2nthrt (problem 3.4.6)

Time bar (total: 42.3s)

analyze342.0ms (0.8%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.5%62.4%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
45.2%43.7%53.1%0.1%0%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: 247.0ms
ival-pow: 211.0ms (85.6% of total)
ival-div: 13.0ms (5.3% of total)
ival-add: 11.0ms (4.5% of total)
ival-sub: 9.0ms (3.6% of total)
const: 2.0ms (0.8% of total)
backward-pass: 1.0ms (0.4% of total)

sample30.4s (71.8%)

Results
24.8s7062×5exit
2.2s3790×1valid
1.1s1943×2valid
761.0ms2523×0valid
245.0ms1511×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 27.4s
ival-pow: 24.7s (90.1% of total)
ival-sub: 764.0ms (2.8% of total)
backward-pass: 693.0ms (2.5% of total)
ival-div: 610.0ms (2.2% of total)
ival-add: 572.0ms (2.1% of total)
const: 62.0ms (0.2% of total)
Bogosity

preprocess52.0ms (0.1%)

Algorithm
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
iter limit
saturated
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)))

explain292.0ms (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)))
3878(4.715418878392134e+115 -4.205590790165266e-60)1(1.995720973547269e+38 1.7040006381979556)(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
371(4.715418878392134e+115 -4.205590790165266e-60)1(1.995720973547269e+38 1.7040006381979556)(pow.f64 x (/.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
00-0-(+.f64 x #s(literal 1 binary64))
Results
156.0ms292×1valid
70.0ms114×2valid
15.0ms106×0valid
Compiler

Compiled 89 to 26 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 198.0ms
ival-pow: 152.0ms (76.6% of total)
ival-add: 21.0ms (10.6% of total)
ival-div: 10.0ms (5% of total)
backward-pass: 10.0ms (5% of total)
ival-sub: 5.0ms (2.5% of total)
const: 1.0ms (0.5% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 8 computations (46.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify15.0ms (0%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

localize137.0ms (0.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy99.9%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy87.2%
(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
77.0ms146×1valid
39.0ms57×2valid
8.0ms53×0valid
Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-pow: 86.0ms (84.2% of total)
backward-pass: 5.0ms (4.9% of total)
ival-div: 4.0ms (3.9% of total)
ival-add: 3.0ms (2.9% of total)
ival-sub: 3.0ms (2.9% of total)
const: 1.0ms (1% of total)

series81.0ms (0.2%)

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

24 calls:

TimeVariablePointExpression
42.0ms
x
@0
(pow x (/ 1 n))
21.0ms
x
@-inf
(pow x (/ 1 n))
6.0ms
x
@inf
(pow x (/ 1 n))
2.0ms
n
@inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0ms
x
@inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite287.0ms (0.7%)

Algorithm
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
0826
15924
242024
3477924
0825524
Stop Event
iter limit
node limit
Counts
5 → 279
Calls
Call 1
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
(/ 1 n)
(pow x (/ 1 n))
Outputs
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
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(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.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 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
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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))))
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(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
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(*.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)))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (/.f64 (log.f64 x) (*.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n #s(literal 2 binary64))) (/.f64 (log.f64 x) (*.f64 n #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(pow.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))
(pow.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 x))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))
(*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))))
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)))) (pow.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))))

simplify270.0ms (0.6%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02631600
18111440
225561362
082491362
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
1
(+ 1 (/ (log x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
1
(+ 1 (/ (log x) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
Outputs
(- 1 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(+.f64 (/.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)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (+.f64 (/.f64 #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)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (*.f64 x (*.f64 x x))))))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 x n))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x))) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/3 binary64) n)) x))) x)) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/3 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) x))) x)) x)) x)
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (+.f64 (log1p.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 x))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(-.f64 (/.f64 (+.f64 (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 n n))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 x))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(/.f64 (+.f64 (+.f64 (log1p.f64 x) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 n n))))) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (+.f64 (log.f64 x) (/.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) n)))) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) n)) (*.f64 n n)))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (log.f64 x) (+.f64 (log1p.f64 x) (*.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 #s(literal 0 binary64) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1/24 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))))) n)) n)) (-.f64 #s(literal 0 binary64) n))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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))))))))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 x n)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x))) x))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/3 binary64) n)) x))) x)) x))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 n n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log1p.f64 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n)) n)) n))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(exp (/ (log x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
1
#s(literal 1 binary64)
(+ 1 (/ (log x) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) n))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
1
#s(literal 1 binary64)
(+ 1 (/ (log x) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))) n)) n))

eval64.0ms (0.2%)

Compiler

Compiled 13112 to 1271 computations (90.3% saved)

prune74.0ms (0.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New42015435
Fresh000
Picked101
Done000
Total42115436
Accuracy
99.7%
Counts
436 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.3%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
23.1%
(/.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)))))
23.1%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (neg.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))))))
23.1%
(/.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))))
72.1%
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n))
57.6%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
32.2%
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (+.f64 (/.f64 #s(literal 1/2 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)
63.1%
(/.f64 (+.f64 (log1p.f64 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 x))) n)
15.2%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
28.2%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
20.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
11.7%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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)))))))))) (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)))
34.6%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
19.1%
(+.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) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))
Compiler

Compiled 748 to 430 computations (42.5% saved)

