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* 2 (/ 1 n)) (/ (log -1) n)))) x))) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) x)) (/ 1 n)) x)) (* 1/2 (/ 1 n))))>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) (* n (+ (log x) (* x (+ 1 (* -1/2 x))))))>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) (* n (+ (log x) (* x (+ 1 (* -1/2 x))))))>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) (* n (+ (log x) (* x (+ 1 (* -1/2 x))))))>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) (* n (+ (log x) (* x (+ 1 (* -1/2 x))))))>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) (* n (+ (log x) (* x (+ 1 (* -1/2 x))))))>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) (* n (+ (log x) (* x (+ 1 (* -1/2 x))))))>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) (* n (+ (log x) (* x (+ 1 (* -1/2 x))))))>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) (* n (+ (log x) (* x (+ 1 (* -1/2 x))))))>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) (* n (+ (log x) (* x (+ 1 (* -1/2 x))))))>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) (* n (+ (log x) (* x (+ 1 (* -1/2 x))))))>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) (* n (+ (log x) (* x (+ 1 (* -1/2 x))))))>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) (* n (+ (log x) (* x (+ 1 (* -1/2 x))))))>
#<alt (* -1 (/ (pow (log x) 2) n))>
#<alt (+ (* -1 (/ (pow (log x) 2) n)) (/ (pow x 2) n))>
#<alt (+ (* -1 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* -1 (/ x n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 1/4 (/ x n)) (/ 1 n))) (/ 1 n))))>
#<alt (* 1/4 (/ (pow x 4) n))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 n)) (/ 1 (* n x))))>
#<alt (* (pow x 4) (- (+ (* 1/4 (/ 1 n)) (/ 1 (* n (pow x 2)))) (/ 1 (* n x))))>
#<alt (* (pow x 4) (- (+ (* -1 (/ (pow (log (/ 1 x)) 2) (* n (pow x 4)))) (+ (* 1/4 (/ 1 n)) (/ 1 (* n (pow x 2))))) (/ 1 (* n x))))>
#<alt (* 1/4 (/ (pow x 4) n))>
#<alt (* (pow x 4) (- (* 1/4 (/ 1 n)) (/ 1 (* n x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (- (/ 1 n) (/ 1 (* n x))) x)) (* 1/4 (/ 1 n))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (* n (pow x 2)))) (/ 1 n)) x)) (/ 1 n)) x)) (* 1/4 (/ 1 n))))>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)>
#<alt (/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)>
#<alt (* -1 (pow (log x) 2))>
#<alt (- (pow x 2) (pow (log x) 2))>
#<alt (- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))>
#<alt (- (* (pow x 2) (+ 1 (* x (- (* 1/4 x) 1)))) (pow (log x) 2))>
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (- 1/4 (/ 1 x)))>
#<alt (* (pow x 4) (- (+ 1/4 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 4) (- (+ 1/4 (+ (* -1 (/ (pow (log (/ 1 x)) 2) (pow x 4))) (/ 1 (pow x 2)))) (/ 1 x)))>
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (- 1/4 (/ 1 x)))>
#<alt (* (pow x 4) (+ 1/4 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* (pow x 4) (+ 1/4 (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow x 2)))) x))) x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 x)))>
#<alt (* (pow x 2) (+ 1 (* x (- (* 1/4 x) 1))))>
#<alt (* (pow x 2) (+ 1 (* x (- (* 1/4 x) 1))))>
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (- 1/4 (/ 1 x)))>
#<alt (* (pow x 4) (- (+ 1/4 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 4) (- (+ 1/4 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* 1/4 (pow x 4))>
#<alt (* (pow x 4) (- 1/4 (/ 1 x)))>
#<alt (* (pow x 4) (+ 1/4 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* (pow x 4) (+ 1/4 (* -1 (/ (- 1 (/ 1 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 (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

78 calls:

TimeVariablePointExpression
40.0ms
n
@inf
(* (/ -1 n) (log (/ x (+ 1 x))))
14.0ms
n
@0
(* (/ -1 n) (log (/ x (+ 1 x))))
10.0ms
x
@-inf
(/ (exp (/ (log x) n)) (* x n))
3.0ms
x
@inf
(/ (exp (/ (log x) n)) (* x n))
2.0ms
n
@0
(/ (* (- (* (* x (+ 1 (* x -1/2))) (* x (+ 1 (* x -1/2)))) (pow (log x) 2)) (/ 1 n)) (+ (* x (+ 1 (* x -1/2))) (log x)))

