2nthrt (problem 3.4.6)

Time bar (total: 41.5s)

analyze290.0ms (0.7%)

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: 191.0ms
ival-pow: 150.0ms (78.4% of total)
ival-div: 16.0ms (8.4% of total)
ival-add: 14.0ms (7.3% of total)
ival-sub: 9.0ms (4.7% of total)
const: 2.0ms (1% of total)
backward-pass: 1.0ms (0.5% of total)

sample30.9s (74.4%)

Results
25.8s7115×5exit
2.1s3689×1valid
1.1s1998×2valid
394.0ms2569×0valid
275.0ms1588×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 27.9s
ival-pow: 25.4s (91.1% of total)
backward-pass: 862.0ms (3.1% of total)
ival-add: 674.0ms (2.4% of total)
ival-div: 533.0ms (1.9% of total)
ival-sub: 365.0ms (1.3% of total)
const: 62.0ms (0.2% of total)
Bogosity

preprocess52.0ms (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)))

explain287.0ms (0.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1150-0-(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
2872(2.4344554930775406e+196 -2.300593205819746e-61)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
073(2.4344554930775406e+196 -2.300593205819746e-61)0-(pow.f64 x (/.f64 #s(literal 1 binary64) n))
00-0-(+.f64 x #s(literal 1 binary64))
Results
152.0ms286×1valid
68.0ms126×2valid
14.0ms100×0valid
Compiler

Compiled 89 to 26 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 187.0ms
ival-pow: 155.0ms (82.9% of total)
backward-pass: 10.0ms (5.3% of total)
ival-div: 8.0ms (4.3% of total)
ival-add: 7.0ms (3.7% of total)
ival-sub: 5.0ms (2.7% 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
▶54.5%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify13.0ms (0%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize121.0ms (0.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy89.8%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy58.7%
(-.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
67.0ms143×1valid
34.0ms63×2valid
8.0ms50×0valid
Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-pow: 68.0ms (80.2% of total)
ival-div: 5.0ms (5.9% of total)
backward-pass: 5.0ms (5.9% of total)
ival-add: 3.0ms (3.5% of total)
ival-sub: 3.0ms (3.5% of total)
const: 1.0ms (1.2% of total)

series9.0ms (0%)

Counts
4 → 72
Calls
Call 1
Inputs
#<alt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))>
#<alt (pow (+ x 1) (/ 1 n))>
#<alt (+ x 1)>
#<alt (/ 1 n)>
Outputs
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)>
#<alt (/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)>
#<alt (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)>
#<alt (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
Calls

18 calls:

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

rewrite243.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
2426×*-lowering-*.f32
2426×*-lowering-*.f64
1710×fma-lowering-fma.f32
1710×fma-lowering-fma.f64
1584×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0822
15920
242020
3477920
0825520
Stop Event
1×iter limit
1×node limit
Counts
4 → 258
Calls
Call 1
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
(/ 1 n)
Outputs
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (-.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))))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (-.f64 (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)))))
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(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)))
(*.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 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 n)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) n))
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(neg.f64 (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) n))
(/.f64 #s(literal 2 binary64) (*.f64 n #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) n))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) n) (/.f64 #s(literal 2 binary64) n)) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) n))) (*.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) n)) (*.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 n #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 n #s(literal 2 binary64))) (*.f64 n #s(literal 2 binary64))) (*.f64 (*.f64 n #s(literal 2 binary64)) (*.f64 n #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) n))) (*.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.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) (*.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)))

simplify266.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
3796×*-lowering-*.f32
3796×*-lowering-*.f64
3408×+-lowering-+.f64
3408×+-lowering-+.f32
2050×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02401373
17451245
223721170
080931170
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
Outputs
(- 1 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 #s(literal 1 binary64) (/.f64 x 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)))
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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)

eval46.0ms (0.1%)

Compiler

Compiled 12326 to 1194 computations (90.3% saved)

prune73.0ms (0.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New37416390
Fresh000
Picked011
Done000
Total37417391
Accuracy
99.8%
Counts
391 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.2%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
25.7%
(/.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 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (neg.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))))
▶25.7%
(/.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)))))
25.6%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
25.7%
(/.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)))))
62.8%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
43.6%
(/.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)
▶40.4%
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x))) x)
▶69.3%
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 (log1p.f64 x) (log.f64 x))) n)
✓54.5%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
43.8%
(-.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
29.7%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
19.6%
(-.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)))
16.2%
(-.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)))
58.7%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶39.5%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶17.5%
(+.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))))))
Compiler

Compiled 921 to 502 computations (45.5% saved)

simplify202.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n))
✓cost-diff0
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
✓cost-diff0
(/.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)))))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n)
✓cost-diff128
(*.f64 (+.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) n))) x))
✓cost-diff128
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x)))
✓cost-diff128
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x))) x)
✓cost-diff128
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
✓cost-diff128
(+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
✓cost-diff128
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
✓cost-diff128
(+.f64 (+.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))))))
✓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
(/.f64 #s(literal 1/2 binary64) n)
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
✓cost-diff12800
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 (log1p.f64 x) (log.f64 x)))
✓cost-diff12800
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 (log1p.f64 x) (log.f64 x))) n)
Rules
2220×*-lowering-*.f32
2220×*-lowering-*.f64
1868×fma-lowering-fma.f32
1868×fma-lowering-fma.f64
1584×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
053485
1119473
2306472
3845465
42277462
56545462
08322462
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (- (log (+ 1 x)) (log x))) n)
(+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (- (log (+ 1 x)) (log x)))
(* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
(/ 1/2 n)
1/2
n
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log (+ 1 x)) 2)
(log (+ 1 x))
x
2
(pow (log x) 2)
(log x)
(- (log (+ 1 x)) (log x))
(- 1 (pow x (/ 1 n)))
1
(pow x (/ 1 n))
x
(/ 1 n)
n
(+ (+ 1 (/ -1 (pow x (/ -1 n)))) (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))))
(+ 1 (/ -1 (pow x (/ -1 n))))
1
(/ -1 (pow x (/ -1 n)))
-1
(pow x (/ -1 n))
x
(/ -1 n)
n
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))
(+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))
(/ 1 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
(/ (+ (/ (/ 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))
(/ 1/2 (* n n))
1/2
(* n n)
(/ -1/2 n)
-1/2
(/ (/ 1 (pow x (/ -1 n))) x)
(/ (- (pow (+ x 1) (/ 3 n)) (pow x (/ 3 n))) (+ (pow (+ x 1) (/ 2 n)) (+ (pow x (/ 2 n)) (pow (* x (+ x 1)) (/ 1 n)))))
(- (pow (+ x 1) (/ 3 n)) (pow x (/ 3 n)))
(pow (+ x 1) (/ 3 n))
(+ x 1)
x
1
(/ 3 n)
3
n
(pow x (/ 3 n))
(+ (pow (+ x 1) (/ 2 n)) (+ (pow x (/ 2 n)) (pow (* x (+ x 1)) (/ 1 n))))
(pow (+ x 1) (/ 2 n))
(/ 2 n)
2
(+ (pow x (/ 2 n)) (pow (* x (+ x 1)) (/ 1 n)))
(pow x (/ 2 n))
(pow (* x (+ x 1)) (/ 1 n))
(* x (+ x 1))
(/ 1 n)
Outputs
(/ (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (- (log (+ 1 x)) (log x))) n)
(/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (log1p.f64 x) (log.f64 x))))) n)
(+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (- (log (+ 1 x)) (log x)))
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (log1p.f64 x) (log.f64 x)))))
(* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
1/2
#s(literal 1/2 binary64)
n
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log (+ 1 x)) 2)
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(log (+ 1 x))
(log1p.f64 x)
x
2
#s(literal 2 binary64)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log x)
(log.f64 x)
(- (log (+ 1 x)) (log x))
(-.f64 (log1p.f64 x) (log.f64 x))
(- 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 (/ -1 (pow x (/ -1 n)))) (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 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 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) n))))
(+ 1 (/ -1 (pow x (/ -1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
1
#s(literal 1 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
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) n)))
(+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))
(+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 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 n))) n) (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (/ 1 (pow x (/ -1 n))) x))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))) x)
(+ (/ (/ 1 (pow x (/ -1 n))) n) (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (/ 1 (pow x (/ -1 n))) x)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
(/ (/ 1 (pow x (/ -1 n))) n)
(/.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 n (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) 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)
(/ (/ 1 (pow x (/ -1 n))) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))))
(/ (- (pow (+ x 1) (/ 3 n)) (pow x (/ 3 n))) (+ (pow (+ x 1) (/ 2 n)) (+ (pow x (/ 2 n)) (pow (* x (+ x 1)) (/ 1 n)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)))))
(- (pow (+ x 1) (/ 3 n)) (pow x (/ 3 n)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
(pow (+ x 1) (/ 3 n))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
1
#s(literal 1 binary64)
(/ 3 n)
(/.f64 #s(literal 3 binary64) n)
3
#s(literal 3 binary64)
n
(pow x (/ 3 n))
(pow.f64 x (/.f64 #s(literal 3 binary64) n))
(+ (pow (+ x 1) (/ 2 n)) (+ (pow x (/ 2 n)) (pow (* x (+ x 1)) (/ 1 n))))
(+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n))))
(pow (+ x 1) (/ 2 n))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
2
#s(literal 2 binary64)
(+ (pow x (/ 2 n)) (pow (* x (+ x 1)) (/ 1 n)))
(+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)))
(pow x (/ 2 n))
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
(pow (* x (+ x 1)) (/ 1 n))
(pow.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n))
(* x (+ x 1))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)

localize1.0s (2.5%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.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)))))
✓accuracy99.9%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))
✓accuracy99.9%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n))
✓accuracy85.8%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))
✓accuracy100.0%
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x)))
✓accuracy99.9%
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x))) x)
✓accuracy99.9%
(*.f64 (+.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) n))) x))
✓accuracy99.9%
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
✓accuracy99.9%
(*.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 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
✓accuracy99.9%
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
✓accuracy85.8%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy85.8%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy99.9%
(-.f64 (log1p.f64 x) (log.f64 x))
✓accuracy99.9%
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 (log1p.f64 x) (log.f64 x))) n)
✓accuracy99.9%
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
✓accuracy99.9%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
Results
705.0ms129×5exit
86.0ms71×0unsamplable
75.0ms45×1valid
19.0ms10×1unsamplable
1.0ms1×0valid
Compiler

Compiled 511 to 53 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 693.0ms
ival-pow: 349.0ms (50.4% of total)
ival-log: 97.0ms (14% of total)
backward-pass: 92.0ms (13.3% of total)
ival-div: 64.0ms (9.2% of total)
ival-add: 31.0ms (4.5% of total)
ival-mult: 27.0ms (3.9% of total)
compiled-spec: 18.0ms (2.6% of total)
ival-sub: 13.0ms (1.9% of total)
const: 3.0ms (0.4% of total)

series203.0ms (0.5%)

Counts
24 → 504
Calls
Call 1
Inputs
#<alt (/ (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (- (log (+ 1 x)) (log x))) n)>
#<alt (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (- (log (+ 1 x)) (log x)))>
#<alt (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))>
#<alt (/ 1/2 n)>
#<alt (- 1 (pow x (/ 1 n)))>
#<alt (pow x (/ 1 n))>
#<alt (/ 1 n)>
#<alt (+ (+ 1 (/ -1 (pow x (/ -1 n)))) (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))))>
#<alt (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))>
#<alt (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))>
#<alt (* x (+ (/ 1/2 (* n n)) (/ -1/2 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 (* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (/ 1 (pow x (/ -1 n))) x))>
#<alt (/ (/ 1 (pow x (/ -1 n))) n)>
#<alt (/ (- (pow (+ x 1) (/ 3 n)) (pow x (/ 3 n))) (+ (pow (+ x 1) (/ 2 n)) (+ (pow x (/ 2 n)) (pow (* x (+ x 1)) (/ 1 n)))))>
#<alt (- (pow (+ x 1) (/ 3 n)) (pow x (/ 3 n)))>
#<alt (pow (+ x 1) (/ 3 n))>
#<alt (+ x 1)>
#<alt (pow (log x) 2)>
#<alt (- (log (+ 1 x)) (log x))>
#<alt (+ 1 (/ -1 (pow x (/ -1 n))))>
#<alt (/ 1/2 (* n n))>
#<alt (pow (+ x 1) (/ 2 n))>
Outputs
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2)))>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)>
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)>
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))>
#<alt (* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))>
#<alt (* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))>
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) (* n x)))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)>
#<alt (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)>
#<alt (- (log (+ 1 x)) (log x))>
#<alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))>
#<alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))>
#<alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))>
#<alt (- (log (+ 1 x)) (log x))>
#<alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))>
#<alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))>
#<alt (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) x))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n)))) 1/4) x)) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (+ (* -1/2 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow x 2) n)))>
#<alt (+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* -1/2 (/ x n)) (* 1/2 (/ 1 n)))))>
#<alt (+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 11/24 (/ x n)) (* 1/2 (/ 1 n)))) (* 1/2 (/ 1 n)))))>
#<alt (* -1 (/ (log (/ 1 x)) (* n x)))>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))) x)>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))))) x)>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2)))))) x)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) x)) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) x))) x))>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (* -1 (/ (log x) n))>
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (* -1/24 (/ (pow (log x) 4) (pow n 3))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (- (* 1/2 (/ (pow (log x) 2) n)) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))>
#<alt (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 (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
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#<alt (* -1 (/ (- (+ (* -3 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -9/2 (pow (log (+ 1 x)) 3)) (* -1 (/ (- (* 27/8 (pow (log (+ 1 x)) 4)) (* 27/8 (pow (log x) 4))) n))) (* -9/2 (pow (log x) 3))) n)) (* 9/2 (pow (log (+ 1 x)) 2))) (* 9/2 (pow (log x) 2))) n))) (* -3 (log x))) n))>
#<alt 1>
#<alt (+ 1 (* 3 (/ x n)))>
#<alt (+ 1 (* x (+ (* x (- (* 9/2 (/ 1 (pow n 2))) (* 3/2 (/ 1 n)))) (* 3 (/ 1 n)))))>
#<alt (+ 1 (* x (+ (* x (- (+ (* 9/2 (/ 1 (pow n 2))) (* x (- (+ (* 9/2 (/ 1 (pow n 3))) (/ 1 n)) (* 9/2 (/ 1 (pow n 2)))))) (* 3/2 (/ 1 n)))) (* 3 (/ 1 n)))))>
#<alt (exp (* -3 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -3 (/ (log (/ 1 x)) n))) (* 3 (/ (exp (* -3 (/ (log (/ 1 x)) n))) (* n x))))>
#<alt (+ (exp (* -3 (/ (log (/ 1 x)) n))) (+ (* 3 (/ (exp (* -3 (/ (log (/ 1 x)) n))) (* n x))) (/ (* (exp (* -3 (/ (log (/ 1 x)) n))) (- (* 9/2 (/ 1 (pow n 2))) (* 3/2 (/ 1 n)))) (pow x 2))))>
#<alt (+ (exp (* -3 (/ (log (/ 1 x)) n))) (+ (* 3 (/ (exp (* -3 (/ (log (/ 1 x)) n))) (* n x))) (+ (/ (* (exp (* -3 (/ (log (/ 1 x)) n))) (- (* 9/2 (/ 1 (pow n 2))) (* 3/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -3 (/ (log (/ 1 x)) n))) (- (+ (* 9/2 (/ 1 (pow n 3))) (/ 1 n)) (* 9/2 (/ 1 (pow n 2))))) (pow x 3)))))>
#<alt (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (+ (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* 3 (/ (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x))))>
#<alt (+ (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -3 (/ (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (* (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 9/2 (/ 1 (pow n 2))) (* 3/2 (/ 1 n)))) x))) x)))>
#<alt (+ (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* -1 (/ (+ (* -3 (/ (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (+ (* -1 (/ (* (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 9/2 (/ 1 (pow n 2))) (+ (* 9/2 (/ 1 (pow n 3))) (/ 1 n)))) x)) (* (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (- (* 9/2 (/ 1 (pow n 2))) (* 3/2 (/ 1 n))))) x))) x)))>
#<alt (exp (* 3 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 3 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 3 (/ (log (+ 1 x)) n)))>
#<alt (exp (* 3 (/ (log (+ 1 x)) n)))>
#<alt 1>
#<alt (+ 1 (* 3 (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (+ (* 3 (/ (log (+ 1 x)) n)) (* 9/2 (/ (pow (log (+ 1 x)) 2) (pow n 2)))))>
#<alt (+ 1 (+ (* 3 (/ (log (+ 1 x)) n)) (+ (* 9/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (* 9/2 (/ (pow (log (+ 1 x)) 3) (pow n 3))))))>
#<alt 1>
#<alt (+ 1 (* 3 (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -9/2 (/ (pow (log (+ 1 x)) 2) n)) (* -3 (log (+ 1 x)))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -3 (log (+ 1 x))) (* -1 (/ (+ (* 9/2 (/ (pow (log (+ 1 x)) 3) n)) (* 9/2 (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 (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (* -1 (log x))>
#<alt (- x (log x))>
#<alt (- (* x (+ 1 (* -1/2 x))) (log x))>
#<alt (- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (- 1 (/ 1 (exp (/ (log (/ 1 x)) n))))>
#<alt (- 1 (/ 1 (exp (/ (log (/ 1 x)) n))))>
#<alt (- 1 (/ 1 (exp (/ (log (/ 1 x)) n))))>
#<alt (- 1 (/ 1 (exp (/ (log (/ 1 x)) n))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (* -1 (/ (log x) n))>
#<alt (/ (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (* 1/2 (/ (pow (log x) 2) n)) (+ (* 1/2 (/ (pow (log x) 3) (pow n 2))) (/ (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) (pow n 2))))))) n)>
#<alt (/ (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (+ (* -1/2 (/ (* (pow (log x) 2) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) (pow n 3))) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (* -1/6 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) n)) (+ (* 1/2 (/ (pow (log x) 3) (pow n 2))) (+ (/ (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) (pow n 2)) (/ (* (log x) (+ (* -1/6 (pow (log x) 3)) (+ (* 1/2 (pow (log x) 3)) (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))))) (pow n 3))))))))))) n)>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))) n))) n))>
#<alt (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/2 (pow (log x) 3)) (* 1/6 (pow (log x) 3)))) n)) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n))) n))>
#<alt (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/2 (pow (log x) 3)) (* 1/6 (pow (log x) 3)))))) (+ (* -1/2 (* (pow (log x) 2) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/6 (pow (log x) 4)) (* 1/24 (pow (log x) 4))))) n)) (+ (* -1/2 (pow (log x) 3)) (* 1/6 (pow (log x) 3))))) n)) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n))) 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 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