simplify161.0ms (0.4%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 x)
cost-diff0
(/.f64 (log1p.f64 x) n)
cost-diff0
(exp.f64 (/.f64 (log1p.f64 x) n))
cost-diff0
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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))))))))
cost-diff0
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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)))))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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))))))))))
cost-diff0
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff0
(/.f64 #s(literal -1 binary64) n)
cost-diff0
(pow.f64 x (/.f64 #s(literal -1 binary64) n))
cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
cost-diff0
(/.f64 #s(literal 1 binary64) n)
cost-diff0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
cost-diff0
(log.f64 x)
cost-diff0
(-.f64 (log.f64 x) (log1p.f64 x))
cost-diff0
(-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n))
cost-diff128
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n))
Rules
2740×*-lowering-*.f32
2740×*-lowering-*.f64
2462×+-lowering-+.f64
2462×+-lowering-+.f32
1240×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058555
1149541
2473541
31764540
08866540
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))
(- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))
(- (log x) (log (+ 1 x)))
(log x)
x
(log (+ 1 x))
(/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)
(- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3))))
(* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
1/2
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log (+ 1 x)) 2)
2
(pow (log x) 2)
(* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
(/ -1/6 n)
-1/6
n
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(pow (log (+ 1 x)) 3)
3
(pow (log x) 3)
(- 0 n)
0
(- 1 (pow x (/ 1 n)))
1
(pow x (/ 1 n))
x
(/ 1 n)
n
(/ (/ 1 (pow x (/ -1 n))) (* x n))
(/ 1 (pow x (/ -1 n)))
1
(pow x (/ -1 n))
x
(/ -1 n)
-1
n
(* x n)
(- (+ 1 (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))))) (pow x (/ 1 n)))
(+ 1 (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))))))))
1
(* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))))
x
(+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))))))
(/ 1 n)
n
(* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))
(+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))))
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(/ 1/2 (* n n))
1/2
(* n n)
(/ -1/2 n)
-1/2
(* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))
(/ 1/6 (* n (* n n)))
1/6
(* n (* n n))
(+ (/ 1/3 n) (/ -1/2 (* n n)))
(/ 1/3 n)
1/3
(/ -1/2 (* n n))
(pow x (/ 1 n))
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(exp (/ (log (+ 1 x)) n))
(/ (log (+ 1 x)) n)
(log (+ 1 x))
x
n
(pow x (/ 1 n))
(/ 1 n)
1
Outputs
(/ (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (-.f64 (log.f64 x) (log1p.f64 x))) n)
(- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))
(- (log x) (log (+ 1 x)))
(-.f64 (log.f64 x) (log1p.f64 x))
(log x)
(log.f64 x)
x
(log (+ 1 x))
(log1p.f64 x)
(/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)
(- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n)))
(* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
1/2
#s(literal 1/2 binary64)
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log (+ 1 x)) 2)
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
(*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(/ -1/6 n)
(/.f64 #s(literal -1/6 binary64) n)
-1/6
#s(literal -1/6 binary64)
n
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow (log (+ 1 x)) 3)
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(- 0 n)
(-.f64 #s(literal 0 binary64) n)
0
#s(literal 0 binary64)
(- 1 (pow x (/ 1 n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
1
#s(literal 1 binary64)
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(/ (/ 1 (pow x (/ -1 n))) (* x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 x (+.f64 (/.f64 #s(literal -1 binary64) n) #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)
-1
#s(literal -1 binary64)
n
(* x n)
(*.f64 x n)
(- (+ 1 (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))))) (pow x (/ 1 n)))
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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))))))))))
(+ 1 (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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))))))))))
1
#s(literal 1 binary64)
(* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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)))))))))
x
(+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))))))
(+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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))))))))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))
(*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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)))))))
(+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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))))))
(+ (/ 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)
(* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))
(*.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)))))
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))
(+.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))))
(/ 1/6 (* n (* n n)))
(/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))
1/6
#s(literal 1/6 binary64)
(* n (* n n))
(*.f64 n (*.f64 n n))
(+ (/ 1/3 n) (/ -1/2 (* n n)))
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
1/3
#s(literal 1/3 binary64)
(/ -1/2 (* n n))
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/ (log (+ 1 x)) n)
(/.f64 (log1p.f64 x) n)
(log (+ 1 x))
(log1p.f64 x)
x
n
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)

localize1.1s (2.5%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log1p.f64 x)
accuracy100.0%
(exp.f64 (/.f64 (log1p.f64 x) n))
accuracy100.0%
(/.f64 (log1p.f64 x) n)
accuracy73.5%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy95.9%
(*.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)))))
accuracy94.4%
(*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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)))))))
accuracy91.0%
(+.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))))
accuracy73.5%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy100.0%
(/.f64 #s(literal -1 binary64) n)
accuracy100.0%
(*.f64 x n)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
accuracy89.9%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
accuracy73.5%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy99.8%
(*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
accuracy99.8%
(/.f64 #s(literal -1/6 binary64) n)
accuracy99.6%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy99.5%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
Results
697.0ms112×5exit
143.0ms63×2valid
76.0ms51×1valid
18.0ms27×0unsamplable
2.0ms0valid
Compiler

Compiled 605 to 58 computations (90.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 755.0ms
ival-pow: 224.0ms (29.7% of total)
ival-log: 111.0ms (14.7% of total)
backward-pass: 94.0ms (12.5% of total)
ival-div: 69.0ms (9.1% of total)
ival-exp: 61.0ms (8.1% of total)
ival-mult: 50.0ms (6.6% of total)
...c/correct-round.rkt:119:19: 49.0ms (6.5% of total)
ival-sub: 41.0ms (5.4% of total)
compiled-spec: 29.0ms (3.8% of total)
ival-add: 24.0ms (3.2% of total)
const: 3.0ms (0.4% of total)

series130.0ms (0.3%)

Counts
27 → 540
Calls
Call 1
Inputs
#<alt (/ (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))>
#<alt (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))>
#<alt (- (log x) (log (+ 1 x)))>
#<alt (log x)>
#<alt (- 1 (pow x (/ 1 n)))>
#<alt (pow x (/ 1 n))>
#<alt (/ 1 n)>
#<alt (/ (/ 1 (pow x (/ -1 n))) (* x n))>
#<alt (/ 1 (pow x (/ -1 n)))>
#<alt (pow x (/ -1 n))>
#<alt (/ -1 n)>
#<alt (- (+ 1 (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))))) (pow x (/ 1 n)))>
#<alt (+ 1 (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))))))))>
#<alt (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))))>
#<alt (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))))))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (/ (log (+ 1 x)) n)>
#<alt (log (+ 1 x))>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 2)>
#<alt (/ -1/6 n)>
#<alt (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))>
#<alt (* x n)>
#<alt (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))>
#<alt (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))>
#<alt (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))>
Outputs
#<alt (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n))>
#<alt (+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (/ x n))>
#<alt (+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))>
#<alt (+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))>
#<alt (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (* n x)))>
#<alt (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x))) x)>
#<alt (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) n)) (+ (* 1/3 (/ 1 n)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n)))) (pow x 2))) (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x)))) x)>
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#<alt (* -1 (/ (* x (+ 1/2 (* -1/3 x))) n))>
#<alt (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) n))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) n))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) n))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* 1/6 (/ x (pow n 3)))>
#<alt (/ (+ (* -1/2 (* n x)) (* 1/6 x)) (pow n 3))>
#<alt (/ (+ (* 1/6 x) (* n (+ (* -1/2 x) (* 1/3 (* n x))))) (pow n 3))>
#<alt (/ (+ (* 1/6 x) (* n (+ (* -1/2 x) (* 1/3 (* n x))))) (pow n 3))>
#<alt (* 1/3 (/ x n))>
#<alt (/ (+ (* -1/2 (/ x n)) (* 1/3 x)) n)>
#<alt (/ (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (* 1/3 x))) n)>
#<alt (/ (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (* 1/3 x))) n)>
#<alt (* 1/3 (/ x n))>
#<alt (* -1 (/ (+ (* -1/3 x) (* 1/2 (/ x n))) n))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ x n))) n)) (* -1/3 x)) n))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ x n))) n)) (* -1/3 x)) n))>
Calls