rewrite269.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
3604×/-lowering-/.f32
3604×/-lowering-/.f64
2896×*-lowering-*.f32
2896×*-lowering-*.f64
1810×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029131
1184102
2155698
0819798
Stop Event
1×iter limit
1×node limit
Counts
18 → 607
Calls
Call 1
Inputs
(* (/ -1 n) (log (/ x (+ 1 x))))
(/ -1 n)
(log (/ x (+ 1 x)))
(/ x (+ 1 x))
(- (pow (+ x 1) (/ 1 n)) 1)
(pow (+ x 1) (/ 1 n))
(+ x 1)
(/ 1 n)
(/ (exp (/ (log x) n)) (* x n))
(exp (/ (log x) n))
(/ (log x) n)
(log x)
(/ (* (- (* (* x (+ 1 (* x -1/2))) (* x (+ 1 (* x -1/2)))) (pow (log x) 2)) (/ 1 n)) (+ (* x (+ 1 (* x -1/2))) (log x)))
(* (- (* (* x (+ 1 (* x -1/2))) (* x (+ 1 (* x -1/2)))) (pow (log x) 2)) (/ 1 n))
(- (* (* x (+ 1 (* x -1/2))) (* x (+ 1 (* x -1/2)))) (pow (log x) 2))
(* (* x (+ 1 (* x -1/2))) (* x (+ 1 (* x -1/2))))
(+ 1 x)
(pow (log x) 2)
Outputs
(-.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) (/.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) n)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) n)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))
(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) n)) (/.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(/.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))
(*.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 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) #s(literal -1 binary64))
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) n)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal -1 binary64) n)
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) n))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) n))))
(pow.f64 (-.f64 #s(literal 0 binary64) n) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))
(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 0 binary64) (+.f64 x #s(literal 1 binary64))))))
(+.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))))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (/.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 x) (log1p.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))))
(-.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 (log.f64 x) (log1p.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 (log.f64 x) (log1p.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(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)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.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 (log.f64 x) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.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 (log.f64 x) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) (*.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))))))
(*.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 0 binary64) (+.f64 x #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) x))
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(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64)))
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(*.f64 (log.f64 x) (log.f64 x))

simplify259.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
3642×*-lowering-*.f32
3642×*-lowering-*.f64
3060×+-lowering-+.f64
3060×+-lowering-+.f32
1732×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05063733
115963273
247013204
086203204
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
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(* (pow x 4) (- (* 1/4 (/ 1 n)) (/ 1 (* n x))))
(* (pow x 4) (+ (* -1 (/ (- (/ 1 n) (/ 1 (* n x))) x)) (* 1/4 (/ 1 n))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (* n (pow x 2)))) (/ 1 n)) x)) (/ 1 n)) x)) (* 1/4 (/ 1 n))))
(/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)
(/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)
(/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)
(/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)
(/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)
(/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)
(/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)
(/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)
(/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)
(/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)
(/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)
(/ (- (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow (log x) 2)) n)
(* -1 (pow (log x) 2))
(- (pow x 2) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* x (- (* 1/4 x) 1)))) (pow (log x) 2))
(* 1/4 (pow x 4))
(* (pow x 4) (- 1/4 (/ 1 x)))
(* (pow x 4) (- (+ 1/4 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 4) (- (+ 1/4 (+ (* -1 (/ (pow (log (/ 1 x)) 2) (pow x 4))) (/ 1 (pow x 2)))) (/ 1 x)))
(* 1/4 (pow x 4))
(* (pow x 4) (- 1/4 (/ 1 x)))
(* (pow x 4) (+ 1/4 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 4) (+ 1/4 (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow x 2)))) x))) x))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 x)))
(* (pow x 2) (+ 1 (* x (- (* 1/4 x) 1))))
(* (pow x 2) (+ 1 (* x (- (* 1/4 x) 1))))
(* 1/4 (pow x 4))
(* (pow x 4) (- 1/4 (/ 1 x)))
(* (pow x 4) (- (+ 1/4 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 4) (- (+ 1/4 (/ 1 (pow x 2))) (/ 1 x)))
(* 1/4 (pow x 4))
(* (pow x 4) (- 1/4 (/ 1 x)))
(* (pow x 4) (+ 1/4 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 4) (+ 1/4 (* -1 (/ (- 1 (/ 1 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)))
(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 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (log x) n))
(/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(-.f64 (*.f64 x (+.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) n) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 (log.f64 x) n))
(/ 1 (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x)) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x)) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 (/.f64 #s(literal -1/4 binary64) n) (*.f64 x (*.f64 x x))))) x)
(/ 1 (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) 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)
(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 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x)
(/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) x))
x
(* x (+ 1 (* -1 x)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(* x (+ 1 (* x (- x 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) x))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))
(/ x n)
(/.f64 x n)
(* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 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)))))
(* 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 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))))))
(* 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)))
(*.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 x (+.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 (/.f64 #s(literal 1/4 binary64) (*.f64 n 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))) 1)
(+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)))
(- (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) 1)
(+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (*.f64 x n)) #s(literal -1 binary64)))
(- (+ (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)
(+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) 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)) (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n))) (*.f64 x x)) #s(literal -1 binary64)))
(- (+ (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)
(+.f64 #s(literal -1 binary64) (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) 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)) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x (*.f64 x x)))))))
(- (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1)
(expm1.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))) 1)
(+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 x n)) (expm1.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(- (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))) 1)
(+.f64 (/.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) (expm1.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(- (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -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)
(+.f64 (/.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 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 #s(literal -1/6 binary64) (*.f64 n (*.f64 n n))))) x))) x)) x) (expm1.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(- (exp (/ (log (+ 1 x)) n)) 1)
(expm1.f64 (/.f64 (log1p.f64 x) n))
(- (exp (/ (log (+ 1 x)) n)) 1)
(expm1.f64 (/.f64 (log1p.f64 x) n))
(- (exp (/ (log (+ 1 x)) n)) 1)
(expm1.f64 (/.f64 (log1p.f64 x) n))
(- (exp (/ (log (+ 1 x)) n)) 1)
(expm1.f64 (/.f64 (log1p.f64 x) n))
(/ (log (+ 1 x)) n)
(/.f64 (log1p.f64 x) n)
(/ (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) n)
(/.f64 (+.f64 (log1p.f64 x) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n))) n)
(/ (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) n)
(/.f64 (+.f64 (log1p.f64 x) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 n n)))) n)
(/ (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) n)
(/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 n n))) (+.f64 (log1p.f64 x) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n)))))) n)
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(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x))))
(* (pow x 4) (- (+ 1/4 (+ (* -1 (/ (pow (log (/ 1 x)) 2) (pow x 4))) (/ 1 (pow x 2)))) (/ 1 x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) x)))
(* 1/4 (pow x 4))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 1/4 (/ 1 x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)))
(* (pow x 4) (+ 1/4 (* -1 (/ (- 1 (/ 1 x)) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 4) (+ 1/4 (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow x 2)))) x))) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) (*.f64 x x))) x)) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 x)))
(*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (+ 1 (* x (- (* 1/4 x) 1))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* (pow x 2) (+ 1 (* x (- (* 1/4 x) 1))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* 1/4 (pow x 4))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 1/4 (/ 1 x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)))
(* (pow x 4) (- (+ 1/4 (/ 1 (pow x 2))) (/ 1 x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x))))
(* (pow x 4) (- (+ 1/4 (/ 1 (pow x 2))) (/ 1 x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x))))
(* 1/4 (pow x 4))
(*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 1/4 (/ 1 x)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) x)))
(* (pow x 4) (+ 1/4 (* -1 (/ (- 1 (/ 1 x)) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 4) (+ 1/4 (* -1 (/ (- 1 (/ 1 x)) x))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 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 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))