126 calls:

TimeVariablePointExpression
37.0ms
n
@0
(* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
29.0ms
x
@0
(- 1 (pow x (/ 1 n)))
20.0ms
x
@-inf
(- 1 (pow x (/ 1 n)))
11.0ms
n
@inf
(* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
10.0ms
n
@0
(/ (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (- (log (+ 1 x)) (log x))) n)

rewrite296.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
3100×*-lowering-*.f32
3100×*-lowering-*.f64
2012×/-lowering-/.f32
2012×/-lowering-/.f64
1792×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053300
1410271
24535271
08201271
Stop Event
1×iter limit
1×node limit
Counts
24 → 610
Calls
Call 1
Inputs
(/ (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (- (log (+ 1 x)) (log x))) n)
(+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (- (log (+ 1 x)) (log x)))
(* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
(/ 1/2 n)
(- 1 (pow x (/ 1 n)))
(pow x (/ 1 n))
(/ 1 n)
(+ (+ 1 (/ -1 (pow x (/ -1 n)))) (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))))
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))
(+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))
(* x (+ (/ 1/2 (* n n)) (/ -1/2 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)))
(* (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (/ 1 (pow x (/ -1 n))) x))
(/ (/ 1 (pow x (/ -1 n))) n)
(/ (- (pow (+ x 1) (/ 3 n)) (pow x (/ 3 n))) (+ (pow (+ x 1) (/ 2 n)) (+ (pow x (/ 2 n)) (pow (* x (+ x 1)) (/ 1 n)))))
(- (pow (+ x 1) (/ 3 n)) (pow x (/ 3 n)))
(pow (+ x 1) (/ 3 n))
(+ x 1)
(pow (log x) 2)
(- (log (+ 1 x)) (log x))
(+ 1 (/ -1 (pow x (/ -1 n))))
(/ 1/2 (* n n))
(pow (+ x 1) (/ 2 n))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 n (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (+.f64 (log1p.f64 x) (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64)))) n) (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (-.f64 #s(literal 0 binary64) n)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))) (*.f64 n (+.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))) (*.f64 n (-.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
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(/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x))) (*.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))))
(pow.f64 (/.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (*.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) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 3 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) (*.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) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (neg.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 2 binary64) n))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 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 1/2 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) n)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n n) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 n n) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 n n) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 n n)))
(/.f64 (/.f64 #s(literal -1/2 binary64) n) (-.f64 #s(literal 0 binary64) n))
(pow.f64 (/.f64 (*.f64 n n) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 n (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 n n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 n n))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) n) #s(literal 1/2 binary64))
(exp.f64 (/.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) n))
(exp.f64 (*.f64 (log1p.f64 x) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) n)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (+.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 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 #s(literal 2 binary64) n))
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(pow.f64 (pow.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n))
(pow.f64 (pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 #s(literal 1 binary64) n)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (log1p.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (pow.f64 (exp.f64 (log1p.f64 x)) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) n))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))))

simplify455.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
4166×*-lowering-*.f32
4166×*-lowering-*.f64
3796×+-lowering-+.f64
3796×+-lowering-+.f32
2746×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0163515661
1573015518
0807815518
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2)))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) (* n x)))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)
(- (log (+ 1 x)) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(- (log (+ 1 x)) (log x))
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1
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Outputs
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(exp.f64 (/.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) n))
(exp (* 2 (/ (log (+ 1 x)) n)))
(exp.f64 (/.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (log (+ 1 x)) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) 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 #s(literal 4/3 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 n (*.f64 n n)))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ (log (+ 1 x)) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64)) 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 (log1p.f64 x) #s(literal -2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4/3 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n)) n)) n)))

eval173.0ms (0.4%)

Compiler

Compiled 52562 to 4325 computations (91.8% saved)

prune158.0ms (0.4%)

Pruning

42 alts after pruning (40 fresh and 2 done)

PrunedKeptTotal
New1239321271
Fresh3811
Picked415
Done011
Total1246421288
Accuracy
100.0%
Counts
1288 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
51.8%
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) 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)))))) (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) n)) n)
68.9%
(/.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 n (-.f64 (log1p.f64 x) (log.f64 x)))) n) n)
47.8%
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 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)))))
58.2%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
38.7%
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))) (*.f64 n (-.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
25.7%
(/.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)))))
38.9%
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
▶32.1%
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
62.8%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
25.9%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
▶25.9%
(/.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))))
29.1%
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n))
32.7%
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))) (*.f64 n (+.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))))))))
41.1%
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
43.6%
(/.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)
52.7%
(/.f64 (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)
30.1%
(/.f64 (+.f64 (/.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 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x))) x)
▶69.6%
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) n)
5.2%
(/.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))
40.8%
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
35.5%
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64)))))))
▶29.2%
(/.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))) n))) (*.f64 (*.f64 x n) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))) n)))))
9.8%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
52.6%
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
✓54.5%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
43.8%
(-.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
29.7%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
16.2%
(-.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)))
58.7%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓39.5%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶33.1%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
39.1%
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))
23.1%
(+.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) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) n))) n)))
28.0%
(+.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 1/2 binary64) x) (*.f64 n n))))
12.6%
(+.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 (*.f64 (+.f64 (*.f64 n (*.f64 n #s(literal -1/2 binary64))) (/.f64 n #s(literal 2 binary64))) x) (*.f64 n (*.f64 n n))))))
18.4%
(+.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 (*.f64 #s(literal 1/2 binary64) x) (*.f64 n n)))))
52.6%
(*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
5.2%
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x))
5.6%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n))))
62.7%
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
32.5%
(neg.f64 (/.f64 (log.f64 x) n))
Compiler

Compiled 2268 to 1170 computations (48.4% saved)

simplify169.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff6592
(*.f64 (*.f64 x n) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))) n))))
✓cost-diff6592
(exp.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))) n))
✓cost-diff6592
(*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))) n)))
✓cost-diff20160
(/.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))) n))) (*.f64 (*.f64 x n) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))) n)))))
✓cost-diff0
(/.f64 #s(literal 2 binary64) n)
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
✓cost-diff0
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))
✓cost-diff0
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
✓cost-diff128
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) n)
✓cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
✓cost-diff64
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
✓cost-diff64
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) n)
Rules
3116×*-lowering-*.f32
3116×*-lowering-*.f64
2006×fnmadd-define
2004×sum3-define
1302×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
049314
1112287
2304284
3874267
42422264
56401264
08663264
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (neg (log (/ x (+ 1 x))))) n)
(+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (neg (log (/ x (+ 1 x)))))
(* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
(/ 1/2 n)
1/2
n
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log (+ 1 x)) 2)
(log (+ 1 x))
x
2
(pow (log x) 2)
(log x)
(neg (log (/ x (+ 1 x))))
(log (/ x (+ 1 x)))
(/ x (+ 1 x))
(+ 1 x)
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 (pow x (/ 2 n))) (+ 1 (pow x (/ 1 n))))
(- 1 (pow x (/ 2 n)))
1
(pow x (/ 2 n))
x
(/ 2 n)
2
n
(+ 1 (pow x (/ 1 n)))
(pow x (/ 1 n))
(/ 1 n)
(/ (* 3 (exp (/ (* -3 (* (log x) -1)) n))) (* (* x n) (* 3 (exp (/ (* -2 (* (log x) -1)) n)))))
(* 3 (exp (/ (* -3 (* (log x) -1)) n)))
3
(exp (/ (* -3 (* (log x) -1)) n))
(/ (* -3 (* (log x) -1)) n)
(* -3 (* (log x) -1))
-3
(* (log x) -1)
(log x)
x
-1
n
(* (* x n) (* 3 (exp (/ (* -2 (* (log x) -1)) n))))
(* x n)
(* 3 (exp (/ (* -2 (* (log x) -1)) n)))
(exp (/ (* -2 (* (log x) -1)) n))
(/ (* -2 (* (log x) -1)) n)
(* -2 (* (log x) -1))
-2
Outputs
(/ (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (neg (log (/ x (+ 1 x))))) n)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n)
(+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (neg (log (/ x (+ 1 x)))))
(-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
1/2
#s(literal 1/2 binary64)
n
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log (+ 1 x)) 2)
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
(log (+ 1 x))
(log1p.f64 x)
x
2
#s(literal 2 binary64)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log x)
(log.f64 x)
(neg (log (/ x (+ 1 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))
(log (/ x (+ 1 x)))
(log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
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 (pow x (/ 2 n))) (+ 1 (pow x (/ 1 n))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(- 1 (pow x (/ 2 n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
1
#s(literal 1 binary64)
(pow x (/ 2 n))
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
x
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
2
#s(literal 2 binary64)
n
(+ 1 (pow x (/ 1 n)))
(+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (* 3 (exp (/ (* -3 (* (log x) -1)) n))) (* (* x n) (* 3 (exp (/ (* -2 (* (log x) -1)) n)))))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x))
(* 3 (exp (/ (* -3 (* (log x) -1)) n)))
(/.f64 #s(literal 3 binary64) (pow.f64 x (/.f64 #s(literal -3 binary64) n)))
3
#s(literal 3 binary64)
(exp (/ (* -3 (* (log x) -1)) n))
(pow.f64 x (/.f64 #s(literal 3 binary64) n))
(/ (* -3 (* (log x) -1)) n)
(*.f64 #s(literal 3 binary64) (/.f64 (log.f64 x) n))
(* -3 (* (log x) -1))
(*.f64 (log.f64 x) #s(literal 3 binary64))
-3
#s(literal -3 binary64)
(* (log x) -1)
(-.f64 #s(literal 0 binary64) (log.f64 x))
(log x)
(log.f64 x)
x
-1
#s(literal -1 binary64)
n
(* (* x n) (* 3 (exp (/ (* -2 (* (log x) -1)) n))))
(*.f64 (*.f64 n #s(literal 3 binary64)) (pow.f64 x (+.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))))
(* x n)
(*.f64 n x)
(* 3 (exp (/ (* -2 (* (log x) -1)) n)))
(/.f64 #s(literal 3 binary64) (pow.f64 x (/.f64 #s(literal -2 binary64) n)))
(exp (/ (* -2 (* (log x) -1)) n))
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
(/ (* -2 (* (log x) -1)) n)
(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n))
(* -2 (* (log x) -1))
(*.f64 #s(literal 2 binary64) (log.f64 x))
-2
#s(literal -2 binary64)

localize843.0ms (2%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))) n)
✓accuracy99.9%
(*.f64 (*.f64 x n) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))) n))))
✓accuracy99.9%
(*.f64 #s(literal -3 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64)))
✓accuracy99.6%
(/.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))) n))) (*.f64 (*.f64 x n) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))) n)))))
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) n)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy85.8%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(log.f64 x)
✓accuracy99.9%
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓accuracy99.9%
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
✓accuracy99.9%
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) n)
✓accuracy99.9%
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
✓accuracy99.9%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
Results
679.0ms154×5exit
44.0ms39×1valid
32.0ms62×0unsamplable
1.0ms1×0valid
Compiler