135 calls:

TimeVariablePointExpression
28.0ms
n
@0
(/ (log (+ 1 x)) n)
12.0ms
n
@0
(* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
8.0ms
x
@0
(/ (/ 1 (pow x (/ -1 n))) (* x n))
6.0ms
x
@-inf
(/ (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))
5.0ms
n
@inf
(/ (log (+ 1 x)) n)

rewrite305.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
3010×*-lowering-*.f32
3010×*-lowering-*.f64
2508×/-lowering-/.f32
2508×/-lowering-/.f64
1508×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058355
1463328
25479328
08071328
Stop Event
iter limit
node limit
Counts
27 → 478
Calls
Call 1
Inputs
(/ (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))
(- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))
(- (log x) (log (+ 1 x)))
(log x)
(- 1 (pow x (/ 1 n)))
(pow x (/ 1 n))
(/ 1 n)
(/ (/ 1 (pow x (/ -1 n))) (* x n))
(/ 1 (pow x (/ -1 n)))
(pow x (/ -1 n))
(/ -1 n)
(- (+ 1 (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))))) (pow x (/ 1 n)))
(+ 1 (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))))))))
(* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))))
(+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))))))
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(exp (/ (log (+ 1 x)) n))
(/ (log (+ 1 x)) n)
(log (+ 1 x))
(pow (log x) 3)
(pow (log x) 2)
(/ -1/6 n)
(* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
(* x n)
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))
(* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))
(* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))
Outputs
(+.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
(-.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) (/.f64 (+.f64 (log1p.f64 x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n)))
(-.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n))))
(fma.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (+.f64 (log1p.f64 x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n))))
(fma.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
(fma.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 x) (neg.f64 (/.f64 (+.f64 (log1p.f64 x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n))))
(fma.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n) (neg.f64 (/.f64 (+.f64 (log1p.f64 x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n))))
(fma.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 n (-.f64 #s(literal 0 binary64) (*.f64 n n)))) (*.f64 n n) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
(fma.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
(neg.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n))
(neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) #s(literal 1 binary64)))
(/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (/.f64 n #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))))
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n)
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) (*.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) n)))
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(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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))))))) x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (*.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))))))) x)
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 x (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))))
(+.f64 (/.f64 x (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.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 #s(literal 1/3 binary64) n))) (*.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) x) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) x))
(fma.f64 x (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))
(fma.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) x (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 x (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (/.f64 x (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64)))) (-.f64 (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (*.f64 (/.f64 x (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))))
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(/.f64 (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))) (+.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))))))
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(*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))
(*.f64 (+.f64 (/.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)

simplify321.0ms (0.8%)

Algorithm
egg-herbie
Rules
3572×*-lowering-*.f32
3572×*-lowering-*.f64
3166×+-lowering-+.f64
3166×+-lowering-+.f32
1712×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0132211436
1458010803
0835810803
Stop Event
iter limit
node limit
Counts
540 → 540
Calls
Call 1
Inputs
(* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n))
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (/ x n))
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))
(* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (* n x)))
(/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x))) x)
(/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) n)) (+ (* 1/3 (/ 1 n)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n)))) (pow x 2))) (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x)))) x)
(/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) n)) (+ (* 1/3 (/ 1 n)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n)))) (pow x 2))) (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (+ (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x)) (* -1 (/ (- (+ (* -1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/4 (/ 1 n))) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n))) (pow x 3)))))) x)
(/ (- (+ 1 (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2)))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x))
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Outputs
(* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n))
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(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(*.f64 (*.f64 x 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)))))
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))))
(* 1/6 (/ (pow x 2) (pow n 3)))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n)))
(/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3))
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n)))
(/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (* x (- (* 1/3 x) 1/2))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3))
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))) (*.f64 n (*.f64 n n)))
(/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (* x (- (* 1/3 x) 1/2))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3))
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))) (*.f64 n (*.f64 n n)))
(/ (* x (- (* 1/3 x) 1/2)) n)
(/.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) n)
(/ (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)) n)
(/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n)
(/ (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n)
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n n)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n)
(/ (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n)
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n n)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n)
(* -1 (/ (* x (+ 1/2 (* -1/3 x))) n))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) n))
(* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) n))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n))
(* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) n))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) n)) n)) n))
(* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) n))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) n)) n)) n))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(*.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)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(*.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)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(*.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)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(*.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)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(*.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)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(*.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)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(*.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)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(*.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)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(*.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)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(*.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)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(*.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)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(*.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)))))
(* 1/6 (/ x (pow n 3)))
(*.f64 #s(literal 1/6 binary64) (/.f64 x (*.f64 n (*.f64 n n))))
(/ (+ (* -1/2 (* n x)) (* 1/6 x)) (pow n 3))
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x n)) (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/ (+ (* 1/6 x) (* n (+ (* -1/2 x) (* 1/3 (* n x))))) (pow n 3))
(/.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 x n))))) (*.f64 n (*.f64 n n)))
(/ (+ (* 1/6 x) (* n (+ (* -1/2 x) (* 1/3 (* n x))))) (pow n 3))
(/.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 x n))))) (*.f64 n (*.f64 n n)))
(* 1/3 (/ x n))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) n)
(/ (+ (* -1/2 (/ x n)) (* 1/3 x)) n)
(/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x n))) n)
(/ (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (* 1/3 x))) n)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x n)) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n n)))) n)
(/ (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (* 1/3 x))) n)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x n)) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n n)))) n)
(* 1/3 (/ x n))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) n)
(* -1 (/ (+ (* -1/3 x) (* 1/2 (/ x n))) n))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) n))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ x n))) n)) (* -1/3 x)) n))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) n)) n)) n))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ x n))) n)) (* -1/3 x)) n))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) n)) n)) n))

eval169.0ms (0.4%)

Compiler

Compiled 53973 to 4212 computations (92.2% saved)

prune149.0ms (0.4%)

Pruning

40 alts after pruning (39 fresh and 1 done)