eval119.0ms (0.3%)

Compiler

Compiled 32745 to 2671 computations (91.8% saved)

prune156.0ms (0.4%)

Pruning

59 alts after pruning (53 fresh and 6 done)

PrunedKeptTotal
New96325988
Fresh152843
Picked145
Done022
Total979591038
Accuracy
100.0%
Counts
1038 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(/.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 x))) (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))
54.8%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
55.4%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
55.4%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (exp.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))) x)
31.2%
(/.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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n) #s(literal 3 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n))))) (-.f64 #s(literal 0 binary64) n))
31.0%
(/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 (+.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 (*.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 4 binary64))) (*.f64 n (+.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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
51.9%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
31.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (-.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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
41.0%
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
24.8%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
42.6%
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) 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))
38.6%
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
31.5%
(/.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 (+.f64 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) n))
31.8%
(/.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))
✓31.7%
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
32.0%
(/.f64 (-.f64 x (log.f64 x)) n)
25.1%
(/.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))))
25.1%
(/.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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
26.5%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
48.7%
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
30.2%
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n 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)
7.2%
(/.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))
31.4%
(/.f64 (*.f64 (-.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))) (/.f64 #s(literal 1 binary64) n)) (+.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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))))
3.8%
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
10.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
57.6%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
✓54.8%
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
4.5%
(/.f64 x n)
57.5%
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
40.6%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
31.6%
(/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))))
✓17.3%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
32.8%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
9.7%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
17.4%
(-.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 (*.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)))
52.5%
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓40.3%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
34.2%
(*.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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
44.9%
(*.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 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log1p.f64 x) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
24.8%
(*.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 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))))
27.0%
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) x)))
48.6%
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x))
41.0%
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
32.0%
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) x))
✓57.6%
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
31.8%
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 x))
25.1%
(*.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)))))
28.7%
(*.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 x))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (*.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 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))))) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))) (*.f64 n n)) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n) (/.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 n 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))))
34.3%
(*.f64 (*.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
7.0%
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))
7.4%
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
25.4%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (*.f64 n (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) n))))
10.0%
(*.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)))))
5.9%
(*.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))))))
2.9%
(*.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 x (+.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 (/.f64 #s(literal 1/4 binary64) (*.f64 n 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))))))
45.8%
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
41.1%
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x))) n))
13.2%
(expm1.f64 (/.f64 (log1p.f64 x) n))
✓28.3%
#s(literal 0 binary64)
Compiler

Compiled 4674 to 1332 computations (71.5% saved)

regimes116.0ms (0.3%)