Compiled 331 to 49 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 598.0ms
ival-log: 208.0ms (34.8% of total)
ival-pow: 121.0ms (20.2% of total)
backward-pass: 70.0ms (11.7% of total)
ival-div: 66.0ms (11% of total)
ival-mult: 50.0ms (8.4% of total)
ival-add: 24.0ms (4% of total)
ival-sub: 19.0ms (3.2% of total)
compiled-spec: 18.0ms (3% of total)
ival-exp: 12.0ms (2% of total)
ival-neg: 5.0ms (0.8% of total)
const: 3.0ms (0.5% of total)

series60.0ms (0.1%)

Counts
25 → 444
Calls
Call 1
Inputs
#<alt (/ (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (neg (log (/ x (+ 1 x))))) n)>
#<alt (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (neg (log (/ x (+ 1 x)))))>
#<alt (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))>
#<alt (/ 1/2 n)>
#<alt (- 1 1)>
#<alt (/ (- (* x (+ 1 (* x -1/2))) (log x)) n)>
#<alt (- (* x (+ 1 (* x -1/2))) (log x))>
#<alt (* x (+ 1 (* x -1/2)))>
#<alt (+ 1 (* x -1/2))>
#<alt (/ (- 1 (pow x (/ 2 n))) (+ 1 (pow x (/ 1 n))))>
#<alt (- 1 (pow x (/ 2 n)))>
#<alt (pow x (/ 2 n))>
#<alt (/ 2 n)>
#<alt (/ (* 3 (exp (/ (* -3 (* (log x) -1)) n))) (* (* x n) (* 3 (exp (/ (* -2 (* (log x) -1)) n)))))>
#<alt (* 3 (exp (/ (* -3 (* (log x) -1)) n)))>
#<alt (exp (/ (* -3 (* (log x) -1)) n))>
#<alt (* (* x n) (* 3 (exp (/ (* -2 (* (log x) -1)) n))))>
#<alt (pow (log x) 2)>
#<alt (- (pow (log (+ 1 x)) 2) (pow (log x) 2))>
#<alt (log x)>
#<alt (* x -1/2)>
#<alt (+ 1 (pow x (/ 1 n)))>
#<alt (/ 1 n)>
#<alt (* -3 (* (log x) -1))>
#<alt (/ (* -2 (* (log x) -1)) n)>
Outputs
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2)))>
#<alt (/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))>
#<alt (/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))>
#<alt (/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)>
#<alt (/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)>
#<alt (/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))>
#<alt (* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))>
#<alt (* -1 (/ (+ (log (/ x (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n))>
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) (* n x)))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)>
#<alt (/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)>
#<alt (/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)>
#<alt (* -1 (log (/ x (+ 1 x))))>
#<alt (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (/ x (+ 1 x))))>
#<alt (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (/ x (+ 1 x))))>
#<alt (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (/ x (+ 1 x))))>
#<alt (* -1 (log (/ x (+ 1 x))))>
#<alt (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (/ x (+ 1 x))))>
#<alt (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (/ x (+ 1 x))))>
#<alt (- (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (/ x (+ 1 x))))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))>
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) x))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n)))) 1/4) x)) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (+ (* -1/2 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow x 2) n)))>
#<alt (+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* -1/2 (/ x n)) (* 1/2 (/ 1 n)))))>
#<alt (+ (* -1/2 (/ (pow (log x) 2) n)) (* (pow x 2) (+ (* x (- (* 11/24 (/ x n)) (* 1/2 (/ 1 n)))) (* 1/2 (/ 1 n)))))>
#<alt (* -1 (/ (log (/ 1 x)) (* n x)))>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))) x)>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))))) x)>
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2)))))) x)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) x)) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) x))) x))>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 n)>
#<alt (/ 1/2 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 (+ (* -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)) (/ (log (/ 1 x)) (* n (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (/ 1 (* n x)) (/ (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 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (/ 1 n)) x)) (* 1/2 (/ 1 n))))>
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#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))>
#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x))>
#<alt (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)))) x))) x))>
#<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 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt 2>
#<alt (+ 2 (/ (log x) n))>
#<alt (+ 2 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 2 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))>
#<alt 2>
#<alt (+ 2 (/ (log x) n))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))>
#<alt (/ 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 (* 3 (log x))>
#<alt (* 3 (log x))>
#<alt (* 3 (log x))>
#<alt (* 3 (log x))>
#<alt (* -3 (log (/ 1 x)))>
#<alt (* -3 (log (/ 1 x)))>
#<alt (* -3 (log (/ 1 x)))>
#<alt (* -3 (log (/ 1 x)))>
#<alt (* 3 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* 3 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* 3 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* 3 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* 2 (/ (log x) n))>
#<alt (* 2 (/ (log x) n))>
#<alt (* 2 (/ (log x) n))>
#<alt (* 2 (/ (log x) n))>
#<alt (* -2 (/ (log (/ 1 x)) n))>
#<alt (* -2 (/ (log (/ 1 x)) n))>
#<alt (* -2 (/ (log (/ 1 x)) n))>
#<alt (* -2 (/ (log (/ 1 x)) n))>
#<alt (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (* 2 (/ (log x) n))>
#<alt (* 2 (/ (log x) n))>
#<alt (* 2 (/ (log x) n))>
#<alt (* 2 (/ (log x) n))>
#<alt (* 2 (/ (log x) n))>
#<alt (* 2 (/ (log x) n))>
#<alt (* 2 (/ (log x) n))>
#<alt (* 2 (/ (log x) n))>
#<alt (* 2 (/ (log x) n))>
#<alt (* 2 (/ (log x) n))>
#<alt (* 2 (/ (log x) n))>
#<alt (* 2 (/ (log x) n))>
Calls

111 calls:

TimeVariablePointExpression
8.0ms
n
@0
(/ (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (neg (log (/ x (+ 1 x))))) n)
6.0ms
x
@-inf
(/ (* 3 (exp (/ (* -3 (* (log x) -1)) n))) (* (* x n) (* 3 (exp (/ (* -2 (* (log x) -1)) n)))))
4.0ms
n
@inf
(exp (/ (* -3 (* (log x) -1)) n))
4.0ms
x
@inf
(/ (* 3 (exp (/ (* -3 (* (log x) -1)) n))) (* (* x n) (* 3 (exp (/ (* -2 (* (log x) -1)) n)))))
4.0ms
x
@-inf
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))

rewrite313.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
4124×*-lowering-*.f32
4124×*-lowering-*.f64
2376×/-lowering-/.f32
2376×/-lowering-/.f64
2298×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049220
1269185
22352185
08848185
Stop Event
1×iter limit
1×node limit
Counts
25 → 770
Calls
Call 1
Inputs
(/ (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (neg (log (/ x (+ 1 x))))) n)
(+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (neg (log (/ x (+ 1 x)))))
(* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
(/ 1/2 n)
(- 1 1)
(/ (- (* x (+ 1 (* x -1/2))) (log x)) n)
(- (* x (+ 1 (* x -1/2))) (log x))
(* x (+ 1 (* x -1/2)))
(+ 1 (* x -1/2))
(/ (- 1 (pow x (/ 2 n))) (+ 1 (pow x (/ 1 n))))
(- 1 (pow x (/ 2 n)))
(pow x (/ 2 n))
(/ 2 n)
(/ (* 3 (exp (/ (* -3 (* (log x) -1)) n))) (* (* x n) (* 3 (exp (/ (* -2 (* (log x) -1)) n)))))
(* 3 (exp (/ (* -3 (* (log x) -1)) n)))
(exp (/ (* -3 (* (log x) -1)) n))
(* (* x n) (* 3 (exp (/ (* -2 (* (log x) -1)) n))))
(pow (log x) 2)
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(log x)
(* x -1/2)
(+ 1 (pow x (/ 1 n)))
(/ 1 n)
(* -3 (* (log x) -1))
(/ (* -2 (* (log x) -1)) n)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 n (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) n) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n))
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (-.f64 #s(literal 0 binary64) n)))
(neg.f64 (/.f64 (+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))))) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))))
(/.f64 (+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))) (*.f64 n (+.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (*.f64 n (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64)))))) n))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64)))))) (-.f64 #s(literal 0 binary64) n)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) n))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 0 binary64) n)))
(/.f64 (neg.f64 (+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal 1 binary64)) n)
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))))
(pow.f64 (/.f64 n (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))
(*.f64 (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64)))
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(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x)))) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(/.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (/.f64 n #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)) n)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))) (*.f64 (/.f64 n (log.f64 x)) #s(literal 1 binary64))) (*.f64 (/.f64 n (log.f64 x)) (/.f64 n (log.f64 x))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 n (log.f64 x)) (log.f64 x))) (*.f64 (/.f64 n (log.f64 x)) n))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) n)) (*.f64 (/.f64 n (log.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 n (log.f64 x)) (-.f64 #s(literal 0 binary64) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 n (log.f64 x)) (*.f64 (log.f64 x) #s(literal 1 binary64)))) (*.f64 (/.f64 n (log.f64 x)) n))
(/.f64 (+.f64 (*.f64 (log.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x))))
(/.f64 (+.f64 (*.f64 (log.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(/.f64 (+.f64 (*.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) (*.f64 n (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 n (-.f64 #s(literal 0 binary64) n)))
(/.f64 (+.f64 (*.f64 (log.f64 x) n) (*.f64 n (*.f64 (log.f64 x) #s(literal 1 binary64)))) (*.f64 n n))
(/.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 n (log.f64 x))) (*.f64 (-.f64 #s(literal 0 binary64) n) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 n (log.f64 x))))
(/.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) n) (*.f64 (-.f64 #s(literal 0 binary64) n) (log.f64 x))) (*.f64 (-.f64 #s(literal 0 binary64) n) n))
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(*.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n))
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(*.f64 (/.f64 #s(literal 2 binary64) n) (log.f64 x))
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(*.f64 #s(literal -2 binary64) (*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n)))
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(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -2 binary64) n))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) n)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n)) (log.f64 (*.f64 x x)))
(*.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) n))
(*.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n)) #s(literal -2 binary64))
(*.f64 (*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n)) (log.f64 (exp.f64 #s(literal -2 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) n)) (log.f64 x))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n))) (log.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n))) (log.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))