PrunedKeptTotal
New1246371283
Fresh8210
Picked415
Done000
Total1258401298
Accuracy
99.9%
Counts
1298 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.3%
(fma.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 n (-.f64 #s(literal 0 binary64) (*.f64 n n)))) (*.f64 n n) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
54.3%
(/.f64 (pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x n))
54.3%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
55.0%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
55.0%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
55.4%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))))) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) n)) (-.f64 #s(literal 0 binary64) n))
54.3%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))) (*.f64 x n))
54.3%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
32.9%
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
72.0%
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n))
34.9%
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n))
36.1%
(/.f64 (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n)
45.2%
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal -1/6 binary64)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n)
30.8%
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (log.f64 x)) n)
36.7%
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) n)
57.6%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
23.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
31.2%
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n)
32.2%
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (+.f64 (/.f64 #s(literal 1/2 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)
8.4%
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n)))
8.1%
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n)))
55.8%
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n)
30.2%
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) n)) (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))))
33.2%
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) n)) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
9.4%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
54.3%
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
55.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))
35.7%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
43.4%
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)))
38.9%
(-.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n))))
28.2%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
21.5%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n n)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
20.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
6.5%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 n n) #s(literal 1/3 binary64)) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
4.7%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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)))))))))) #s(literal 1 binary64))
34.6%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
30.3%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
26.1%
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
55.7%
(*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))
6.6%
(*.f64 (*.f64 x (*.f64 x 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)))))
Compiler

Compiled 2671 to 1444 computations (45.9% saved)

simplify149.0ms (0.4%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x (+.f64 x #s(literal 1 binary64)))
cost-diff0
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
cost-diff64
(+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))
cost-diff64
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n)
cost-diff0
(log.f64 x)
cost-diff0
(log1p.f64 x)
cost-diff0
(-.f64 (log1p.f64 x) (log.f64 x))
cost-diff0
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
cost-diff0
(/.f64 #s(literal 1 binary64) n)
cost-diff0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
cost-diff0
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
cost-diff0
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
cost-diff128
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
cost-diff0
(-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))
cost-diff0
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
cost-diff0
(-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n))
cost-diff128
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n))
Rules
2490×*-lowering-*.f32
2490×*-lowering-*.f64
1970×sum5-define
1424×sum3-define
1256×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053593
1122572
2304572
3998571
44098571
08269571
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))
(- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))
(/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1))))))
(- (pow (log x) 3) (pow (log (+ 1 x)) 3))
(pow (log x) 3)
(log x)
x
3
(pow (log (+ 1 x)) 3)
(log (+ 1 x))
(+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))
(pow (log (+ 1 x)) 2)
2
(* (log x) (log (* x (+ x 1))))
(log (* x (+ x 1)))
(* x (+ x 1))
(+ x 1)
1
(/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)
(- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3))))
(* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
1/2
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log x) 2)
(* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
(/ -1/6 n)
-1/6
n
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(- 0 n)
0
(- 1 1)
1
(/ (/ (pow x (/ 1 n)) x) n)
(/ (pow x (/ 1 n)) x)
(pow x (/ 1 n))
x
(/ 1 n)
1
n
(/ (- (log (+ 1 x)) (log x)) n)
(- (log (+ 1 x)) (log x))
(log (+ 1 x))
x
(log x)
n
(/ (+ (neg (log (/ x (+ x 1)))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)) n)
(+ (neg (log (/ x (+ x 1)))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))
(neg (log (/ x (+ x 1))))
(log (/ x (+ x 1)))
(/ x (+ x 1))
x
(+ x 1)
1
(/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)
(+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n)))
(* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x))))
1/2
(* (log (* x (+ x 1))) (log (/ (+ x 1) x)))
(log (* x (+ x 1)))
(* x (+ x 1))
(log (/ (+ x 1) x))
(/ (+ x 1) x)
(* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(pow (log (+ 1 x)) 3)
(log (+ 1 x))
3
(pow (log x) 3)
(log x)
(/ 1/6 n)
1/6
n
Outputs
(/ (- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))) n)
(- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))
(+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) n))
(/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(- (pow (log x) 3) (pow (log (+ 1 x)) 3))
(-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(log x)
(log.f64 x)
x
3
#s(literal 3 binary64)
(pow (log (+ 1 x)) 3)
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
(log (+ 1 x))
(log1p.f64 x)
(+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))
(+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(pow (log (+ 1 x)) 2)
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (log x) (log (* x (+ x 1))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(log (* x (+ x 1)))
(log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))
(* x (+ x 1))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n)
(- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))))
(* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
1/2
#s(literal 1/2 binary64)
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
(*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(/ -1/6 n)
(/.f64 #s(literal -1/6 binary64) n)
-1/6
#s(literal -1/6 binary64)
n
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(- 0 n)
(-.f64 #s(literal 0 binary64) n)
0
#s(literal 0 binary64)
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(/ (/ (pow x (/ 1 n)) x) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/ (pow x (/ 1 n)) x)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
(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
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(- (log (+ 1 x)) (log x))
(-.f64 (log1p.f64 x) (log.f64 x))
(log (+ 1 x))
(log1p.f64 x)
x
(log x)
(log.f64 x)
n
(/ (+ (neg (log (/ x (+ x 1)))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)) n)
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(+ (neg (log (/ x (+ x 1)))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))
(-.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(neg (log (/ x (+ x 1))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(log (/ x (+ x 1)))
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/ x (+ x 1))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)
(/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n)
(+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n)))
(+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))))
(* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x))))
(*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
1/2
#s(literal 1/2 binary64)
(* (log (* x (+ x 1))) (log (/ (+ x 1) x)))
(*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(log (* x (+ x 1)))
(log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))
(* x (+ x 1))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(log (/ (+ x 1) x))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/ (+ x 1) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))
(*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow (log (+ 1 x)) 3)
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
(log (+ 1 x))
(log1p.f64 x)
3
#s(literal 3 binary64)
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(log x)
(log.f64 x)
(/ 1/6 n)
(/.f64 #s(literal 1/6 binary64) n)
1/6
#s(literal 1/6 binary64)
n

localize1.3s (3%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))
accuracy99.8%
(/.f64 #s(literal 1/6 binary64) n)
accuracy99.8%
(*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
accuracy99.7%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
accuracy100.0%
(log1p.f64 x)
accuracy100.0%
(log.f64 x)
accuracy100.0%
(-.f64 (log1p.f64 x) (log.f64 x))
accuracy99.9%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
accuracy100.0%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
accuracy100.0%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
accuracy99.8%
(/.f64 #s(literal -1/6 binary64) n)
accuracy99.8%
(*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
accuracy99.8%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
accuracy99.7%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
Results
1.1s186×5exit
89.0ms65×1valid
3.0ms0valid
Compiler