Counts
103 → 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) n) x)
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 x 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 1/2 binary64) (*.f64 n n)) (/.f64 #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 #s(literal -1 binary64) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x))
(*.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 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.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) n) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) x)))
(-.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 1/6 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 (/.f64 #s(literal -1 binary64) n) (log.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) x))
(/.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 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.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 (/.f64 x n) #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))
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
(/.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 #s(literal 1 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))
(/.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 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 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 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) n)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (+.f64 (/.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)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
(+.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))))))
(-.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 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 #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 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 x (+.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 (/.f64 #s(literal 1/4 binary64) (*.f64 n 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))))))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (exp.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (exp.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))) x)
(*.f64 #s(literal 1/2 binary64) (-.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 #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) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) 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)
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n 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 (/.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)
(-.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 (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 x))) (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
(/.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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 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 (*.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)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) n))
(/.f64 (*.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 #s(literal 1 binary64) n)) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (-.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 (*.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)))) (log.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
(/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -2 binary64)) n)) (*.f64 (*.f64 x n) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.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))))
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(/.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)))))
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(*.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 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log1p.f64 x) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)) n)
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(/.f64 #s(literal 1 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)) (-.f64 #s(literal 0 binary64) (*.f64 n 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n)))) (*.f64 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n))) (*.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) n)))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) 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))
(/.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))
(/.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 0 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n) #s(literal 2 binary64))) (/.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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (log.f64 x) (log1p.f64 x))) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (*.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 #s(literal 1/4 binary64) (*.f64 #s(literal 1/6 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))))) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))) (*.f64 n n)) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n) (/.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 n n))))))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))
(/.f64 (*.f64 (-.f64 (pow.f64 (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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n) #s(literal 3 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n))))) (-.f64 #s(literal 0 binary64) 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 (*.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))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
Calls

4 calls:

25.0ms
n
25.0ms
x
25.0ms
(/.f64 #s(literal 1 binary64) n)
22.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
88.2%6x
88.0%3n
87.9%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
87.9%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes81.0ms (0.2%)

Counts
97 → 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) n) x)
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 x 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 1/2 binary64) (*.f64 n n)) (/.f64 #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 #s(literal -1 binary64) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x))
(*.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 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.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) n) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) x)))
(-.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 1/6 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 (/.f64 #s(literal -1 binary64) n) (log.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) x))
(/.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 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.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 (/.f64 x n) #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))
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
(/.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 #s(literal 1 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))
(/.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 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 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 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) n)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (+.f64 (/.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)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
(+.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))))))
(-.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 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 #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 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 x (+.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 (/.f64 #s(literal 1/4 binary64) (*.f64 n 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))))))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (exp.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (exp.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))) x)
(*.f64 #s(literal 1/2 binary64) (-.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 #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) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) 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)
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n 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 (/.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)
(-.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 (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 x))) (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
(/.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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 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 (*.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)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) n))
(/.f64 (*.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 #s(literal 1 binary64) n)) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (-.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 (*.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)))) (log.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
(/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -2 binary64)) n)) (*.f64 (*.f64 x n) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.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 (pow.f64 (/.f64 n (-.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)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))))
(/.f64 (*.f64 (-.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))) (/.f64 #s(literal 1 binary64) n)) (+.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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))))
(/.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 (-.f64 (*.f64 x (*.f64 (*.f64 (+.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 (*.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 4 binary64))) (*.f64 n (+.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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
(/.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)
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(*.f64 (/.f64 #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 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x))) n))
(/.f64 (-.f64 (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 (neg.f64 (/.f64 (-.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 n (*.f64 n n))))) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1/3 binary64) n))) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n 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 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log1p.f64 x) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)))
(/.f64 #s(literal 1 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)) (-.f64 #s(literal 0 binary64) (*.f64 n 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n)) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n)))) (*.f64 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 (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) n)) n))) (*.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) n)))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) 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))
Outputs
(*.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 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log1p.f64 x) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

24.0ms
n
24.0ms
(/.f64 #s(literal 1 binary64) n)
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
87.9%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
87.9%3(/.f64 #s(literal 1 binary64) n)
87.9%3n
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes32.0ms (0.1%)

Counts
89 → 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) n) x)
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 x 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 1/2 binary64) (*.f64 n n)) (/.f64 #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 #s(literal -1 binary64) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x))
(*.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 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.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) n) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) x)))
(-.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 1/6 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 (/.f64 #s(literal -1 binary64) n) (log.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) x))
(/.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 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.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 (/.f64 x n) #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))
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
(/.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 #s(literal 1 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))
(/.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 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 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 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) n)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (+.f64 (/.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)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
(+.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))))))
(-.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 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 #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 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 x (+.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 (/.f64 #s(literal 1/4 binary64) (*.f64 n 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))))))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (exp.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (exp.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))) x)
(*.f64 #s(literal 1/2 binary64) (-.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 #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) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) 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)
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n 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 (/.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)
(-.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 (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 x))) (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
(/.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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 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 (*.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)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) n))
(/.f64 (*.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 #s(literal 1 binary64) n)) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (-.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 (*.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)))) (log.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
(/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -2 binary64)) n)) (*.f64 (*.f64 x n) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.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 (pow.f64 (/.f64 n (-.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)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))))
(/.f64 (*.f64 (-.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))) (/.f64 #s(literal 1 binary64) n)) (+.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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))))
(/.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 (-.f64 (*.f64 x (*.f64 (*.f64 (+.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 (*.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 4 binary64))) (*.f64 n (+.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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
(/.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)
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(*.f64 (/.f64 #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 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))))
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x))) n))
(/.f64 (-.f64 (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 (neg.f64 (/.f64 (-.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n))) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 n (*.f64 n n))))) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1/3 binary64) n))) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))))))))
Outputs
(/.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)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
Calls