simplify301.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
4790×+-lowering-+.f64
4790×+-lowering-+.f32
3422×*-lowering-*.f32
3422×*-lowering-*.f64
1760×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08426415
128576112
082186112
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2)))
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))
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(/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)
(/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)
(/ (+ (* -1 (log (/ x (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)
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(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)
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(/ (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))))) x)
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x
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(* (pow x 2) (- (/ 1 x) 1/2))
(* (pow x 2) (- (/ 1 x) 1/2))
1
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(* -1 (/ (log x) n))
(* -1 (/ (+ (log x) (* -1 (/ (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2))) n))) n))
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(* -1 (/ (+ (log x) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/3 (pow (log x) 4)) (+ (* -1/2 (* (log x) (- (* 2/3 (pow (log x) 3)) (+ (* -1/2 (* (log x) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2))))) (* 1/4 (pow (log x) 3)))))) (+ (* -1/12 (pow (log x) 4)) (* 1/4 (* (pow (log x) 2) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2)))))))) n)) (* 2/3 (pow (log x) 3))) (+ (* -1/2 (* (log x) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2))))) (* 1/4 (pow (log x) 3)))) n)) (* -1 (pow (log x) 2))) (* -1/2 (pow (log x) 2))) n))) n))
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(- 1 (exp (* 2 (/ (log x) n))))
(- 1 (exp (* 2 (/ (log x) n))))
(- 1 (exp (* 2 (/ (log x) n))))
(- 1 (exp (* 2 (/ (log x) n))))
(* -2 (/ (log x) n))
(/ (- (* -2 (/ (pow (log x) 2) n)) (* 2 (log x))) n)
(/ (- (* -4/3 (/ (pow (log x) 3) (pow n 2))) (+ (* 2 (log x)) (* 2 (/ (pow (log x) 2) n)))) 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)
(* -2 (/ (log x) n))
(* -1 (/ (- (* 2 (/ (pow (log x) 2) n)) (* -2 (log x))) n))
(* -1 (/ (- (* -1 (/ (- (* -4/3 (/ (pow (log x) 3) n)) (* 2 (pow (log x) 2))) n)) (* -2 (log x))) n))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow (log x) 4) n)) (* -4/3 (pow (log x) 3))) n)) (* 2 (pow (log x) 2))) n)) (* -2 (log x))) n))
(exp (* 2 (/ (log x) n)))
(exp (* 2 (/ (log x) n)))
(exp (* 2 (/ (log x) n)))
(exp (* 2 (/ (log x) n)))
(exp (* -2 (/ (log (/ 1 x)) n)))
(exp (* -2 (/ (log (/ 1 x)) n)))
(exp (* -2 (/ (log (/ 1 x)) n)))
(exp (* -2 (/ (log (/ 1 x)) n)))
(exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 2 (/ (log x) n)))
(exp (* 2 (/ (log x) n)))
(exp (* 2 (/ (log x) n)))
(exp (* 2 (/ (log x) n)))
1
(+ 1 (* 2 (/ (log x) n)))
(+ 1 (+ (* 2 (/ (log x) n)) (* 2 (/ (pow (log x) 2) (pow n 2)))))
(+ 1 (+ (* 4/3 (/ (pow (log x) 3) (pow n 3))) (+ (* 2 (/ (log x) n)) (* 2 (/ (pow (log x) 2) (pow n 2))))))
1
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(+ 1 (* -1 (/ (+ (* -2 (log x)) (* -1 (/ (+ (* 4/3 (/ (pow (log x) 3) n)) (* 2 (pow (log x) 2))) n))) n)))
(/ 2 n)
(/ 2 n)
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(/ 2 n)
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(/ 2 n)
(/ 2 n)
(/ 2 n)
(/ 2 n)
(/ 2 n)
(/ (exp (* 3 (/ (log x) n))) (* n (* x (exp (* 2 (/ (log x) n))))))
(/ (exp (* 3 (/ (log x) n))) (* n (* x (exp (* 2 (/ (log x) n))))))
(/ (exp (* 3 (/ (log x) n))) (* n (* x (exp (* 2 (/ (log x) n))))))
(/ (exp (* 3 (/ (log x) n))) (* n (* x (exp (* 2 (/ (log x) n))))))
(/ (exp (* -3 (/ (log (/ 1 x)) n))) (* n (* x (exp (* -2 (/ (log (/ 1 x)) n))))))
(/ (exp (* -3 (/ (log (/ 1 x)) n))) (* n (* x (exp (* -2 (/ (log (/ 1 x)) n))))))
(/ (exp (* -3 (/ (log (/ 1 x)) n))) (* n (* x (exp (* -2 (/ (log (/ 1 x)) n))))))
(/ (exp (* -3 (/ (log (/ 1 x)) n))) (* n (* x (exp (* -2 (/ (log (/ 1 x)) n))))))
(/ (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n (* x (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n (* x (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n (* x (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n (* x (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ (exp (* 3 (/ (log x) n))) (* n (* x (exp (* 2 (/ (log x) n))))))
(/ (exp (* 3 (/ (log x) n))) (* n (* x (exp (* 2 (/ (log x) n))))))
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(/ (exp (* 3 (/ (log x) n))) (* n (* x (exp (* 2 (/ (log x) n))))))
(/ 1 (* n x))
(/ (- (+ (* 3 (/ (log x) (* n x))) (/ 1 x)) (* 2 (/ (log x) (* n x)))) n)
(/ (- (+ (* 3 (/ (log x) (* n x))) (+ (* 9/2 (/ (pow (log x) 2) (* (pow n 2) x))) (/ 1 x))) (+ (* 2 (/ (log x) (* n x))) (+ (* 2 (/ (* (log x) (- (* 3 (/ (log x) x)) (* 2 (/ (log x) x)))) (pow n 2))) (* 2 (/ (pow (log x) 2) (* (pow n 2) x)))))) n)
(/ (- (+ (* 3 (/ (log x) (* n x))) (+ (* 9/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* 9/2 (/ (pow (log x) 3) (* (pow n 3) x))) (/ 1 x)))) (+ (* 4/3 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 2 (/ (log x) (* n x))) (+ (* 2 (/ (* (log x) (- (* 3 (/ (log x) x)) (* 2 (/ (log x) x)))) (pow n 2))) (+ (* 2 (/ (* (log x) (- (* 9/2 (/ (pow (log x) 2) x)) (+ (* 2 (* (log x) (- (* 3 (/ (log x) x)) (* 2 (/ (log x) x))))) (* 2 (/ (pow (log x) 2) x))))) (pow n 3))) (+ (* 2 (/ (* (pow (log x) 2) (- (* 3 (/ (log x) x)) (* 2 (/ (log x) x)))) (pow n 3))) (* 2 (/ (pow (log x) 2) (* (pow n 2) x))))))))) n)
(/ 1 (* n x))
(* -1 (/ (- (* -3 (/ (log x) (* n x))) (+ (* -2 (/ (log x) (* n x))) (/ 1 x))) n))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* -3 (/ (log x) x)) (* -2 (/ (log x) x)))) (* 9/2 (/ (pow (log x) 2) (* n x)))) (+ (* -2 (/ (* (log x) (- (* -3 (/ (log x) x)) (* -2 (/ (log x) x)))) n)) (* 2 (/ (pow (log x) 2) (* n x))))) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -3 (/ (log x) x)) (* -2 (/ (log x) x)))) (* -1 (/ (- (+ (* -9/2 (/ (pow (log x) 3) (* n x))) (* -1 (- (* 9/2 (/ (pow (log x) 2) x)) (+ (* -2 (* (log x) (- (* -3 (/ (log x) x)) (* -2 (/ (log x) x))))) (* 2 (/ (pow (log x) 2) x)))))) (+ (* -2 (/ (* (log x) (- (* 9/2 (/ (pow (log x) 2) x)) (+ (* -2 (* (log x) (- (* -3 (/ (log x) x)) (* -2 (/ (log x) x))))) (* 2 (/ (pow (log x) 2) x))))) n)) (+ (* -4/3 (/ (pow (log x) 3) (* n x))) (* 2 (/ (* (pow (log x) 2) (- (* -3 (/ (log x) x)) (* -2 (/ (log x) x)))) n))))) n))) n)) (/ 1 x)) n))
(* 3 (exp (* 3 (/ (log x) n))))
(* 3 (exp (* 3 (/ (log x) n))))
(* 3 (exp (* 3 (/ (log x) n))))
(* 3 (exp (* 3 (/ (log x) n))))
(* 3 (exp (* -3 (/ (log (/ 1 x)) n))))
(* 3 (exp (* -3 (/ (log (/ 1 x)) n))))
(* 3 (exp (* -3 (/ (log (/ 1 x)) n))))
(* 3 (exp (* -3 (/ (log (/ 1 x)) n))))
(* 3 (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
(* 3 (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
(* 3 (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
(* 3 (exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
(* 3 (exp (* 3 (/ (log x) n))))
(* 3 (exp (* 3 (/ (log x) n))))
(* 3 (exp (* 3 (/ (log x) n))))
(* 3 (exp (* 3 (/ (log x) n))))
3
(+ 3 (* 9 (/ (log x) n)))
(+ 3 (+ (* 9 (/ (log x) n)) (* 27/2 (/ (pow (log x) 2) (pow n 2)))))
(+ 3 (+ (* 9 (/ (log x) n)) (+ (* 27/2 (/ (pow (log x) 2) (pow n 2))) (* 27/2 (/ (pow (log x) 3) (pow n 3))))))
3
(+ 3 (* 9 (/ (log x) n)))
(+ 3 (* -1 (/ (+ (* -27/2 (/ (pow (log x) 2) n)) (* -9 (log x))) n)))
(+ 3 (* -1 (/ (+ (* -9 (log x)) (* -1 (/ (+ (* 27/2 (/ (pow (log x) 3) n)) (* 27/2 (pow (log x) 2))) n))) n)))
(exp (* 3 (/ (log x) n)))
(exp (* 3 (/ (log x) n)))
(exp (* 3 (/ (log x) n)))
(exp (* 3 (/ (log x) n)))
(exp (* -3 (/ (log (/ 1 x)) n)))
(exp (* -3 (/ (log (/ 1 x)) n)))
(exp (* -3 (/ (log (/ 1 x)) n)))
(exp (* -3 (/ (log (/ 1 x)) n)))
(exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 3 (/ (log x) n)))
(exp (* 3 (/ (log x) n)))
(exp (* 3 (/ (log x) n)))
(exp (* 3 (/ (log x) n)))
1
(+ 1 (* 3 (/ (log x) n)))
(+ 1 (+ (* 3 (/ (log x) n)) (* 9/2 (/ (pow (log x) 2) (pow n 2)))))
(+ 1 (+ (* 3 (/ (log x) n)) (+ (* 9/2 (/ (pow (log x) 2) (pow n 2))) (* 9/2 (/ (pow (log x) 3) (pow n 3))))))
1
(+ 1 (* 3 (/ (log x) n)))
(+ 1 (* -1 (/ (+ (* -9/2 (/ (pow (log x) 2) n)) (* -3 (log x))) n)))
(+ 1 (* -1 (/ (+ (* -3 (log x)) (* -1 (/ (+ (* 9/2 (/ (pow (log x) 3) n)) (* 9/2 (pow (log x) 2))) n))) n)))
(* 3 (* n (* x (exp (* 2 (/ (log x) n))))))
(* 3 (* n (* x (exp (* 2 (/ (log x) n))))))
(* 3 (* n (* x (exp (* 2 (/ (log x) n))))))
(* 3 (* n (* x (exp (* 2 (/ (log x) n))))))
(* 3 (* n (* x (exp (* -2 (/ (log (/ 1 x)) n))))))
(* 3 (* n (* x (exp (* -2 (/ (log (/ 1 x)) n))))))
(* 3 (* n (* x (exp (* -2 (/ (log (/ 1 x)) n))))))
(* 3 (* n (* x (exp (* -2 (/ (log (/ 1 x)) n))))))
(* 3 (* n (* x (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(* 3 (* n (* x (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(* 3 (* n (* x (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(* 3 (* n (* x (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(* 3 (* n (* x (exp (* 2 (/ (log x) n))))))
(* 3 (* n (* x (exp (* 2 (/ (log x) n))))))
(* 3 (* n (* x (exp (* 2 (/ (log x) n))))))
(* 3 (* n (* x (exp (* 2 (/ (log x) n))))))
(* 3 (* n x))
(* n (+ (* 3 x) (* 6 (/ (* x (log x)) n))))
(* n (+ (* 3 x) (+ (* 6 (/ (* x (log x)) n)) (* 6 (/ (* x (pow (log x) 2)) (pow n 2))))))
(* n (+ (* 3 x) (+ (* 4 (/ (* x (pow (log x) 3)) (pow n 3))) (+ (* 6 (/ (* x (log x)) n)) (* 6 (/ (* x (pow (log x) 2)) (pow n 2)))))))
(* 3 (* n x))
(* -1 (* n (+ (* -6 (/ (* x (log x)) n)) (* -3 x))))
(* -1 (* n (+ (* -3 x) (* -1 (/ (+ (* 6 (* x (log x))) (* 6 (/ (* x (pow (log x) 2)) n))) n)))))
(* -1 (* n (+ (* -3 x) (* -1 (/ (+ (* -1 (/ (+ (* -6 (* x (pow (log x) 2))) (* -4 (/ (* x (pow (log x) 3)) n))) n)) (* 6 (* x (log x)))) n)))))
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(* -1 (pow (log x) 2))
(- (pow x 2) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2))
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2))
(* -2 (/ (log (/ 1 x)) x))
(/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x)
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x)
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x))
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x))
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)))) x))) x))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(+ 1 (exp (/ (log x) n)))
(+ 1 (exp (/ (log x) n)))
(+ 1 (exp (/ (log x) n)))
(+ 1 (exp (/ (log x) n)))
(+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(+ 1 (exp (/ (log x) n)))
(+ 1 (exp (/ (log x) n)))
(+ 1 (exp (/ (log x) n)))
(+ 1 (exp (/ (log x) n)))
2
(+ 2 (/ (log x) n))
(+ 2 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+ 2 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
2
(+ 2 (/ (log x) n))
(+ 2 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 2 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(* 3 (log x))
(* 3 (log x))
(* 3 (log x))
(* 3 (log x))
(* -3 (log (/ 1 x)))
(* -3 (log (/ 1 x)))
(* -3 (log (/ 1 x)))
(* -3 (log (/ 1 x)))
(* 3 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 3 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 3 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 3 (+ (log -1) (* -1 (log (/ -1 x)))))
(* 2 (/ (log x) n))
(* 2 (/ (log x) n))
(* 2 (/ (log x) n))
(* 2 (/ (log x) n))
(* -2 (/ (log (/ 1 x)) n))
(* -2 (/ (log (/ 1 x)) n))
(* -2 (/ (log (/ 1 x)) n))
(* -2 (/ (log (/ 1 x)) n))
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(* 2 (/ (log x) n))
(* 2 (/ (log x) n))
(* 2 (/ (log x) n))
(* 2 (/ (log x) n))
(* 2 (/ (log x) n))
(* 2 (/ (log x) n))
(* 2 (/ (log x) n))
(* 2 (/ (log x) n))
(* 2 (/ (log x) n))
(* 2 (/ (log x) n))
(* 2 (/ (log x) n))
(* 2 (/ (log x) n))
Outputs
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n))
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))
(/.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 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 n n))
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))
(/.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 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 n n))
(/ (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) (pow n 2))
(/.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 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 n n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
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(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)))
(+ 2 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (*.f64 n n))))))
2
#s(literal 2 binary64)
(+ 2 (/ (log x) n))
(+.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n))
(+ 2 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) n))
(+ 2 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (/.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(* 3 (log x))
(*.f64 (log.f64 x) #s(literal 3 binary64))
(* 3 (log x))
(*.f64 (log.f64 x) #s(literal 3 binary64))
(* 3 (log x))
(*.f64 (log.f64 x) #s(literal 3 binary64))
(* 3 (log x))
(*.f64 (log.f64 x) #s(literal 3 binary64))
(* -3 (log (/ 1 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -3 binary64))
(* -3 (log (/ 1 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -3 binary64))
(* -3 (log (/ 1 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -3 binary64))
(* -3 (log (/ 1 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -3 binary64))
(* 3 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 #s(literal 3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(* 3 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 #s(literal 3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(* 3 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 #s(literal 3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(* 3 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 #s(literal 3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(* 2 (/ (log x) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(* 2 (/ (log x) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(* 2 (/ (log x) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(* 2 (/ (log x) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(* -2 (/ (log (/ 1 x)) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(* -2 (/ (log (/ 1 x)) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(* -2 (/ (log (/ 1 x)) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(* -2 (/ (log (/ 1 x)) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) n)
(* 2 (/ (log x) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(* 2 (/ (log x) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(* 2 (/ (log x) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(* 2 (/ (log x) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(* 2 (/ (log x) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(* 2 (/ (log x) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(* 2 (/ (log x) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(* 2 (/ (log x) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(* 2 (/ (log x) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(* 2 (/ (log x) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(* 2 (/ (log x) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)
(* 2 (/ (log x) n))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) n)

eval139.0ms (0.3%)

Compiler

Compiled 39362 to 4004 computations (89.8% saved)

prune133.0ms (0.3%)

Pruning

41 alts after pruning (38 fresh and 3 done)

PrunedKeptTotal
New1257201277
Fresh171835
Picked415
Done022
Total1278411319
Accuracy
100.0%
Counts
1319 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.1%
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))))) n)
30.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
▶40.6%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)
58.2%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
25.7%
(/.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)))))
▶38.9%
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log.f64 x)) n)
32.0%
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
27.9%
(/.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))
32.6%
(/.f64 (-.f64 x (log.f64 x)) n)
25.9%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
✓25.9%
(/.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))))
41.1%
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
43.6%
(/.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)
5.2%
(/.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))
31.6%
(/.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 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
3.8%
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
57.6%
(/.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))) n))) (*.f64 (*.f64 x n) #s(literal 3 binary64)))
9.8%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
▶63.1%
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
52.6%
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
40.3%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
✓54.5%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
43.8%
(-.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
29.7%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
16.2%
(-.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)))
58.7%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓39.5%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
39.1%
(+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 n n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))
▶23.1%
(+.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) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) n))) n)))
28.0%
(+.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 1/2 binary64) x) (*.f64 n n))))
12.6%
(+.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 (*.f64 (+.f64 (*.f64 n (*.f64 n #s(literal -1/2 binary64))) (/.f64 n #s(literal 2 binary64))) x) (*.f64 n (*.f64 n n))))))
18.4%
(+.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 (*.f64 #s(literal 1/2 binary64) x) (*.f64 n n)))))
31.6%
(*.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 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
32.0%
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))) #s(literal -1 binary64)))
32.1%
(*.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)))
52.7%
(*.f64 (+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) n)))
6.9%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
21.3%
(*.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))))
62.7%
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
32.5%
(neg.f64 (/.f64 (log.f64 x) n))
▶33.1%
#s(literal 0 binary64)
Compiler