Compiled 612 to 53 computations (91.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 924.0ms
ival-log: 439.0ms (47.5% of total)
backward-pass: 104.0ms (11.3% of total)
ival-div: 97.0ms (10.5% of total)
ival-pow: 88.0ms (9.5% of total)
ival-mult: 55.0ms (6% of total)
...c/correct-round.rkt:119:19: 51.0ms (5.5% of total)
ival-sub: 33.0ms (3.6% of total)
ival-add: 27.0ms (2.9% of total)
compiled-spec: 21.0ms (2.3% of total)
ival-neg: 6.0ms (0.6% of total)
const: 3.0ms (0.3% of total)

series118.0ms (0.3%)

Counts
24 → 384
Calls
Call 1
Inputs
#<alt (/ (- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))>
#<alt (- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))>
#<alt (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1))))))>
#<alt (- (pow (log x) 3) (pow (log (+ 1 x)) 3))>
#<alt (- 1 1)>
#<alt (/ (/ (pow x (/ 1 n)) x) n)>
#<alt (/ (pow x (/ 1 n)) x)>
#<alt (pow x (/ 1 n))>
#<alt (/ 1 n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (- (log (+ 1 x)) (log x))>
#<alt (log (+ 1 x))>
#<alt (log x)>
#<alt (/ (+ (neg (log (/ x (+ x 1)))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)) n)>
#<alt (+ (neg (log (/ x (+ x 1)))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))>
#<alt (log (/ x (+ x 1)))>
#<alt (/ x (+ x 1))>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 2)>
#<alt (* (log x) (log (* x (+ x 1))))>
#<alt (/ -1/6 n)>
#<alt (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))>
#<alt (/ 1/6 n)>
#<alt (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))>
Outputs
#<alt (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n))>
#<alt (+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (/ x n))>
#<alt (+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))>
#<alt (+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* x (+ (* -1 (* x (- (+ (* 1/2 (/ 1 (* n (log x)))) (* 1/2 (/ 1 (pow n 2)))) (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (pow (log x) 2)))) (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1 (* n (pow (log x) 2))))))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))>
#<alt (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (* n x)))>
#<alt (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- 1 (* -1 (/ (* (pow (log (/ 1 x)) 3) (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))) (pow (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) 2))))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* -2 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)) (/ (* (pow (log (/ 1 x)) 3) (pow (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2)) (* n (pow (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) 3)))))))) x))) x)>
#<alt (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (+ (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- 1 (* -1 (/ (* (pow (log (/ 1 x)) 3) (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))) (pow (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) 2))))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* -2 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)) (/ (* (pow (log (/ 1 x)) 3) (pow (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2)) (* n (pow (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) 3)))))))) x)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) n)) (+ (/ (* (+ 1 (+ (log (/ 1 x)) (* 1/2 (log (/ 1 x))))) (- 1 (* -1 (/ (* (pow (log (/ 1 x)) 3) (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))) (pow (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) 2))))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- (+ (* -2 (/ (log (/ 1 x)) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (pow (log (/ 1 x)) 3) (+ 1 (+ (log (/ 1 x)) (* 1/2 (log (/ 1 x)))))) (pow (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) 2))) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- 1 (* -1 (/ (* (pow (log (/ 1 x)) 3) (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))) (pow (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) 2))))) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* -1 (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (+ (* -1 (/ (* (pow (log (/ 1 x)) 3) (+ 1 (+ (log (/ 1 x)) (* 1/2 (log (/ 1 x)))))) (pow (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) 2))) (/ (* (pow (log (/ 1 x)) 3) (pow (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2)) (pow (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) 3)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n)) (+ (* 2 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (/ 1 (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))) (/ (* (pow (log (/ 1 x)) 3) (* (+ 1 (+ (log (/ 1 x)) (* 1/2 (log (/ 1 x))))) (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))))) (* n (pow (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) 3)))))))))) (pow x 2))))) x)>
#<alt (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (+ (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- 1 (* -1 (/ (* (pow (log (/ 1 x)) 3) (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))) (pow (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) 2))))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* -2 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)) (/ (* (pow (log (/ 1 x)) 3) (pow (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2)) (* n (pow (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) 3)))))))) x)) (+ (* -1 (/ (- (+ (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) n)) (+ (/ (* (+ 1 (+ (log (/ 1 x)) (* 1/2 (log (/ 1 x))))) (- 1 (* -1 (/ (* (pow (log (/ 1 x)) 3) (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))) (pow (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) 2))))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- (+ (* -2 (/ (log (/ 1 x)) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (pow (log (/ 1 x)) 3) (+ 1 (+ (log (/ 1 x)) (* 1/2 (log (/ 1 x)))))) (pow (+ (* 2 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Calls

96 calls:

TimeVariablePointExpression
20.0ms
x
@-inf
(/ (- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))
13.0ms
x
@inf
(/ (- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))
11.0ms
x
@-inf
(- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))
8.0ms
n
@inf
(/ (+ (neg (log (/ x (+ x 1)))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)) n)
6.0ms
x
@inf
(- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))

rewrite278.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
3394×*-lowering-*.f32
3394×*-lowering-*.f64
1810×/-lowering-/.f32
1810×/-lowering-/.f64
1448×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053333
1383237
24309237
08520237
Stop Event
iter limit
node limit
Counts
24 → 808
Calls
Call 1
Inputs
(/ (- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))
(- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))
(/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1))))))
(- (pow (log x) 3) (pow (log (+ 1 x)) 3))
(- 1 1)
(/ (/ (pow x (/ 1 n)) x) n)
(/ (pow x (/ 1 n)) x)
(pow x (/ 1 n))
(/ 1 n)
(/ (- (log (+ 1 x)) (log x)) n)
(- (log (+ 1 x)) (log x))
(log (+ 1 x))
(log x)
(/ (+ (neg (log (/ x (+ x 1)))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)) n)
(+ (neg (log (/ x (+ x 1)))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))
(log (/ x (+ x 1)))
(/ x (+ x 1))
(pow (log x) 3)
(pow (log x) 2)
(* (log x) (log (* x (+ x 1))))
(/ -1/6 n)
(* (log (* x (+ x 1))) (log (/ (+ x 1) x)))
(/ 1/6 n)
(* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))
Outputs
(+.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) n) n))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) n) n)))
(fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) n) n))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (-.f64 #s(literal 0 binary64) n)) (neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) n) n))))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) n) n))))
(fma.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n) (neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) n) n))))
(fma.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) n) n))))
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n) (neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) n) n))))
(fma.f64 #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) n) n))))
(fma.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n) (neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) n) n))))
(fma.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n n) (neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) n) n))))
(fma.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n (neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) n) n))))
(neg.f64 (/.f64 (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n)) (-.f64 #s(literal 0 binary64) n)))
(neg.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n)) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n))) #s(literal 1 binary64)))
(/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n)) n)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n)))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))))) (*.f64 (-.f64 #s(literal 0 binary64) n) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) n)))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) #s(literal 3 binary64))) (*.f64 n (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) #s(literal 2 binary64))) (*.f64 n (-.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) n))))
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simplify420.0ms (1%)