1 calls:

22.0ms
n
Results
AccuracySegmentsBranch
87.9%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes66.0ms (0.2%)

Counts
83 → 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) n) x)
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 x 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 1/2 binary64) (*.f64 n n)) (/.f64 #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 #s(literal -1 binary64) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x))
(*.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 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.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) n) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) x)))
(-.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 1/6 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 (/.f64 #s(literal -1 binary64) n) (log.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) x))
(/.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 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.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 (/.f64 x n) #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))
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
(/.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 #s(literal 1 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))
(/.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 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 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 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) n)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (+.f64 (/.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)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
(+.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))))))
(-.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 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 #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 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 x (+.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 (/.f64 #s(literal 1/4 binary64) (*.f64 n 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))))))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x n) (exp.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (exp.f64 (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n))) x)
(*.f64 #s(literal 1/2 binary64) (-.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 #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) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) 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)
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n 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 (/.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)
(-.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 (pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 x))) (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
(/.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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 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 (*.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)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) n))
(/.f64 (*.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 #s(literal 1 binary64) n)) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (-.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 (*.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)))) (log.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
(/.f64 (exp.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal -2 binary64)) n)) (*.f64 (*.f64 x n) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(*.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 (pow.f64 (/.f64 n (-.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)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))))
(/.f64 (*.f64 (-.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))) (/.f64 #s(literal 1 binary64) n)) (+.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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))))
(/.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 (-.f64 (*.f64 x (*.f64 (*.f64 (+.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 (*.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 4 binary64))) (*.f64 n (+.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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))
Outputs
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
Calls

3 calls:

22.0ms
(/.f64 #s(literal 1 binary64) n)
21.0ms
n
17.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
87.6%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)))
87.7%3(/.f64 #s(literal 1 binary64) n)
87.7%3n
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes32.0ms (0.1%)

Counts
55 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 x 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 1/2 binary64) (*.f64 n n)) (/.f64 #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 #s(literal -1 binary64) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x))
(*.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 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.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) n) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) x)))
(-.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 1/6 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 (/.f64 #s(literal -1 binary64) n) (log.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) x))
(/.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 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.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 (/.f64 x n) #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))
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
(/.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 #s(literal 1 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))
(/.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 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 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 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) n)) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (+.f64 (/.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)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
(+.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))))))
(-.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 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 #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 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 x (+.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 (/.f64 #s(literal 1/4 binary64) (*.f64 n 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))))))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
Outputs
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) 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

2 calls:

14.0ms
n
14.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.1%3(/.f64 #s(literal 1 binary64) n)
84.1%4n
Compiler

Compiled 8 to 6 computations (25% saved)

regimes16.0ms (0%)

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

1 calls:

12.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.1%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes25.0ms (0.1%)

Counts
42 → 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) n) x)
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 x 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 1/2 binary64) (*.f64 n n)) (/.f64 #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 #s(literal -1 binary64) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x))
(*.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 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.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) n) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) x)))
(-.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 1/6 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 (/.f64 #s(literal -1 binary64) n) (log.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) x))
(/.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 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.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 (/.f64 x n) #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))
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
(/.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 #s(literal 1 binary64) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))
(/.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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x 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) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x))
Calls

2 calls:

11.0ms
x
11.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
72.8%3x
84.8%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0%)

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

1 calls:

9.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.7%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0%)

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

1 calls:

9.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.7%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes28.0ms (0.1%)

Counts
30 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 x 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 1/2 binary64) (*.f64 n n)) (/.f64 #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 #s(literal -1 binary64) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x))
(*.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 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.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) n) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) x)))
(-.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 1/6 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 (/.f64 #s(literal -1 binary64) n) (log.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 x) x))
(/.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 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x))
Calls

3 calls:

9.0ms
n
8.0ms
(/.f64 #s(literal 1 binary64) n)
8.0ms
x
Results
AccuracySegmentsBranch
64.7%4x
74.0%5n
74.0%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes25.0ms (0.1%)

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

3 calls:

8.0ms
x
8.0ms
(/.f64 #s(literal 1 binary64) n)
8.0ms
n
Results
AccuracySegmentsBranch
64.5%4x
61.1%3n
65.7%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes17.0ms (0%)

Counts
26 → 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) n) x)
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 x 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 1/2 binary64) (*.f64 n n)) (/.f64 #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 #s(literal -1 binary64) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x))
(*.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 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.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) n) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) x)))
(-.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 1/6 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 (/.f64 #s(literal -1 binary64) n) (log.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
Outputs
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
#s(literal 0 binary64)
Calls

2 calls:

7.0ms
x
7.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
57.3%3(/.f64 #s(literal 1 binary64) n)
61.1%3x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes20.0ms (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) n) x)
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 x 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 1/2 binary64) (*.f64 n n)) (/.f64 #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 #s(literal -1 binary64) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x))
(*.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 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.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) n) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) x)))
(-.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 1/6 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 (/.f64 #s(literal -1 binary64) n) (log.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)
Outputs
(/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
#s(literal 0 binary64)
Calls