Compiled 1771 to 1027 computations (42% saved)

simplify111.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n)
✓cost-diff6336
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log.f64 x))
✓cost-diff6336
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log.f64 x)) n)
✓cost-diff128
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) n)))
✓cost-diff128
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) n))) n)
✓cost-diff128
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) n))) n))
✓cost-diff128
(+.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) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) n))) n)))
✓cost-diff0
(/.f64 (log.f64 x) n)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)
✓cost-diff-64
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
✓cost-diff0
(+.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 x (+.f64 #s(literal 1 binary64) x))
✓cost-diff0
(log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))
Rules
1728×*-lowering-*.f32
1728×*-lowering-*.f64
1608×sum4-define
1112×fmsub-define
1054×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035218
169216
2141209
3283207
4563207
5900207
61993207
75021207
08212207
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (log (/ x (+ 1 x))) (neg n))
(log (/ x (+ 1 x)))
(/ x (+ 1 x))
x
(+ 1 x)
1
(neg n)
n
0
(/ (/ (+ 1 (/ (log x) n)) x) n)
(/ (+ 1 (/ (log x) n)) x)
(+ 1 (/ (log x) n))
1
(/ (log x) n)
(log x)
x
n
(+ (+ 1 (/ -1 (pow x (/ -1 n)))) (* x (/ (+ 1 (+ (* x -1/2) (/ (* 1/2 x) n))) n)))
(+ 1 (/ -1 (pow x (/ -1 n))))
1
(/ -1 (pow x (/ -1 n)))
-1
(pow x (/ -1 n))
x
(/ -1 n)
n
(* x (/ (+ 1 (+ (* x -1/2) (/ (* 1/2 x) n))) n))
(/ (+ 1 (+ (* x -1/2) (/ (* 1/2 x) n))) n)
(+ 1 (+ (* x -1/2) (/ (* 1/2 x) n)))
(+ (* x -1/2) (/ (* 1/2 x) n))
(* x -1/2)
-1/2
(/ (* 1/2 x) n)
(* 1/2 x)
1/2
(/ (- (/ (* (pow (log x) 2) -1/2) n) (log x)) n)
(- (/ (* (pow (log x) 2) -1/2) n) (log x))
(/ (* (pow (log x) 2) -1/2) n)
(* (pow (log x) 2) -1/2)
(pow (log x) 2)
(log x)
x
2
-1/2
n
Outputs
(/ (log (/ x (+ 1 x))) (neg n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(log (/ x (+ 1 x)))
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/ x (+ 1 x))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(neg n)
(-.f64 #s(literal 0 binary64) n)
n
0
#s(literal 0 binary64)
(/ (/ (+ 1 (/ (log x) n)) x) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/ (+ 1 (/ (log x) n)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)
(+ 1 (/ (log x) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
1
#s(literal 1 binary64)
(/ (log x) n)
(/.f64 (log.f64 x) n)
(log x)
(log.f64 x)
x
n
(+ (+ 1 (/ -1 (pow x (/ -1 n)))) (* x (/ (+ 1 (+ (* x -1/2) (/ (* 1/2 x) n))) n)))
(+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) n)))
(+ 1 (/ -1 (pow x (/ -1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
1
#s(literal 1 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
(* x (/ (+ 1 (+ (* x -1/2) (/ (* 1/2 x) n))) n))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) n)
(/ (+ 1 (+ (* x -1/2) (/ (* 1/2 x) n))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)
(+ 1 (+ (* x -1/2) (/ (* 1/2 x) n)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
(+ (* x -1/2) (/ (* 1/2 x) n))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ (* 1/2 x) n)
(*.f64 x (/.f64 #s(literal 1/2 binary64) n))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ (- (/ (* (pow (log x) 2) -1/2) n) (log x)) n)
(*.f64 (/.f64 (log.f64 x) n) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n)))
(- (/ (* (pow (log x) 2) -1/2) n) (log x))
(*.f64 (log.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n)))
(/ (* (pow (log x) 2) -1/2) n)
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))
(* (pow (log x) 2) -1/2)
(*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log x)
(log.f64 x)
x
2
#s(literal 2 binary64)
-1/2
#s(literal -1/2 binary64)
n

localize218.0ms (0.5%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log.f64 x))
✓accuracy99.7%
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log.f64 x)) n)
✓accuracy99.6%
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n)
✓accuracy99.3%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) n))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) n))) n)
✓accuracy99.0%
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) n))) n))
✓accuracy44.5%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
✓accuracy99.8%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)
✓accuracy99.7%
(/.f64 (log.f64 x) n)
✓accuracy99.6%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)
✓accuracy100.0%
(neg.f64 n)
✓accuracy100.0%
(/.f64 x (+.f64 #s(literal 1 binary64) x))
✓accuracy99.7%
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
✓accuracy59.4%
(log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))
Results
147.0ms190×1valid
11.0ms34×0unsamplable
11.0ms32×0valid
Compiler

Compiled 227 to 36 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-div: 30.0ms (26.7% of total)
ival-pow: 26.0ms (23.2% of total)
ival-log: 17.0ms (15.2% of total)
backward-pass: 12.0ms (10.7% of total)
ival-add: 12.0ms (10.7% of total)
ival-mult: 10.0ms (8.9% of total)
ival-sub: 2.0ms (1.8% of total)
ival-neg: 2.0ms (1.8% of total)
const: 1.0ms (0.9% of total)

series71.0ms (0.2%)

Counts
20 → 408
Calls
Call 1
Inputs
#<alt (log (/ x (+ 1 x)))>
#<alt (/ x (+ 1 x))>
#<alt (+ 1 x)>
#<alt (/ (log (/ x (+ 1 x))) (neg n))>
#<alt (/ (/ (+ 1 (/ (log x) n)) x) n)>
#<alt (/ (+ 1 (/ (log x) n)) x)>
#<alt (+ 1 (/ (log x) n))>
#<alt (/ (log x) n)>
#<alt (+ (+ 1 (/ -1 (pow x (/ -1 n)))) (* x (/ (+ 1 (+ (* x -1/2) (/ (* 1/2 x) n))) n)))>
#<alt (* x (/ (+ 1 (+ (* x -1/2) (/ (* 1/2 x) n))) n))>
#<alt (/ (+ 1 (+ (* x -1/2) (/ (* 1/2 x) n))) n)>
#<alt (+ 1 (+ (* x -1/2) (/ (* 1/2 x) n)))>
#<alt (/ (- (/ (* (pow (log x) 2) -1/2) n) (log x)) n)>
#<alt (- (/ (* (pow (log x) 2) -1/2) n) (log x))>
#<alt (/ (* (pow (log x) 2) -1/2) n)>
#<alt (* (pow (log x) 2) -1/2)>
#<alt (neg n)>
#<alt (+ 1 (/ -1 (pow x (/ -1 n))))>
#<alt (+ (* x -1/2) (/ (* 1/2 x) n))>
#<alt (pow (log x) 2)>
Outputs
#<alt (log x)>
#<alt (+ (log x) (* -1 x))>
#<alt (+ (log x) (* x (- (* 1/2 x) 1)))>
#<alt (+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))>
#<alt (/ -1 x)>
#<alt (/ (- (* 1/2 (/ 1 x)) 1) x)>
#<alt (/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- x 1))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* -1 (/ (log x) n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (/ 1 (* n x))>
#<alt (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)>
#<alt (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (/ (+ 1 (/ (log x) n)) (* n x))>
#<alt (/ (+ 1 (/ (log x) n)) (* n x))>
#<alt (/ (+ 1 (/ (log x) n)) (* n x))>
#<alt (/ (+ 1 (/ (log x) n)) (* n x))>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) (* n x))>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) (* n x))>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) (* n x))>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) (* n x))>
#<alt (/ (log x) (* (pow n 2) x))>
#<alt (/ (+ (/ n x) (/ (log x) x)) (pow n 2))>
#<alt (/ (+ (/ n x) (/ (log x) x)) (pow n 2))>
#<alt (/ (+ (/ n x) (/ (log x) x)) (pow n 2))>
#<alt (/ 1 (* n x))>
#<alt (/ (+ (/ 1 x) (/ (log x) (* n x))) n)>
#<alt (/ (+ (/ 1 x) (/ (log x) (* n x))) n)>
#<alt (/ (+ (/ 1 x) (/ (log x) (* n x))) n)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))>
#<alt (/ (+ 1 (/ (log x) n)) x)>
#<alt (/ (+ 1 (/ (log x) n)) x)>
#<alt (/ (+ 1 (/ (log x) n)) x)>
#<alt (/ (+ 1 (/ (log x) n)) x)>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) x)>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) x)>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) x)>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) x)>
#<alt (/ (log x) (* n x))>
#<alt (/ (+ (/ n x) (/ (log x) x)) n)>
#<alt (/ (+ (/ n x) (/ (log x) x)) n)>
#<alt (/ (+ (/ n x) (/ (log x) x)) n)>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ (log x) (* n x)))>
#<alt (+ (/ 1 x) (/ (log x) (* n x)))>
#<alt (+ (/ 1 x) (/ (log x) (* n x)))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ (log x) (* n x)))>
#<alt (+ (/ 1 x) (/ (log x) (* n x)))>
#<alt (+ (/ 1 x) (/ (log x) (* n x)))>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ 1 (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ 1 (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ 1 (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))>
#<alt (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))>
#<alt (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))>
#<alt (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))>
#<alt (/ (log x) n)>
#<alt (/ (+ n (log x)) n)>
#<alt (/ (+ n (log x)) n)>
#<alt (/ (+ n (log x)) n)>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (/ (log x) n))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (/ (log x) 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 (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (- (+ 1 (/ x n)) (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (+ (* 1/2 (/ 1 n)) (/ 1 (* (pow x 2) (exp (/ (log (/ 1 x)) n)))))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (+ (* 1/2 (/ 1 n)) (/ 1 (* (pow x 2) (exp (/ (log (/ 1 x)) n)))))))>
#<alt (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (/ 1 n)))) n))>
#<alt (* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))) x)) (/ 1 n)) x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))) x)) (/ 1 n)) x))))>
#<alt (* 1/2 (/ (pow x 2) (pow n 2)))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ (* n (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))) (* x (+ 1 (* -1/2 x)))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ (* n (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))) (* x (+ 1 (* -1/2 x)))))) (pow n 2))>
#<alt (/ (+ (* -1 (log x)) (* x (+ 1 (* -1/2 x)))) n)>
#<alt (/ (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (+ (* 1/2 (/ (pow x 2) n)) (+ (* 1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* -1/2 x))))))) n)>
#<alt (/ (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (* 1/2 (/ (pow x 2) n)) (+ (* 1/2 (/ (pow (log x) 2) n)) (+ (* 1/2 (/ (pow (log x) 3) (pow n 2))) (+ (* x (+ 1 (* -1/2 x))) (/ (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) (pow n 2))))))))) n)>
#<alt (/ (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (+ (* -1/2 (/ (* (pow (log x) 2) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) (pow n 3))) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (* -1/6 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/2 (/ (pow x 2) n)) (+ (* 1/2 (/ (pow (log x) 2) n)) (+ (* 1/2 (/ (pow (log x) 3) (pow n 2))) (+ (* x (+ 1 (* -1/2 x))) (+ (/ (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) (pow n 2)) (/ (* (log x) (+ (* -1/6 (pow (log x) 3)) (+ (* 1/2 (pow (log x) 3)) (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))))) (pow n 3))))))))))))) n)>
#<alt (* -1 (/ (+ (log x) (* -1 (* x (+ 1 (* -1/2 x))))) n))>
#<alt (* -1 (/ (+ (log x) (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1 (/ (+ (* -1 (pow (log x) 2)) (+ (* 1/2 (pow x 2)) (* 1/2 (pow (log x) 2)))) n)))) n))>
#<alt (* -1 (/ (+ (log x) (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/2 (pow (log x) 3)) (* 1/6 (pow (log x) 3)))) n)) (+ (* -1 (pow (log x) 2)) (+ (* 1/2 (pow x 2)) (* 1/2 (pow (log x) 2))))) n)))) n))>
#<alt (* -1 (/ (+ (log x) (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/2 (pow (log x) 3)) (* 1/6 (pow (log x) 3)))))) (+ (* -1/2 (* (pow (log x) 2) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/6 (pow (log x) 4)) (* 1/24 (pow (log x) 4))))) n)) (+ (* -1/2 (pow (log x) 3)) (* 1/6 (pow (log x) 3))))) n)) (+ (* -1 (pow (log x) 2)) (+ (* 1/2 (pow x 2)) (* 1/2 (pow (log x) 2))))) n)))) n))>
#<alt (/ x n)>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (/ (* (pow x 2) (- (* 1/2 (/ 1 n)) 1/2)) n)>
#<alt (* (pow x 2) (- (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (/ 1 n)))) n))>
#<alt (* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))>
#<alt (* 1/2 (/ (pow x 2) (pow n 2)))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (* x (+ 1 (* -1/2 x))) n)>
#<alt (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)>
#<alt (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)>
#<alt (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)>
#<alt (/ (* x (+ 1 (* -1/2 x))) n)>
#<alt (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))>
#<alt (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))>
#<alt (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))>
#<alt (/ 1 n)>
#<alt (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))>
#<alt (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))>
#<alt (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))>
#<alt (/ (* x (- (* 1/2 (/ 1 n)) 1/2)) n)>
#<alt (* x (- (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* -1 (/ (* x (- 1/2 (* 1/2 (/ 1 n)))) n))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 n)) (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))))))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 n)) (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))))))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 n)) (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))))))>
#<alt (* 1/2 (/ x (pow n 2)))>
#<alt (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))>
#<alt (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))>
#<alt (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))>
#<alt (/ (+ 1 (* -1/2 x)) n)>
#<alt (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)>
#<alt (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)>
#<alt (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)>
#<alt (/ (+ 1 (* -1/2 x)) n)>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* -1/2 x))) (* -1/2 (/ x n))) n))>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* -1/2 x))) (* -1/2 (/ x n))) n))>
#<alt (* -1 (/ (+ (* -1 (+ 1 (* -1/2 x))) (* -1/2 (/ x n))) n))>
#<alt 1>
#<alt (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))>
#<alt (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))>
#<alt (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))>
#<alt (* x (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* x (- (+ (* 1/2 (/ 1 n)) (/ 1 x)) 1/2))>
#<alt (* x (- (+ (* 1/2 (/ 1 n)) (/ 1 x)) 1/2))>
#<alt (* x (- (+ (* 1/2 (/ 1 n)) (/ 1 x)) 1/2))>
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 n)))))>
#<alt (* -1 (* x (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x)))))>
#<alt (* -1 (* x (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x)))))>
#<alt (* -1 (* x (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x)))))>
#<alt (* 1/2 (/ x n))>
#<alt (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) n)>
#<alt (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) n)>
#<alt (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) n)>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n))))>
#<alt (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n))))>
#<alt (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n))))>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n))))>
#<alt (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n))))>
#<alt (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n))))>
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (/ (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))) n)>
#<alt (/ (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))) n)>
#<alt (/ (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))) n)>
#<alt (/ (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))) n)>
#<alt (/ (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))) n)>
#<alt (/ (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))) n)>
#<alt (/ (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))) n)>
#<alt (/ (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))) n)>
#<alt (* -1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) (pow n 2))>
#<alt (/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) (pow n 2))>
#<alt (/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) (pow n 2))>
#<alt (* -1 (/ (log x) n))>
#<alt (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)>
#<alt (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)>
#<alt (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n))>
#<alt (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n))>
#<alt (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x))))>
#<alt (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x))))>
#<alt (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x))))>
#<alt (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x))))>
#<alt (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) n)>
#<alt (/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) n)>
#<alt (/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) n)>
#<alt (* -1 (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (* -1 (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log (/ 1 x)) 2) n))>
#<alt (* -1/2 (/ (pow (log (/ 1 x)) 2) n))>
#<alt (* -1/2 (/ (pow (log (/ 1 x)) 2) n))>
#<alt (* -1/2 (/ (pow (log (/ 1 x)) 2) n))>
#<alt (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))>
#<alt (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))>
#<alt (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))>
#<alt (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (pow (log x) 2))>
#<alt (* -1/2 (pow (log x) 2))>
#<alt (* -1/2 (pow (log x) 2))>
#<alt (* -1/2 (pow (log x) 2))>
#<alt (* -1/2 (pow (log (/ 1 x)) 2))>
#<alt (* -1/2 (pow (log (/ 1 x)) 2))>
#<alt (* -1/2 (pow (log (/ 1 x)) 2))>
#<alt (* -1/2 (pow (log (/ 1 x)) 2))>
#<alt (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))>
#<alt (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))>
#<alt (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))>
#<alt (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (- 1 (/ 1 (exp (/ (log (/ 1 x)) n))))>
#<alt (- 1 (/ 1 (exp (/ (log (/ 1 x)) n))))>
#<alt (- 1 (/ 1 (exp (/ (log (/ 1 x)) n))))>
#<alt (- 1 (/ 1 (exp (/ (log (/ 1 x)) n))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))>
#<alt (* -1 (/ (log x) n))>
#<alt (/ (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (* 1/2 (/ (pow (log x) 2) n)) (+ (* 1/2 (/ (pow (log x) 3) (pow n 2))) (/ (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) (pow n 2))))))) n)>
#<alt (/ (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (+ (* -1/2 (/ (* (pow (log x) 2) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) (pow n 3))) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (* -1/6 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) n)) (+ (* 1/2 (/ (pow (log x) 3) (pow n 2))) (+ (/ (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) (pow n 2)) (/ (* (log x) (+ (* -1/6 (pow (log x) 3)) (+ (* 1/2 (pow (log x) 3)) (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))))) (pow n 3))))))))))) n)>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))) n))) n))>
#<alt (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/2 (pow (log x) 3)) (* 1/6 (pow (log x) 3)))) n)) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n))) n))>
#<alt (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/2 (pow (log x) 3)) (* 1/6 (pow (log x) 3)))))) (+ (* -1/2 (* (pow (log x) 2) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/6 (pow (log x) 4)) (* 1/24 (pow (log x) 4))))) n)) (+ (* -1/2 (pow (log x) 3)) (* 1/6 (pow (log x) 3))))) n)) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n))) n))>
#<alt (* x (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* x (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* x (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* x (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* x (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* x (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* x (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* x (- (* 1/2 (/ 1 n)) 1/2))>
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 n)))))>
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 n)))))>
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 n)))))>
#<alt (* -1 (* x (- 1/2 (* 1/2 (/ 1 n)))))>
#<alt (* 1/2 (/ x n))>
#<alt (/ (+ (* -1/2 (* n x)) (* 1/2 x)) n)>
#<alt (/ (+ (* -1/2 (* n x)) (* 1/2 x)) n)>
#<alt (/ (+ (* -1/2 (* n x)) (* 1/2 x)) n)>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* 1/2 (/ x n)))>
#<alt (+ (* -1/2 x) (* 1/2 (/ x n)))>
#<alt (+ (* -1/2 x) (* 1/2 (/ x n)))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* 1/2 (/ x n)))>
#<alt (+ (* -1/2 x) (* 1/2 (/ x n)))>
#<alt (+ (* -1/2 x) (* 1/2 (/ x n)))>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
Calls