Algorithm
egg-herbie
Rules
4422×+-lowering-+.f64
4422×+-lowering-+.f32
3918×*-lowering-*.f32
3918×*-lowering-*.f64
2558×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0189527166
1698827060
0836027060
Stop Event
iter limit
node limit
Counts
384 → 384
Calls
Call 1
Inputs
(* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n))
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (/ x n))
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
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(* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (* n x)))
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Outputs
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(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)

eval237.0ms (0.6%)

Compiler

Compiled 95831 to 6404 computations (93.3% saved)

prune168.0ms (0.4%)

Pruning

43 alts after pruning (41 fresh and 2 done)

PrunedKeptTotal
New1505241529
Fresh171734
Picked415
Done011
Total1526431569
Accuracy
99.9%
Counts
1569 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.3%
(/.f64 (pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x n))
54.3%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
13.8%
(/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) x) n)
13.8%
(/.f64 (/.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) x) n)
55.0%
(/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n)
55.0%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
25.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
41.6%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n)
54.3%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))) (*.f64 x n))
54.3%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
36.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
48.4%
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n))
46.9%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
25.2%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
45.2%
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal -1/6 binary64)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n)
36.7%
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) n)
31.2%
(/.f64 (-.f64 x (log.f64 x)) n)
23.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
29.4%
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))) (*.f64 n (*.f64 n n)))
8.4%
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n)))
8.1%
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n)))
57.8%
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
40.9%
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
9.4%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
25.1%
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n)
57.8%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
54.3%
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
53.9%
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64))) n)
57.7%
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
57.7%
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
35.7%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
28.2%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
38.7%
(-.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n))) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (*.f64 n n)))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))) n)))) (/.f64 (log.f64 x) n))
21.5%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n n)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
20.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
4.7%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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)))))))))) #s(literal 1 binary64))
34.6%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
34.2%
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
57.7%
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
6.6%
(*.f64 (*.f64 x (*.f64 x 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)))))
25.1%
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))
31.2%
(neg.f64 (/.f64 (log.f64 x) n))
30.3%
#s(literal 0 binary64)
Compiler

Compiled 1746 to 1093 computations (37.4% saved)

simplify148.0ms (0.4%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
cost-diff0
(*.f64 (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64))
cost-diff12800
(exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64)))
cost-diff12800
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64))) n)
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n))
cost-diff0
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x)
cost-diff0
(/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n)
cost-diff128
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x))
cost-diff128
(-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n))
cost-diff128
(/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)
cost-diff192
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))
cost-diff0
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
cost-diff0
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
cost-diff128
(*.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) n))
cost-diff128
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
Rules
1850×fnmadd-define
1680×fmsub-define
1578×fmm-def
1564×/-lowering-/.f32
1564×/-lowering-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049370
1115360
2262346
3904346
43546346
08711346
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1 n)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1))))))
(* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1 n))
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(pow (log (+ 1 x)) 3)
(log (+ 1 x))
x
3
(pow (log x) 3)
(log x)
(/ 1 n)
1
n
(+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))
(pow (log (+ 1 x)) 2)
2
(* (log x) (log (* x (+ x 1))))
(log (* x (+ x 1)))
(* x (+ x 1))
(+ x 1)
0
(neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n)) x))
(/ (- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n)) x)
(- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n))
(neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x))
(/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)
(- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n))
(neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x))
(/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)
(- (/ 1/4 (* x n)) (/ 1/3 n))
(/ 1/4 (* x n))
1/4
(* x n)
x
n
(/ 1/3 n)
1/3
(/ 1/2 n)
1/2
(/ 1 n)
1
(/ (/ (pow (/ 1 x) (/ -1 n)) x) n)
(/ (pow (/ 1 x) (/ -1 n)) x)
(pow (/ 1 x) (/ -1 n))
(/ 1 x)
1
x
(/ -1 n)
-1
n
(/ (exp (* (log (/ x (pow x (/ 1 n)))) -1)) n)
(exp (* (log (/ x (pow x (/ 1 n)))) -1))
(* (log (/ x (pow x (/ 1 n)))) -1)
(log (/ x (pow x (/ 1 n))))
(/ x (pow x (/ 1 n)))
x
(pow x (/ 1 n))
(/ 1 n)
1
n
-1
Outputs
(/ (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1 n)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1 n))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow (log (+ 1 x)) 3)
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
(log (+ 1 x))
(log1p.f64 x)
x
3
#s(literal 3 binary64)
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(log x)
(log.f64 x)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)
n
(+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))
(+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(pow (log (+ 1 x)) 2)
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (log x) (log (* x (+ x 1))))
(*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(log (* x (+ x 1)))
(log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(* x (+ x 1))
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
0
#s(literal 0 binary64)
(neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n)) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 x n))) x) (/.f64 #s(literal -1/2 binary64) n)) x)) x)
(/ (- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n)) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal -1 binary64) n)) x)
(- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n))
(+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal -1 binary64) n))
(neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x) (/.f64 #s(literal 1/2 binary64) n)) x)
(/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 x n))) x) (/.f64 #s(literal -1/2 binary64) n)) x)
(- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 x n))) x) (/.f64 #s(literal -1/2 binary64) n))
(neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 x n))) x)
(/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x)
(- (/ 1/4 (* x n)) (/ 1/3 n))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n))
(/ 1/4 (* x n))
(/.f64 #s(literal 1/4 binary64) (*.f64 x n))
1/4
#s(literal 1/4 binary64)
(* x n)
(*.f64 x n)
x
n
(/ 1/3 n)
(/.f64 #s(literal 1/3 binary64) n)
1/3
#s(literal 1/3 binary64)
(/ 1/2 n)
(/.f64 #s(literal 1/2 binary64) n)
1/2
#s(literal 1/2 binary64)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)
(/ (/ (pow (/ 1 x) (/ -1 n)) x) n)
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (*.f64 x n))
(/ (pow (/ 1 x) (/ -1 n)) x)
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x)
(pow (/ 1 x) (/ -1 n))
(pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ -1 n)
(/.f64 #s(literal -1 binary64) n)
-1
#s(literal -1 binary64)
n
(/ (exp (* (log (/ x (pow x (/ 1 n)))) -1)) n)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(exp (* (log (/ x (pow x (/ 1 n)))) -1))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x))
(* (log (/ x (pow x (/ 1 n)))) -1)
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(log (/ x (pow x (/ 1 n))))
(log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/ x (pow x (/ 1 n)))
(/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
x
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)
n
-1
#s(literal -1 binary64)