2 calls:

7.0ms
x
7.0ms
n
Results
AccuracySegmentsBranch
55.5%2n
60.6%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0%)

Counts
24 → 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) n) x)
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 x 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 1/2 binary64) (*.f64 n n)) (/.f64 #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 #s(literal -1 binary64) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x))
(*.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 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.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) n) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) x)))
(-.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 1/6 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 (/.f64 #s(literal -1 binary64) n) (log.f64 x))
Outputs
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
#s(literal 0 binary64)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
60.6%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0%)

Counts
23 → 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) n) x)
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 x 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 1/2 binary64) (*.f64 n n)) (/.f64 #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 #s(literal -1 binary64) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x))
(*.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 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal 1/2 binary64) n)))
(/.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) n) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) x)))
(-.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 1/6 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))))))
Outputs
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
#s(literal 0 binary64)
Calls

3 calls:

6.0ms
x
6.0ms
(/.f64 #s(literal 1 binary64) n)
6.0ms
n
Results
AccuracySegmentsBranch
48.7%1n
48.7%1(/.f64 #s(literal 1 binary64) n)
52.2%2x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
52.2%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0%)

Counts
15 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 #s(literal -1 binary64) x))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 x 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 1/2 binary64) (*.f64 n n)) (/.f64 #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)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
Calls

3 calls:

5.0ms
x
5.0ms
n
4.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
46.7%3n
46.7%3(/.f64 #s(literal 1 binary64) n)
44.6%2x
Compiler

Compiled 11 to 8 computations (27.3% 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
46.3%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -16.0b remaining (-35%)

Threshold costs -16b (-35%)

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
x
2.0ms
n
Results
AccuracySegmentsBranch
28.3%1x
28.3%1n
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch71.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
39.0ms
1.702171729040956e-18
25.935111921317336
27.0ms
-4050600.3435605033
-164976.92478272726
Results
25.0ms48×2valid
16.0ms171×0valid
12.0ms53×1valid
3.0ms16×0unsamplable
Compiler

Compiled 749 to 496 computations (33.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-pow: 30.0ms (72% of total)
ival-div: 4.0ms (9.6% of total)
ival-add: 3.0ms (7.2% of total)
backward-pass: 3.0ms (7.2% of total)
ival-sub: 2.0ms (4.8% of total)
const: 0.0ms (0% of total)

bsearch69.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
1.702171729040956e-18
25.935111921317336
30.0ms
-48020736581.34271
-4050600.3435605033
Results
21.0ms44×2valid
17.0ms178×0valid
16.0ms66×1valid
1.0ms5×0unsamplable
Compiler

Compiled 736 to 466 computations (36.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-pow: 29.0ms (70.5% of total)
ival-div: 4.0ms (9.7% of total)
backward-pass: 3.0ms (7.3% of total)
ival-add: 3.0ms (7.3% of total)
ival-sub: 2.0ms (4.9% of total)
const: 0.0ms (0% of total)

bsearch75.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
40.0ms
1.702171729040956e-18
25.935111921317336
30.0ms
-48020736581.34271
-4050600.3435605033
Results
28.0ms56×2valid
17.0ms179×0valid
13.0ms53×1valid
3.0ms7×0unsamplable
Compiler

Compiled 576 to 394 computations (31.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-pow: 32.0ms (72.2% of total)
ival-div: 4.0ms (9% of total)
backward-pass: 3.0ms (6.8% of total)
ival-add: 3.0ms (6.8% of total)
ival-sub: 2.0ms (4.5% of total)
const: 1.0ms (2.3% of total)

bsearch84.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
38.0ms
1.702171729040956e-18
25.935111921317336
41.0ms
-48020736581.34271
-4050600.3435605033
Results
30.0ms60×2valid
28.0ms118×1valid
10.0ms110×0valid
1.0ms7×0unsamplable
Compiler

Compiled 472 to 338 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-pow: 37.0ms (70.5% of total)
ival-div: 4.0ms (7.6% of total)
backward-pass: 4.0ms (7.6% of total)
ival-sub: 3.0ms (5.7% of total)
ival-add: 3.0ms (5.7% of total)
const: 1.0ms (1.9% of total)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.03855776690047947
587484789542018600.0
0.0ms
-2.0824336967553422e-11
-1.208948416036953e-11
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.03855776690047947
587484789542018600.0
0.0ms
-2.0824336967553422e-11
-1.208948416036953e-11
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.000945028223284e+178
1.0719728437581809e+184
0.0ms
587484789542018600.0
3.032142191086093e+26
0.0ms
-2.0824336967553422e-11
-1.208948416036953e-11
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
3.125667911867656e+163
1.7353834948142223e+164
0.0ms
587484789542018600.0
3.032142191086093e+26
0.0ms
-2.0824336967553422e-11
-1.208948416036953e-11
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
3.125667911867656e+163
1.7353834948142223e+164
0.0ms
587484789542018600.0
3.032142191086093e+26
0.0ms
-2.0824336967553422e-11
-1.208948416036953e-11
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
3.125667911867656e+163
1.7353834948142223e+164
0.0ms
587484789542018600.0
3.032142191086093e+26
0.0ms
-2.46876984936261e-7
-2.0824336967553422e-11
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch100.0ms (0.2%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
52.0ms
4.382482121592845e+231
4.022491399281318e+236
22.0ms
0.0005188393908085306
0.003836802610576913
21.0ms
3.3612023930506354e-207
4.3004810532207515e-207
Results
38.0ms95×2valid
29.0ms83×1valid
14.0ms110×0valid
3.0ms26×0unsamplable
Compiler