102 calls:

TimeVariablePointExpression
43.0ms
n
@0
(/ (log (/ x (+ 1 x))) (neg n))
5.0ms
n
@inf
(/ (log (/ x (+ 1 x))) (neg n))
1.0ms
x
@-inf
(/ (- (/ (* (pow (log x) 2) -1/2) n) (log x)) n)
1.0ms
x
@-inf
(/ (/ (+ 1 (/ (log x) n)) x) n)
1.0ms
x
@0
(/ (- (/ (* (pow (log x) 2) -1/2) n) (log x)) n)

rewrite369.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
5796×*-lowering-*.f32
5796×*-lowering-*.f64
3606×/-lowering-/.f32
3606×/-lowering-/.f64
3298×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034171
1220165
22166158
010711158
Stop Event
1×iter limit
1×node limit
Counts
20 → 617
Calls
Call 1
Inputs
(log (/ x (+ 1 x)))
(/ x (+ 1 x))
(+ 1 x)
(/ (log (/ x (+ 1 x))) (neg n))
(/ (/ (+ 1 (/ (log x) n)) x) n)
(/ (+ 1 (/ (log x) n)) x)
(+ 1 (/ (log x) n))
(/ (log x) n)
(+ (+ 1 (/ -1 (pow x (/ -1 n)))) (* x (/ (+ 1 (+ (* x -1/2) (/ (* 1/2 x) n))) n)))
(* x (/ (+ 1 (+ (* x -1/2) (/ (* 1/2 x) n))) n))
(/ (+ 1 (+ (* x -1/2) (/ (* 1/2 x) n))) n)
(+ 1 (+ (* x -1/2) (/ (* 1/2 x) n)))
(/ (- (/ (* (pow (log x) 2) -1/2) n) (log x)) n)
(- (/ (* (pow (log x) 2) -1/2) n) (log x))
(/ (* (pow (log x) 2) -1/2) n)
(* (pow (log x) 2) -1/2)
(neg n)
(+ 1 (/ -1 (pow x (/ -1 n))))
(+ (* x -1/2) (/ (* 1/2 x) n))
(pow (log x) 2)
Outputs
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (log.f64 x))
(+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log1p.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 x) (log1p.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (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 -1 binary64) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 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 #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)))
(neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
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(fma.f64 x (/.f64 #s(literal 1/2 binary64) n) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) n) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n))
(fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 x #s(literal 1/2 binary64)) n))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) n) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) n) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) n) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x n) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x n) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) n) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (/.f64 x n) #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 (/.f64 x n) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) n) (*.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 n x) #s(literal 1/2 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 n (*.f64 n n))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x n))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 n n)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 n (*.f64 n n)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) n) (*.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 n x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 n n)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 n x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 n n))) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x n))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 n (*.f64 n n))))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) n) (*.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 n x) #s(literal 1/2 binary64))))))
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(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 n (*.f64 n n))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) n) (*.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 n x) #s(literal 1/2 binary64)))))
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(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 x))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x)))