localize529.0ms (1.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
accuracy100.0%
(/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
accuracy100.0%
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64))) n)
accuracy99.0%
(exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy100.0%
(/.f64 #s(literal -1 binary64) n)
accuracy100.0%
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x)
accuracy100.0%
(/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n)
accuracy99.9%
(/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)
accuracy99.9%
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)
accuracy99.9%
(/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)
accuracy99.9%
(/.f64 #s(literal 1/3 binary64) n)
accuracy99.9%
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
accuracy99.9%
(*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
accuracy99.9%
(*.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) n))
accuracy99.8%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
Results
373.0ms135×5exit
45.0ms87×0unsamplable
37.0ms33×1valid
0.0ms0valid
Compiler

Compiled 395 to 49 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 329.0ms
ival-pow: 82.0ms (24.9% of total)
ival-log: 73.0ms (22.2% of total)
backward-pass: 57.0ms (17.3% of total)
ival-div: 44.0ms (13.4% of total)
ival-mult: 18.0ms (5.5% of total)
compiled-spec: 17.0ms (5.2% of total)
ival-add: 12.0ms (3.6% of total)
ival-sub: 9.0ms (2.7% of total)
...c/correct-round.rkt:119:19: 7.0ms (2.1% of total)
ival-neg: 6.0ms (1.8% of total)
ival-exp: 4.0ms (1.2% of total)
const: 2.0ms (0.6% of total)

series186.0ms (0.4%)