Compiled 467 to 333 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-pow: 50.0ms (74.8% of total)
ival-div: 5.0ms (7.5% of total)
backward-pass: 5.0ms (7.5% of total)
ival-add: 4.0ms (6% of total)
ival-sub: 3.0ms (4.5% of total)
const: 1.0ms (1.5% of total)

bsearch79.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
54.0ms
4.382482121592845e+231
4.022491399281318e+236
21.0ms
0.0005188393908085306
0.003836802610576913
Results
40.0ms98×2valid
12.0ms52×1valid
10.0ms90×0valid
3.0ms29×0unsamplable
Compiler

Compiled 410 to 294 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-pow: 35.0ms (69.6% of total)
ival-div: 4.0ms (8% of total)
backward-pass: 4.0ms (8% of total)
ival-sub: 3.0ms (6% of total)
ival-add: 3.0ms (6% of total)
const: 1.0ms (2% of total)

bsearch78.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
53.0ms
4.382482121592845e+231
4.022491399281318e+236
21.0ms
0.0005188393908085306
0.003836802610576913
Results
39.0ms90×2valid
12.0ms50×1valid
12.0ms100×0valid
3.0ms23×0unsamplable
Compiler

Compiled 410 to 300 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-pow: 34.0ms (70.5% of total)
ival-div: 4.0ms (8.3% of total)
backward-pass: 4.0ms (8.3% of total)
ival-add: 3.0ms (6.2% of total)
ival-sub: 2.0ms (4.1% of total)
const: 1.0ms (2.1% of total)

bsearch77.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
52.0ms
4.382482121592845e+231
4.022491399281318e+236
21.0ms
0.0005188393908085306
0.003836802610576913
Results
37.0ms88×2valid
12.0ms50×1valid
12.0ms102×0valid
3.0ms28×0unsamplable
Compiler

Compiled 410 to 300 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-pow: 35.0ms (71.3% of total)
ival-div: 4.0ms (8.1% of total)
backward-pass: 4.0ms (8.1% of total)
ival-sub: 3.0ms (6.1% of total)
ival-add: 3.0ms (6.1% of total)
const: 1.0ms (2% of total)

bsearch60.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
57.0ms
4.382482121592845e+231
4.022491399281318e+236
Results
44.0ms101×2valid
5.0ms43×0valid
3.0ms26×0unsamplable
Compiler

Compiled 236 to 174 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-pow: 28.0ms (69.7% of total)
ival-div: 3.0ms (7.5% of total)
backward-pass: 3.0ms (7.5% of total)
ival-sub: 3.0ms (7.5% of total)
ival-add: 2.0ms (5% of total)
const: 0.0ms (0% of total)

bsearch56.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
54.0ms
4.382482121592845e+231
4.022491399281318e+236
Results
40.0ms97×2valid
5.0ms47×0valid
3.0ms26×0unsamplable
Compiler

Compiled 218 to 165 computations (24.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-pow: 26.0ms (70.5% of total)
ival-div: 3.0ms (8.1% of total)
backward-pass: 3.0ms (8.1% of total)
ival-add: 2.0ms (5.4% of total)
ival-sub: 2.0ms (5.4% of total)
const: 0.0ms (0% of total)

bsearch37.0ms (0.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
-1.1955192764134882e-233
-2.9147408146835895e-234
20.0ms
-3.455251240167063e-6
-3.2321584636783555e-14
Results
27.0ms240×0valid
Compiler

Compiled 200 to 162 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-pow: 14.0ms (72.4% of total)
ival-div: 2.0ms (10.3% of total)
ival-sub: 1.0ms (5.2% of total)
ival-add: 1.0ms (5.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
-1.1955192764134882e-233
-2.9147408146835895e-234
20.0ms
-3.455251240167063e-6
-3.2321584636783555e-14
Results
27.0ms240×0valid
Compiler