simplify246.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
3724×*-lowering-*.f32
3724×*-lowering-*.f64
3160×+-lowering-+.f64
3160×+-lowering-+.f32
1532×fnmadd-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04664662
114974273
250634208
081664208
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
(log x)
(+ (log x) (* -1 x))
(+ (log x) (* x (- (* 1/2 x) 1)))
(+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))
(/ -1 x)
(/ (- (* 1/2 (/ 1 x)) 1) x)
(/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x)
(/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) x)
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(/ 1 (* n x))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/ 1 (* n x))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
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(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(/ (+ 1 (/ (log x) n)) (* n x))
(/ (+ 1 (/ (log x) n)) (* n x))
(/ (+ 1 (/ (log x) n)) (* n x))
(/ (+ 1 (/ (log x) n)) (* n x))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) (* n x))
(/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) (* n x))
(/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) (* n x))
(/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) (* n x))
(/ (log x) (* (pow n 2) x))
(/ (+ (/ n x) (/ (log x) x)) (pow n 2))
(/ (+ (/ n x) (/ (log x) x)) (pow n 2))
(/ (+ (/ n x) (/ (log x) x)) (pow n 2))
(/ 1 (* n x))
(/ (+ (/ 1 x) (/ (log x) (* n x))) n)
(/ (+ (/ 1 x) (/ (log x) (* n x))) n)
(/ (+ (/ 1 x) (/ (log x) (* n x))) n)
(/ 1 (* n x))
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
(/ (+ 1 (/ (log x) n)) x)
(/ (+ 1 (/ (log x) n)) x)
(/ (+ 1 (/ (log x) n)) x)
(/ (+ 1 (/ (log x) n)) x)
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)
(/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) x)
(/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) x)
(/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) x)
(/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) x)
(/ (log x) (* n x))
(/ (+ (/ n x) (/ (log x) x)) n)
(/ (+ (/ n x) (/ (log x) x)) n)
(/ (+ (/ n x) (/ (log x) x)) n)
(/ 1 x)
(+ (/ 1 x) (/ (log x) (* n x)))
(+ (/ 1 x) (/ (log x) (* n x)))
(+ (/ 1 x) (/ (log x) (* n x)))
(/ 1 x)
(+ (/ 1 x) (/ (log x) (* n x)))
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(+ (/ 1 x) (/ (log x) (* n x)))
(+ 1 (/ (log x) n))
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(+ 1 (* -1 (/ (log (/ 1 x)) n)))
(+ 1 (* -1 (/ (log (/ 1 x)) n)))
(+ 1 (* -1 (/ (log (/ 1 x)) n)))
(+ 1 (* -1 (/ (log (/ 1 x)) n)))
(+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))
(+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))
(+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))
(+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))
(/ (log x) n)
(/ (+ n (log x)) n)
(/ (+ n (log x)) n)
(/ (+ n (log x)) n)
1
(+ 1 (/ (log x) n))
(+ 1 (/ (log x) n))
(+ 1 (/ (log x) n))
1
(+ 1 (/ (log x) n))
(+ 1 (/ (log x) n))
(+ 1 (/ (log x) n))
(/ (log x) n)
(/ (log x) n)
(/ (log x) n)
(/ (log x) n)
(* -1 (/ (log (/ 1 x)) n))
(* -1 (/ (log (/ 1 x)) n))
(* -1 (/ (log (/ 1 x)) n))
(* -1 (/ (log (/ 1 x)) n))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n)
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n)
(/ (log x) n)
(/ (log x) n)
(/ (log x) n)
(/ (log x) n)
(/ (log x) n)
(/ (log x) n)
(/ (log x) n)
(/ (log x) n)
(/ (log x) n)
(/ (log x) n)
(/ (log x) n)
(/ (log x) n)
(- 1 (/ 1 (exp (* -1 (/ (log x) n)))))
(- (+ 1 (/ x n)) (/ 1 (exp (* -1 (/ (log x) n)))))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ 1 (exp (* -1 (/ (log x) n)))))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ 1 (exp (* -1 (/ (log x) n)))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (+ (* 1/2 (/ 1 n)) (/ 1 (* (pow x 2) (exp (/ (log (/ 1 x)) n)))))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (+ (* 1/2 (/ 1 n)) (/ 1 (* (pow x 2) (exp (/ (log (/ 1 x)) n)))))))
(* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (/ 1 n)))) n))
(* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))
(* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))) x)) (/ 1 n)) x))))
(* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (* -1 (/ (- (* -1 (/ (- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))) x)) (/ 1 n)) x))))
(* 1/2 (/ (pow x 2) (pow n 2)))
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))
(/ (+ (* 1/2 (pow x 2)) (* n (+ (* n (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))) (* x (+ 1 (* -1/2 x)))))) (pow n 2))
(/ (+ (* 1/2 (pow x 2)) (* n (+ (* n (- 1 (/ 1 (exp (* -1 (/ (log x) n)))))) (* x (+ 1 (* -1/2 x)))))) (pow n 2))
(/ (+ (* -1 (log x)) (* x (+ 1 (* -1/2 x)))) n)
(/ (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (+ (* 1/2 (/ (pow x 2) n)) (+ (* 1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* -1/2 x))))))) n)
(/ (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (* 1/2 (/ (pow x 2) n)) (+ (* 1/2 (/ (pow (log x) 2) n)) (+ (* 1/2 (/ (pow (log x) 3) (pow n 2))) (+ (* x (+ 1 (* -1/2 x))) (/ (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) (pow n 2))))))))) n)
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(* -1 (/ (+ (log x) (* -1 (* x (+ 1 (* -1/2 x))))) n))
(* -1 (/ (+ (log x) (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1 (/ (+ (* -1 (pow (log x) 2)) (+ (* 1/2 (pow x 2)) (* 1/2 (pow (log x) 2)))) n)))) n))
(* -1 (/ (+ (log x) (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/2 (pow (log x) 3)) (* 1/6 (pow (log x) 3)))) n)) (+ (* -1 (pow (log x) 2)) (+ (* 1/2 (pow x 2)) (* 1/2 (pow (log x) 2))))) n)))) n))
(* -1 (/ (+ (log x) (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/2 (pow (log x) 3)) (* 1/6 (pow (log x) 3)))))) (+ (* -1/2 (* (pow (log x) 2) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/6 (pow (log x) 4)) (* 1/24 (pow (log x) 4))))) n)) (+ (* -1/2 (pow (log x) 3)) (* 1/6 (pow (log x) 3))))) n)) (+ (* -1 (pow (log x) 2)) (+ (* 1/2 (pow x 2)) (* 1/2 (pow (log x) 2))))) n)))) n))
(/ x n)
(* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(/ (* (pow x 2) (- (* 1/2 (/ 1 n)) 1/2)) n)
(* (pow x 2) (- (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (/ 1 n)))) n))
(* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))
(* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))
(* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))
(* 1/2 (/ (pow x 2) (pow n 2)))
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))
(/ (* x (+ 1 (* -1/2 x))) n)
(/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)
(/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)
(/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)
(/ (* x (+ 1 (* -1/2 x))) n)
(* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))
(* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))
(* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))
(/ 1 n)
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(/ (* x (- (* 1/2 (/ 1 n)) 1/2)) n)
(* x (- (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* x (- (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* x (- (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* -1 (/ (* x (- 1/2 (* 1/2 (/ 1 n)))) n))
(* -1 (* x (- (* 1/2 (/ 1 n)) (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))))))
(* -1 (* x (- (* 1/2 (/ 1 n)) (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))))))
(* -1 (* x (- (* 1/2 (/ 1 n)) (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))))))
(* 1/2 (/ x (pow n 2)))
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))
(/ (+ 1 (* -1/2 x)) n)
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)
(/ (+ 1 (* -1/2 x)) n)
(* -1 (/ (+ (* -1 (+ 1 (* -1/2 x))) (* -1/2 (/ x n))) n))
(* -1 (/ (+ (* -1 (+ 1 (* -1/2 x))) (* -1/2 (/ x n))) n))
(* -1 (/ (+ (* -1 (+ 1 (* -1/2 x))) (* -1/2 (/ x n))) n))
1
(+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))
(+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))
(+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))
(* x (- (* 1/2 (/ 1 n)) 1/2))
(* x (- (+ (* 1/2 (/ 1 n)) (/ 1 x)) 1/2))
(* x (- (+ (* 1/2 (/ 1 n)) (/ 1 x)) 1/2))
(* x (- (+ (* 1/2 (/ 1 n)) (/ 1 x)) 1/2))
(* -1 (* x (- 1/2 (* 1/2 (/ 1 n)))))
(* -1 (* x (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x)))))
(* -1 (* x (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x)))))
(* -1 (* x (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x)))))
(* 1/2 (/ x n))
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) n)
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) n)
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) n)
(+ 1 (* -1/2 x))
(+ 1 (+ (* -1/2 x) (* 1/2 (/ x n))))
(+ 1 (+ (* -1/2 x) (* 1/2 (/ x n))))
(+ 1 (+ (* -1/2 x) (* 1/2 (/ x n))))
(+ 1 (* -1/2 x))
(+ 1 (+ (* -1/2 x) (* 1/2 (/ x n))))
(+ 1 (+ (* -1/2 x) (* 1/2 (/ x n))))
(+ 1 (+ (* -1/2 x) (* 1/2 (/ x n))))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(/ (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))) n)
(/ (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))) n)
(/ (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))) n)
(/ (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))) n)
(/ (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))) n)
(/ (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))) n)
(/ (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))) n)
(/ (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))) n)
(* -1/2 (/ (pow (log x) 2) (pow n 2)))
(/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) (pow n 2))
(/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) (pow n 2))
(/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) (pow n 2))
(* -1 (/ (log x) n))
(/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)
(/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)
(/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)
(* -1 (/ (log x) n))
(* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n))
(* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n))
(* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x))))
(- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x))))
(- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x))))
(- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x))))
(- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x)))))
(* -1/2 (/ (pow (log x) 2) n))
(/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) n)
(/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) n)
(/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) n)
(* -1 (log x))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(* -1 (log x))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log (/ 1 x)) 2) n))
(* -1/2 (/ (pow (log (/ 1 x)) 2) n))
(* -1/2 (/ (pow (log (/ 1 x)) 2) n))
(* -1/2 (/ (pow (log (/ 1 x)) 2) n))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (pow (log x) 2))
(* -1/2 (pow (log x) 2))
(* -1/2 (pow (log x) 2))
(* -1/2 (pow (log x) 2))
(* -1/2 (pow (log (/ 1 x)) 2))
(* -1/2 (pow (log (/ 1 x)) 2))
(* -1/2 (pow (log (/ 1 x)) 2))
(* -1/2 (pow (log (/ 1 x)) 2))
(* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(- 1 (/ 1 (exp (* -1 (/ (log x) n)))))
(- 1 (/ 1 (exp (* -1 (/ (log x) n)))))
(- 1 (/ 1 (exp (* -1 (/ (log x) n)))))
(- 1 (/ 1 (exp (* -1 (/ (log x) n)))))
(- 1 (/ 1 (exp (/ (log (/ 1 x)) n))))
(- 1 (/ 1 (exp (/ (log (/ 1 x)) n))))
(- 1 (/ 1 (exp (/ (log (/ 1 x)) n))))
(- 1 (/ 1 (exp (/ (log (/ 1 x)) n))))
(- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))
(- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))
(- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))
(- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))
(- 1 (/ 1 (exp (* -1 (/ (log x) n)))))
(- 1 (/ 1 (exp (* -1 (/ (log x) n)))))
(- 1 (/ 1 (exp (* -1 (/ (log x) n)))))
(- 1 (/ 1 (exp (* -1 (/ (log x) n)))))
(* -1 (/ (log x) n))
(/ (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (* 1/2 (/ (pow (log x) 2) n)) (+ (* 1/2 (/ (pow (log x) 3) (pow n 2))) (/ (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) (pow n 2))))))) n)
(/ (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (+ (* -1/2 (/ (* (pow (log x) 2) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) (pow n 3))) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (* -1/6 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) n)) (+ (* 1/2 (/ (pow (log x) 3) (pow n 2))) (+ (/ (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) (pow n 2)) (/ (* (log x) (+ (* -1/6 (pow (log x) 3)) (+ (* 1/2 (pow (log x) 3)) (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))))) (pow n 3))))))))))) n)
(* -1 (/ (log x) n))
(* -1 (/ (+ (log x) (* -1 (/ (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))) n))) n))
(* -1 (/ (+ (log x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/2 (pow (log x) 3)) (* 1/6 (pow (log x) 3)))) n)) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n))) n))
(* -1 (/ (+ (log x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/2 (pow (log x) 3)) (* 1/6 (pow (log x) 3)))))) (+ (* -1/2 (* (pow (log x) 2) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/6 (pow (log x) 4)) (* 1/24 (pow (log x) 4))))) n)) (+ (* -1/2 (pow (log x) 3)) (* 1/6 (pow (log x) 3))))) n)) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n))) n))
(* x (- (* 1/2 (/ 1 n)) 1/2))
(* x (- (* 1/2 (/ 1 n)) 1/2))
(* x (- (* 1/2 (/ 1 n)) 1/2))
(* x (- (* 1/2 (/ 1 n)) 1/2))
(* x (- (* 1/2 (/ 1 n)) 1/2))
(* x (- (* 1/2 (/ 1 n)) 1/2))
(* x (- (* 1/2 (/ 1 n)) 1/2))
(* x (- (* 1/2 (/ 1 n)) 1/2))
(* -1 (* x (- 1/2 (* 1/2 (/ 1 n)))))
(* -1 (* x (- 1/2 (* 1/2 (/ 1 n)))))
(* -1 (* x (- 1/2 (* 1/2 (/ 1 n)))))
(* -1 (* x (- 1/2 (* 1/2 (/ 1 n)))))
(* 1/2 (/ x n))
(/ (+ (* -1/2 (* n x)) (* 1/2 x)) n)
(/ (+ (* -1/2 (* n x)) (* 1/2 x)) n)
(/ (+ (* -1/2 (* n x)) (* 1/2 x)) n)
(* -1/2 x)
(+ (* -1/2 x) (* 1/2 (/ x n)))
(+ (* -1/2 x) (* 1/2 (/ x n)))
(+ (* -1/2 x) (* 1/2 (/ x n)))
(* -1/2 x)
(+ (* -1/2 x) (* 1/2 (/ x n)))
(+ (* -1/2 x) (* 1/2 (/ x n)))
(+ (* -1/2 x) (* 1/2 (/ x n)))
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
Outputs
(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 #s(literal 0 binary64) (/.f64 (+.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 x #s(literal -1 binary64)))))
(* 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 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (-.f64 (/.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))
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))
(* -1 (/ (log x) n))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(-.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))))
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(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(- 1 (/ 1 (exp (* -1 (/ (log x) n)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- 1 (/ 1 (exp (* -1 (/ (log x) n)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- 1 (/ 1 (exp (* -1 (/ (log x) n)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- 1 (/ 1 (exp (* -1 (/ (log x) n)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- 1 (/ 1 (exp (/ (log (/ 1 x)) n))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- 1 (/ 1 (exp (/ (log (/ 1 x)) n))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- 1 (/ 1 (exp (/ (log (/ 1 x)) n))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- 1 (/ 1 (exp (/ (log (/ 1 x)) n))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(- 1 (/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(- 1 (/ 1 (exp (* -1 (/ (log x) n)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- 1 (/ 1 (exp (* -1 (/ (log x) n)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- 1 (/ 1 (exp (* -1 (/ (log x) n)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- 1 (/ 1 (exp (* -1 (/ (log x) n)))))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(* -1 (/ (log x) n))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(/ (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (log.f64 x)) n)
(/ (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (* 1/2 (/ (pow (log x) 2) n)) (+ (* 1/2 (/ (pow (log x) 3) (pow n 2))) (/ (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) (pow n 2))))))) n)
(/.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)))) (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)))) (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n)
(/ (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (+ (* -1/2 (/ (* (pow (log x) 2) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) (pow n 3))) (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (* -1/6 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) n)) (+ (* 1/2 (/ (pow (log x) 3) (pow n 2))) (+ (/ (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) (pow n 2)) (/ (* (log x) (+ (* -1/6 (pow (log x) 3)) (+ (* 1/2 (pow (log x) 3)) (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))))) (pow n 3))))))))))) n)
(/.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 n (*.f64 n n)))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) #s(literal -1/8 binary64))) (+.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))))) (/.f64 (+.f64 (*.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (*.f64 n (*.f64 n n))))) (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n)
(* -1 (/ (log x) n))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(* -1 (/ (+ (log x) (* -1 (/ (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))) n))) n))
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (log.f64 x)) n)
(* -1 (/ (+ (log x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/2 (pow (log x) 3)) (* 1/6 (pow (log x) 3)))) n)) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n))) n))
(/.f64 (-.f64 (log.f64 x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (+ (log x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/2 (pow (log x) 3)) (* 1/6 (pow (log x) 3)))))) (+ (* -1/2 (* (pow (log x) 2) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/6 (pow (log x) 4)) (* 1/24 (pow (log x) 4))))) n)) (+ (* -1/2 (pow (log x) 3)) (* 1/6 (pow (log x) 3))))) n)) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n))) n))
(/.f64 (-.f64 (log.f64 x) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (+.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -1/3 binary64) (log.f64 x)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))))) n))) n)) n)) (-.f64 #s(literal 0 binary64) n))
(* x (- (* 1/2 (/ 1 n)) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(* x (- (* 1/2 (/ 1 n)) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(* x (- (* 1/2 (/ 1 n)) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(* x (- (* 1/2 (/ 1 n)) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(* x (- (* 1/2 (/ 1 n)) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(* x (- (* 1/2 (/ 1 n)) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(* x (- (* 1/2 (/ 1 n)) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(* x (- (* 1/2 (/ 1 n)) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(* -1 (* x (- 1/2 (* 1/2 (/ 1 n)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))
(* -1 (* x (- 1/2 (* 1/2 (/ 1 n)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))
(* -1 (* x (- 1/2 (* 1/2 (/ 1 n)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))
(* -1 (* x (- 1/2 (* 1/2 (/ 1 n)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n))))
(* 1/2 (/ x n))
(*.f64 x (/.f64 #s(literal 1/2 binary64) n))
(/ (+ (* -1/2 (* n x)) (* 1/2 x)) n)
(/.f64 (*.f64 x (+.f64 (*.f64 n #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) n)
(/ (+ (* -1/2 (* n x)) (* 1/2 x)) n)
(/.f64 (*.f64 x (+.f64 (*.f64 n #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) n)
(/ (+ (* -1/2 (* n x)) (* 1/2 x)) n)
(/.f64 (*.f64 x (+.f64 (*.f64 n #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) n)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(+ (* -1/2 x) (* 1/2 (/ x n)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(+ (* -1/2 x) (* 1/2 (/ x n)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(+ (* -1/2 x) (* 1/2 (/ x n)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(+ (* -1/2 x) (* 1/2 (/ x n)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(+ (* -1/2 x) (* 1/2 (/ x n)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(+ (* -1/2 x) (* 1/2 (/ x n)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (log (/ 1 x)) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))

eval113.0ms (0.3%)

Compiler

Compiled 27731 to 2767 computations (90% saved)

prune128.0ms (0.3%)

Pruning

50 alts after pruning (43 fresh and 7 done)

PrunedKeptTotal
New1005201025
Fresh102333
Picked145
Done033
Total1016501066
Accuracy
100.0%
Counts
1066 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.1%
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))))) n)
29.9%
(/.f64 (/.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)) (neg.f64 n))
30.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x)
44.6%
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal -1 binary64)) x) (neg.f64 n))
✓40.6%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)
58.2%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
41.1%
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
41.1%
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
25.7%
(/.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)))))
✓38.9%
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log.f64 x)) n)
32.0%
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
27.9%
(/.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))
35.7%
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) n)) (*.f64 n n))
32.6%
(/.f64 (-.f64 x (log.f64 x)) n)
25.9%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
✓25.9%
(/.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))))
41.1%
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
44.6%
(/.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)
35.8%
(/.f64 (+.f64 (/.f64 n x) (/.f64 (log.f64 x) x)) (*.f64 n n))
5.2%
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 n n))
31.6%
(/.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 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
3.8%
(/.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
4.3%
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
9.8%
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
63.1%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
26.9%
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 n n) (*.f64 #s(literal 0 binary64) n)))))
63.0%
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)))
✓63.1%
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
32.5%
(/.f64 (log.f64 x) (neg.f64 n))
40.3%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
✓54.5%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
43.8%
(-.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
38.9%
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))
29.7%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
16.2%
(-.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)))
58.7%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓39.5%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
21.8%
(+.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) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) (-.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) (*.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n))))))) n)))
23.6%
(+.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) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) n)))
28.0%
(+.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 1/2 binary64) x) (*.f64 n n))))
12.6%
(+.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 (*.f64 (+.f64 (*.f64 n (*.f64 n #s(literal -1/2 binary64))) (/.f64 n #s(literal 2 binary64))) x) (*.f64 n (*.f64 n n))))))
18.4%
(+.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 (*.f64 #s(literal 1/2 binary64) x) (*.f64 n n)))))
31.6%
(*.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 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
63.0%
(*.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)))
63.1%
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
5.6%
(*.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)))
6.9%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
21.3%
(*.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))))
62.7%
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
✓33.1%
#s(literal 0 binary64)
Compiler

Compiled 3007 to 971 computations (67.7% saved)

regimes95.0ms (0.2%)

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

4 calls:

23.0ms
(/.f64 #s(literal 1 binary64) n)
22.0ms
n
22.0ms
x
19.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
85.7%4x
87.8%3n
87.4%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)

regimes46.0ms (0.1%)

Counts
76 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.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 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal -1 binary64)) x) (neg.f64 n))
(*.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) 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 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.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 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (/.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)) (neg.f64 n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) 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) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)))
(/.f64 (+.f64 (/.f64 n x) (/.f64 (log.f64 x) x)) (*.f64 n n))
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
(*.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 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 n 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) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) 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 (*.f64 #s(literal 1/2 binary64) x) (*.f64 n 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 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 n n) (*.f64 #s(literal 0 binary64) 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) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) n))) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (+.f64 (/.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 #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 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (*.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))))))
(-.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 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) (-.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) (*.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n))))))) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)))
(/.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 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))) n))) (*.f64 (*.f64 x n) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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 (/.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 (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log.f64 x)) n)
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) n)) (*.f64 n n))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 n n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)
(*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
(*.f64 (+.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 n #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) n)))
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (-.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 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))) n))) (*.f64 (*.f64 x n) (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))) 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 (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 (log.f64 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

2 calls:

20.0ms
(/.f64 #s(literal 1 binary64) n)
19.0ms
n
Results
AccuracySegmentsBranch
87.6%3n
87.7%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes45.0ms (0.1%)

Counts
58 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.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 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal -1 binary64)) x) (neg.f64 n))
(*.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) 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 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.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 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (/.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)) (neg.f64 n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) 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) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)))
(/.f64 (+.f64 (/.f64 n x) (/.f64 (log.f64 x) x)) (*.f64 n n))
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
(*.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 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 n 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) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) 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 (*.f64 #s(literal 1/2 binary64) x) (*.f64 n 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 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 n n) (*.f64 #s(literal 0 binary64) 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) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) n))) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (+.f64 (/.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 #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 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (*.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))))))
(-.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 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) (-.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) (*.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n))))))) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)))
(/.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 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 #s(literal 3 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))) n))) (*.f64 (*.f64 x n) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))) #s(literal -1 binary64)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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 (/.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)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) n)))
Calls

3 calls:

15.0ms
(/.f64 #s(literal 1 binary64) n)
14.0ms
n
12.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
84.5%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
83.4%3n
84.9%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes22.0ms (0.1%)

Counts
37 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.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 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal -1 binary64)) x) (neg.f64 n))
(*.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) 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 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.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 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (/.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)) (neg.f64 n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) 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) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)))
(/.f64 (+.f64 (/.f64 n x) (/.f64 (log.f64 x) x)) (*.f64 n n))
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
(*.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 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 n n))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 n n))))
Calls

2 calls:

10.0ms
(/.f64 #s(literal 1 binary64) n)
10.0ms
x
Results
AccuracySegmentsBranch
78.3%4x
83.7%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes22.0ms (0.1%)

Counts
36 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.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 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal -1 binary64)) x) (neg.f64 n))
(*.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) 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 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.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 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (/.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)) (neg.f64 n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) 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) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)))
(/.f64 (+.f64 (/.f64 n x) (/.f64 (log.f64 x) x)) (*.f64 n n))
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) n)
(*.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 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) n) (*.f64 n (log.f64 x))) (*.f64 n n))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
Calls

2 calls:

10.0ms
n
10.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.9%5n
84.9%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes26.0ms (0.1%)

Counts
29 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.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 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal -1 binary64)) x) (neg.f64 n))
(*.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) 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 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.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 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (/.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)) (neg.f64 n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
Calls

3 calls:

8.0ms
(/.f64 #s(literal 1 binary64) n)
8.0ms
x
8.0ms
n
Results
AccuracySegmentsBranch
70.2%5x
72.8%3n
74.7%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes11.0ms (0%)

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

1 calls:

9.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
74.6%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0%)

Counts
25 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.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 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal -1 binary64)) x) (neg.f64 n))
(*.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) 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 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.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 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (/.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)) (neg.f64 n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
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 #s(literal 1 binary64) (*.f64 x n))
Calls

1 calls:

7.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
74.6%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes22.0ms (0.1%)

Counts
24 → 5
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.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 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal -1 binary64)) x) (neg.f64 n))
(*.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) 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 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.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 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (/.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)) (neg.f64 n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
(neg.f64 (/.f64 (log.f64 x) n))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (/.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)) (neg.f64 n))
#s(literal 0 binary64)
Calls

3 calls:

7.0ms
x
7.0ms
(/.f64 #s(literal 1 binary64) n)
7.0ms
n
Results
AccuracySegmentsBranch
69.7%5x
64.8%7n
64.1%7(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
66.1%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0%)

Counts
22 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.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 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal -1 binary64)) x) (neg.f64 n))
(*.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) 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 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.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 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (/.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)) (neg.f64 n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) (neg.f64 n))
Outputs
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (/.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)) (neg.f64 n))
#s(literal 0 binary64)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
65.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes38.0ms (0.1%)

Counts
20 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.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 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal -1 binary64)) x) (neg.f64 n))
(*.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) 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 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.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 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (/.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)) (neg.f64 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:

24.0ms
n
6.0ms
(/.f64 #s(literal 1 binary64) n)
6.0ms
x
Results
AccuracySegmentsBranch
51.6%3(/.f64 #s(literal 1 binary64) n)
51.6%3n
50.3%2x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes6.0ms (0%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
50.2%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0%)

Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.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 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x))
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 #s(literal 0 binary64) n))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
#s(literal 0 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
Calls

3 calls:

4.0ms
(/.f64 #s(literal 1 binary64) n)
4.0ms
x
4.0ms
n
Results
AccuracySegmentsBranch
50.6%3(/.f64 #s(literal 1 binary64) n)
50.6%3n
46.7%2x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
n
Results
AccuracySegmentsBranch
49.8%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
Outputs
#s(literal 0 binary64)
Calls

2 calls:

1.0ms
x
1.0ms
n
Results
AccuracySegmentsBranch
33.1%1x
33.1%1n
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.6253400989640817e-22
2.0712400595553526
0.0ms
-0.0005363455361385699
-9.630953373209753e-5
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.6253400989640817e-22
2.0712400595553526
0.0ms
-0.0005363455361385699
-9.630953373209753e-5
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.6253400989640817e-22
2.0712400595553526
0.0ms
-0.0005363455361385699
-9.630953373209753e-5
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.6253400989640817e-22
2.0712400595553526
0.0ms
-0.0005363455361385699
-9.630953373209753e-5
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.2721522205865025e+244
2.470609618025532e+250
0.0ms
1.6253400989640817e-22
2.0712400595553526
0.0ms
-0.0005363455361385699
-9.630953373209753e-5
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.2721522205865025e+244
2.470609618025532e+250
0.0ms
1.6253400989640817e-22
2.0712400595553526
0.0ms
-1.4076802047880494e+167
-1.2586981044837789e+166
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.7431947294980417e+234
2.5920195367812066e+242
0.0ms
1.6253400989640817e-22
2.0712400595553526
0.0ms
-1.4076802047880494e+167
-1.2586981044837789e+166
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.7431947294980417e+234
2.5920195367812066e+242
0.0ms
1.6253400989640817e-22
2.0712400595553526
0.0ms
-1.4076802047880494e+167
-1.2586981044837789e+166
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch217.0ms (0.5%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
42.0ms
1.7404040670145687e+38
2.0902350944750623e+46
31.0ms
0.3152518135600726
311.46635482626476
62.0ms
6.197025703380163e-223
4.9127968358535665e-220
74.0ms
1.6992080115445356e-269
1.2860643391527236e-266
Results
142.0ms289×1valid
26.0ms68×2valid
22.0ms171×0valid
3.0ms21×0unsamplable
Compiler

Compiled 815 to 610 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 166.0ms
ival-pow: 142.0ms (85.7% of total)
ival-div: 7.0ms (4.2% of total)
ival-add: 6.0ms (3.6% of total)
backward-pass: 6.0ms (3.6% of total)
ival-sub: 5.0ms (3% of total)
const: 1.0ms (0.6% of total)

bsearch74.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
40.0ms
1.7404040670145687e+38
2.0902350944750623e+46
30.0ms
0.3152518135600726
311.46635482626476
Results
24.0ms110×1valid
20.0ms54×2valid
13.0ms108×0valid
3.0ms27×0unsamplable
Compiler

Compiled 519 to 402 computations (22.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-pow: 35.0ms (74.2% of total)
ival-div: 4.0ms (8.5% of total)
backward-pass: 3.0ms (6.4% of total)
ival-add: 3.0ms (6.4% of total)
ival-sub: 2.0ms (4.2% of total)
const: 1.0ms (2.1% of total)

bsearch78.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
42.0ms
1.7404040670145687e+38
2.0902350944750623e+46
32.0ms
0.3152518135600726
311.46635482626476
Results
26.0ms118×1valid
26.0ms62×2valid
11.0ms92×0valid
2.0ms17×0unsamplable
Compiler

Compiled 511 to 402 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-pow: 36.0ms (70.6% of total)
ival-div: 4.0ms (7.8% of total)
ival-sub: 4.0ms (7.8% of total)
backward-pass: 3.0ms (5.9% of total)
ival-add: 3.0ms (5.9% of total)
const: 1.0ms (2% of total)

bsearch46.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
43.0ms
1.7404040670145687e+38
2.0902350944750623e+46
Results
22.0ms60×2valid
10.0ms50×1valid
4.0ms34×0valid
2.0ms16×0unsamplable
Compiler

Compiled 236 to 174 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-pow: 22.0ms (73.3% of total)
ival-div: 2.0ms (6.7% of total)
ival-add: 2.0ms (6.7% of total)
backward-pass: 2.0ms (6.7% of total)
ival-sub: 1.0ms (3.3% of total)
const: 0.0ms (0% of total)

bsearch44.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
41.0ms
1.7404040670145687e+38
2.0902350944750623e+46
Results
20.0ms51×2valid
9.0ms41×1valid
6.0ms52×0valid
1.0ms12×0unsamplable
Compiler

Compiled 209 to 165 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-pow: 21.0ms (73.5% of total)
ival-div: 2.0ms (7% of total)
backward-pass: 2.0ms (7% of total)
ival-add: 2.0ms (7% of total)
ival-sub: 1.0ms (3.5% of total)
const: 0.0ms (0% of total)

bsearch48.0ms (0.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
-7.94471681841551e-167
-7.10388621363449e-168
31.0ms
-1864.469698395403
-0.3410838016448646
Results
19.0ms172×0valid
12.0ms21×2valid
7.0ms31×1valid
Compiler

Compiled 188 to 152 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-pow: 22.0ms (76.4% of total)
ival-div: 2.0ms (6.9% of total)
ival-add: 2.0ms (6.9% of total)
backward-pass: 1.0ms (3.5% of total)
ival-sub: 1.0ms (3.5% of total)
const: 0.0ms (0% of total)

bsearch45.0ms (0.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
-7.94471681841551e-167
-7.10388621363449e-168
28.0ms
-1864.469698395403
-0.3410838016448646
Results
19.0ms171×0valid
9.0ms18×2valid
8.0ms35×1valid
Compiler

Compiled 188 to 152 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-pow: 21.0ms (75% of total)
ival-div: 2.0ms (7.1% of total)
ival-add: 2.0ms (7.1% of total)
backward-pass: 1.0ms (3.6% of total)
ival-sub: 1.0ms (3.6% of total)
const: 0.0ms (0% of total)

simplify66.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
514×distribute-lft-neg-in_binary64
302×neg-mul-1_binary64
286×neg-sub0_binary64
246×distribute-neg-in_binary64
240×sub-neg_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0147591
1204591
2254585
3307585
4389585
5556584
6854584
71156584
81442584
91660584
101773584
111820584
121835584
131839584
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 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) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 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 1/2 binary64) x) (*.f64 n n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 40000000000000002986023025993267830985311812004784623726521376004804618285431969451685978132299973122979161252805197687658703713382973633053438580540263602646031545549964753416721480781088915477799249620779385862645868902359563384333415575715840 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -100000000000000003860899428741951440279402051491350438954423829568577391016492742670197391754543170343555750902863155030391327289536708508823166797373630632400726786048 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 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 40000000000000002986023025993267830985311812004784623726521376004804618285431969451685978132299973122979161252805197687658703713382973633053438580540263602646031545549964753416721480781088915477799249620779385862645868902359563384333415575715840 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -100000000000000003860899428741951440279402051491350438954423829568577391016492742670197391754543170343555750902863155030391327289536708508823166797373630632400726786048 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 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5000000000000000265830098313298245178016947287622550486678486493521945761146082797297502145674652454512860840906256046981475222569026826936584608154510201938349585198667111756724875341881416615617731891764574033605618465285179569078272 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -100000000000000003860899428741951440279402051491350438954423829568577391016492742670197391754543170343555750902863155030391327289536708508823166797373630632400726786048 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 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5000000000000000265830098313298245178016947287622550486678486493521945761146082797297502145674652454512860840906256046981475222569026826936584608154510201938349585198667111756724875341881416615617731891764574033605618465285179569078272 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(if (<=.f64 x #s(literal 7318911346414089/580865979874134008905493163339804906301273516273200960568660882545289319203282958416081372850061074449140126480544130097833822361540978792105793195743122900696472984549789013258861878841522553464937185852481030158620214338624171909436366773573694563676580119318024965946783339380736 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 4232626348996001/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 6500000000000000335704003802124458864989437952 binary64)) (/.f64 (/.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)) (neg.f64 n)) #s(literal 0 binary64)))))
(if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 1949999999999999847676257110705609470115840 binary64)) (/.f64 (/.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)) (neg.f64 n)) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 180000000000000000032818026698693234554568704 binary64)) (/.f64 (/.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)) (neg.f64 n)) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal 6500000000000000335704003802124458864989437952 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 849999999999999956139328173708086055649935360 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal -1 binary64)) x) (neg.f64 n)) #s(literal 0 binary64))
(if (<=.f64 n #s(literal -7 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 n #s(literal -597530241918863/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) x)))
(if (<=.f64 n #s(literal -6530219459687219/2251799813685248 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (if (<=.f64 n #s(literal -1792590725756589/132784498204191774672397051638117156832398279431757980799861034550100889965213060684790625566307321417222332371561625253836644834413176809852379994691646837985957817708848304757932032 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(literal 0 binary64)
Outputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 n x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 n x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 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) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 n x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) #s(literal 1 binary64)) (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 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 1/2 binary64) x) (*.f64 n n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 n x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (+.f64 (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) #s(literal 1 binary64)) (*.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 n n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 40000000000000002986023025993267830985311812004784623726521376004804618285431969451685978132299973122979161252805197687658703713382973633053438580540263602646031545549964753416721480781088915477799249620779385862645868902359563384333415575715840 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/2305843009213693952 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 n x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 40000000000000002986023025993267830985311812004784623726521376004804618285431969451685978132299973122979161252805197687658703713382973633053438580540263602646031545549964753416721480781088915477799249620779385862645868902359563384333415575715840 binary64)) (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) (*.f64 n x)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -100000000000000003860899428741951440279402051491350438954423829568577391016492742670197391754543170343555750902863155030391327289536708508823166797373630632400726786048 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 4253529586511731/21267647932558653966460912964485513216 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 40000000000000002986023025993267830985311812004784623726521376004804618285431969451685978132299973122979161252805197687658703713382973633053438580540263602646031545549964753416721480781088915477799249620779385862645868902359563384333415575715840 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) (*.f64 x n)))))
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#s(literal 0 binary64)

soundness2.4s (5.8%)

Rules
5796×*-lowering-*.f32
5796×*-lowering-*.f64
4790×+-lowering-+.f64
4790×+-lowering-+.f32
4166×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053300
1410271
24535271
08201271
034171
1220165
22166158
010711158
049220
1269185
22352185
08848185
0163515661
1573015518
0807815518
0822
15920
242020
3477920
0825520
04664662
114974273
250634208
081664208
08426415
128576112
082186112
02401373
17451245
223721170
080931170
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 1641 to 901 computations (45.1% saved)

preprocess75.0ms (0.2%)

Compiler

Compiled 1234 to 304 computations (75.4% saved)

end0.0ms (0%)

Profiling

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