Compiled 200 to 162 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-pow: 14.0ms (71.4% of total)
ival-div: 2.0ms (10.2% of total)
ival-add: 2.0ms (10.2% of total)
ival-sub: 1.0ms (5.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify100.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
790×distribute-lft-neg-in_binary64
432×neg-mul-1_binary64
426×neg-sub0_binary64
370×distribute-neg-in_binary64
362×cancel-sign-sub_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0179781
1249781
2312781
3368781
4472780
5608780
6806780
71029780
81333780
91755780
102094780
112350780
122486780
132580780
142624780
152630780
162630780
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 n #s(literal -210000 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 (*.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)) (if (<=.f64 n #s(literal 25 binary64)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 n #s(literal -62000000 binary64)) (*.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 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log1p.f64 x) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n)) (if (<=.f64 n #s(literal 25 binary64)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 n #s(literal -45000000 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) (if (<=.f64 n #s(literal 25 binary64)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 n #s(literal -22000000000 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 n #s(literal 25 binary64)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) 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 -6189700196426901/309485009821345068724781056 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1000000000000000000 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 20000000000000001048762368950125674390947600308859449221132274486636123669507437727641913661775715231977449272833864355658690803360374488303464595921184714543633814120241555308544 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x 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) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1000000000000000000 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 50000000000000000089167497429395918257281821280150696355350763885064751423894976781023435399642148049938448518110489117821903823015814311726876591626281723703066624 binary64)) (-.f64 #s(literal 1 binary64) (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) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1000000000000000000 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 50000000000000000089167497429395918257281821280150696355350763885064751423894976781023435399642148049938448518110489117821903823015814311726876591626281723703066624 binary64)) (-.f64 #s(literal 1 binary64) (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) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -944473296573929/4722366482869645213696 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1000000000000000000 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 50000000000000000089167497429395918257281821280150696355350763885064751423894976781023435399642148049938448518110489117821903823015814311726876591626281723703066624 binary64)) (-.f64 #s(literal 1 binary64) (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) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x)))))
(if (<=.f64 x #s(literal 5783580587434429/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 8762203435012037/2305843009213693952 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 4800000000000000133190666320950356323016801447745835308359885060818382684612640441103282670024012415086387164272959842218894368310714964194888163919677434951637175389682833782062892938366940054378527609182658976070939055439749316608 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 8762203435012037/2305843009213693952 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 4399999999999999834817888757642654820644140523406922178074003540900582414162139351417650394177437415461479799343515905691023298486075653811612890302999507060713686766007878148003036434274907393939586944494959395488798679356296658944 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 8762203435012037/2305843009213693952 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) n) (if (<=.f64 x #s(literal 4399999999999999834817888757642654820644140523406922178074003540900582414162139351417650394177437415461479799343515905691023298486075653811612890302999507060713686766007878148003036434274907393939586944494959395488798679356296658944 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 8762203435012037/2305843009213693952 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 x)) (if (<=.f64 x #s(literal 4399999999999999834817888757642654820644140523406922178074003540900582414162139351417650394177437415461479799343515905691023298486075653811612890302999507060713686766007878148003036434274907393939586944494959395488798679356296658944 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 2100000000000000055168362117420913035784941016708913937377886090247666726013316157611074293959384032777923133276027600314262283513311335750899598107326465861575764013701264809208525813935872567106805944687050539639212565843084811698176 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 9500000000000000191788138251073787270440437664406942334148299741657315301612655609785157271086381080266547487313558700305820969165270100793957509435185387930543478623446928655610821750710871943647320052193393056996343016858635468800 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x) #s(literal -1 binary64)) x)) #s(literal 0 binary64))
(if (<=.f64 n #s(literal -8028023020878397/2361183241434822606848 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 n #s(literal -4251087300398627/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(if (<=.f64 n #s(literal -7791904696734915/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (if (<=.f64 n #s(literal -1073958896942811/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330432 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(literal 0 binary64)
Outputs
(if (<=.f64 n #s(literal -210000 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 (*.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)) (if (<=.f64 n #s(literal 25 binary64)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 n #s(literal -210000 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 (*.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)))) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n)) n) (-.f64 (log1p.f64 x) (log.f64 x))) n) (if (<=.f64 n #s(literal 25 binary64)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
(if (<=.f64 n #s(literal -62000000 binary64)) (*.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 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log1p.f64 x) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n)) (if (<=.f64 n #s(literal 25 binary64)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 n #s(literal -62000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (log1p.f64 x) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n))) (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)))) n)) (if (<=.f64 n #s(literal 25 binary64)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
(if (<=.f64 n #s(literal -45000000 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) (if (<=.f64 n #s(literal 25 binary64)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 n #s(literal -45000000 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) (if (<=.f64 n #s(literal 25 binary64)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
(if (<=.f64 n #s(literal -22000000000 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 n #s(literal 25 binary64)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(if (<=.f64 n #s(literal -22000000000 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 n #s(literal 25 binary64)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
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#s(literal 0 binary64)

soundness2.4s (5.5%)

Rules
4406×*-lowering-*.f32
4406×*-lowering-*.f64
4338×*-lowering-*.f32
4338×*-lowering-*.f64
4298×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065368
1524325
25840325
08399325
061269
1401263
24355263
08521263
0149111507
1515610269
0823110269
029131
1184102
2155698
0819798
05063733
115963273
247013204
086203204
0826
15924
242524
3480324
0802624
02631600
18111384
225601304
082531304
0215218983
1763018026
0832318026
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 1905 to 963 computations (49.4% saved)

preprocess103.0ms (0.2%)

Compiler

Compiled 1604 to 370 computations (76.9% saved)

end0.0ms (0%)

Profiling

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