Counts
23 → 468
Calls
Call 1
Inputs
#<alt (/ (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1 n)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1))))))>
#<alt (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1 n))>
#<alt (- (pow (log (+ 1 x)) 3) (pow (log x) 3))>
#<alt (pow (log (+ 1 x)) 3)>
#<alt (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n)) x))>
#<alt (/ (- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n)) x)>
#<alt (- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n))>
#<alt (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x))>
#<alt (/ (/ (pow (/ 1 x) (/ -1 n)) x) n)>
#<alt (/ (pow (/ 1 x) (/ -1 n)) x)>
#<alt (pow (/ 1 x) (/ -1 n))>
#<alt (/ 1 x)>
#<alt (/ (exp (* (log (/ x (pow x (/ 1 n)))) -1)) n)>
#<alt (exp (* (log (/ x (pow x (/ 1 n)))) -1))>
#<alt (* (log (/ x (pow x (/ 1 n)))) -1)>
#<alt (log (/ x (pow x (/ 1 n))))>
#<alt (pow (log x) 3)>
#<alt (* (log x) (log (* x (+ x 1))))>
#<alt (/ 1/3 n)>
#<alt (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)>
#<alt (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)>
#<alt (/ -1 n)>
#<alt (/ x (pow x (/ 1 n)))>
Outputs
#<alt (* -1 (/ (log x) n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* x (- (* 1/2 (/ 1 (* n (log x)))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))) (log x))) (* -1 (/ (- (* 1/3 (log x)) 1) (* n (log x))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))>
#<alt (/ 1 (* n x))>
#<alt (/ (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (/ 1 n))) (* -1 (/ (log (/ 1 x)) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) x)>
#<alt (/ (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 2 (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (/ 1 n)))))) (+ (* -1 (/ (log (/ 1 x)) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 1/2 (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (* -1 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))))) x)>
#<alt (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 2 (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (/ 1 n)))))))))) (+ (* -1 (/ (log (/ 1 x)) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -2/3 (/ (log (/ 1 x)) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/3 (/ (log (/ 1 x)) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 1/2 (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (/ (* (+ 1 (+ (log (/ 1 x)) (* 1/2 (log (/ 1 x))))) (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (* -1 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))) (+ (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (* -1 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* 2 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (+ (* 1/2 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (* -1 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))))))))) x)>
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* n (* x (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))))>
#<alt (* -1 (/ (+ (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (* n (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) (+ (* -1 (/ (- (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (* n (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (* n (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (* n (pow (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) 2)))) x)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (* n (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))))) x))>
#<alt (* -1 (/ (+ (* -2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (* n (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (log (/ -1 x)) (* n (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* n (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (* n (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) (+ (/ (log -1) (* n (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (* n (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))))) (+ (/ (* (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (* n (pow (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) 2))) (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (- (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (* n (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (* n (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (* n (pow (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) 2))))) (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) x)) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (* n (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (* n (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))))) (/ (* (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (* n (pow (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) 2)))) x)) (* -1 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (* n (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))))) x))>
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#<alt (* -1 (+ (log x) (log (/ 1 (exp (/ (log x) n))))))>
#<alt (* -1 (+ (log (/ 1 (exp (* -1 (/ (log (/ 1 x)) n))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ 1 (exp (* -1 (/ (log (/ 1 x)) n))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ 1 (exp (* -1 (/ (log (/ 1 x)) n))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ 1 (exp (* -1 (/ (log (/ 1 x)) n))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ -1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log (/ -1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log (/ -1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log (/ -1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (log (/ x (exp (/ (log x) n)))))>
#<alt (* -1 (log (/ x (exp (/ (log x) n)))))>
#<alt (* -1 (log (/ x (exp (/ (log x) n)))))>
#<alt (* -1 (log (/ x (exp (/ (log x) n)))))>
#<alt (* -1 (log x))>
#<alt (+ (* -1 (log x)) (/ (log x) n))>
#<alt (+ (* -1 (log x)) (+ (* -1/2 (/ (+ (* -2 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) x)) (* -1 (pow (log x) 2))) (pow n 2))) (/ (log x) n)))>
#<alt (+ (* -1 (log x)) (+ (* -1/2 (/ (+ (* -2 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) x)) (* -1 (pow (log x) 2))) (pow n 2))) (+ (* -1/6 (/ (+ (* -6 (/ (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) x)) (+ (* -6 (/ (+ (* -1 (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))))) (+ (* -1/2 (* x (pow (log x) 3))) (* 1/6 (* x (pow (log x) 3))))) x)) (* -2 (pow (log x) 3)))) (pow n 3))) (/ (log x) n))))>
#<alt (* -1 (log x))>
#<alt (+ (* -1 (log x)) (/ (log x) n))>
#<alt (+ (* -1 (log x)) (* -1 (/ (+ (* -1 (log x)) (* 1/2 (/ (+ (* -2 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) x)) (* -1 (pow (log x) 2))) n))) n)))>
#<alt (+ (* -1 (log x)) (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* -1/2 (+ (* -2 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) x)) (* -1 (pow (log x) 2)))) (* 1/6 (/ (+ (* -6 (/ (+ (* -1/6 (* x (pow (log x) 3))) (+ (* 1/2 (* x (pow (log x) 3))) (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))))) x)) (+ (* 2 (pow (log x) 3)) (* 6 (/ (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) x)))) n))) n))) n)))>
#<alt (+ (log x) (log (/ 1 (exp (/ (log x) n)))))>
#<alt (+ (log x) (log (/ 1 (exp (/ (log x) n)))))>
#<alt (+ (log x) (log (/ 1 (exp (/ (log x) n)))))>
#<alt (+ (log x) (log (/ 1 (exp (/ (log x) n)))))>
#<alt (+ (log (/ 1 (exp (* -1 (/ (log (/ 1 x)) n))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 (exp (* -1 (/ (log (/ 1 x)) n))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 (exp (* -1 (/ (log (/ 1 x)) n))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 1 (exp (* -1 (/ (log (/ 1 x)) n))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ -1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) (* -1 (log (/ -1 x))))>
#<alt (log (/ x (exp (/ (log x) n))))>
#<alt (log (/ x (exp (/ (log x) n))))>
#<alt (log (/ x (exp (/ (log x) n))))>
#<alt (log (/ x (exp (/ (log x) n))))>
#<alt (log x)>
#<alt (+ (log x) (* -1 (/ (log x) n)))>
#<alt (+ (log x) (+ (* -1 (/ (log x) n)) (* 1/2 (/ (+ (* -2 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) x)) (* -1 (pow (log x) 2))) (pow n 2)))))>
#<alt (+ (log x) (+ (* -1 (/ (log x) n)) (+ (* 1/6 (/ (+ (* -6 (/ (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) x)) (+ (* -6 (/ (+ (* -1 (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))))) (+ (* -1/2 (* x (pow (log x) 3))) (* 1/6 (* x (pow (log x) 3))))) x)) (* -2 (pow (log x) 3)))) (pow n 3))) (* 1/2 (/ (+ (* -2 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) x)) (* -1 (pow (log x) 2))) (pow n 2))))))>
#<alt (log x)>
#<alt (+ (log x) (* -1 (/ (log x) n)))>
#<alt (+ (log x) (* -1 (/ (+ (log x) (* -1/2 (/ (+ (* -2 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) x)) (* -1 (pow (log x) 2))) n))) n)))>
#<alt (+ (log x) (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (+ (* -1/6 (* x (pow (log x) 3))) (+ (* 1/2 (* x (pow (log x) 3))) (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))))) x)) (+ (* 2 (pow (log x) 3)) (* 6 (/ (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) x)))) n)) (* 1/2 (+ (* -2 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) x)) (* -1 (pow (log x) 2))))) n))) n)))>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (log x) 2)>
#<alt (+ (* x (log x)) (pow (log x) 2))>
#<alt (+ (* x (+ (log x) (* -1/2 (* x (log x))))) (pow (log x) 2))>
#<alt (+ (* x (+ (log x) (* x (+ (* -1/2 (log x)) (* 1/3 (* x (log x))))))) (pow (log x) 2))>
#<alt (* 2 (pow (log (/ 1 x)) 2))>
#<alt (+ (* -1 (/ (log (/ 1 x)) x)) (* 2 (pow (log (/ 1 x)) 2)))>
#<alt (+ (* -1 (/ (log (/ 1 x)) x)) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 2))) (* 2 (pow (log (/ 1 x)) 2))))>
#<alt (+ (* -1 (/ (log (/ 1 x)) x)) (+ (* -1/3 (/ (log (/ 1 x)) (pow x 3))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 2))) (* 2 (pow (log (/ 1 x)) 2)))))>
#<alt (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (log (/ -1 x)) x)) (/ (log -1) x)))>
#<alt (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))) x)))>
#<alt (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))) x))) x)))>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ 1/3 n)>
#<alt (/ -1/4 (* n (pow x 3)))>
#<alt (/ (- (* 1/3 (/ x n)) (* 1/4 (/ 1 n))) (pow x 3))>
#<alt (/ (- (* x (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/4 (/ 1 n))) (pow x 3))>
#<alt (/ (- (* x (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/4 (/ 1 n))) (pow x 3))>
#<alt (/ -1/2 (* n x))>
#<alt (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)>
#<alt (/ (- (/ 1/3 (* n x)) (+ (* 1/2 (/ 1 n)) (/ 1/4 (* n (pow x 2))))) x)>
#<alt (/ (- (/ 1/3 (* n x)) (+ (* 1/2 (/ 1 n)) (/ 1/4 (* n (pow x 2))))) x)>
#<alt (/ -1/2 (* n x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/3 (/ 1 (* n x)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 1/3 (/ 1 n)) (* 1/4 (/ 1 (* n x)))) x)) (* 1/2 (/ 1 n))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 1/3 (/ 1 n)) (* 1/4 (/ 1 (* n x)))) x)) (* 1/2 (/ 1 n))) x))>
#<alt (/ (- (* 1/3 (/ 1 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) (* n x))>
#<alt (/ (- (* 1/3 (/ 1 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) (* n x))>
#<alt (/ (- (* 1/3 (/ 1 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) (* n x))>
#<alt (/ (- (* 1/3 (/ 1 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) (* n x))>
#<alt (/ (- (* 1/3 (/ 1 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) (* n x))>
#<alt (/ (- (* 1/3 (/ 1 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) (* n x))>
#<alt (/ (- (* 1/3 (/ 1 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) (* n x))>
#<alt (/ (- (* 1/3 (/ 1 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) (* n x))>
#<alt (* -1 (/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (* 1/3 (/ 1 x))) (* n x)))>
#<alt (* -1 (/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (* 1/3 (/ 1 x))) (* n x)))>
#<alt (* -1 (/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (* 1/3 (/ 1 x))) (* n x)))>
#<alt (* -1 (/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (* 1/3 (/ 1 x))) (* n x)))>
#<alt (/ 1/4 (* n (pow x 2)))>
#<alt (/ (+ (* -1/3 (/ x n)) (* 1/4 (/ 1 n))) (pow x 2))>
#<alt (/ (+ (* -1/3 (/ x n)) (* 1/4 (/ 1 n))) (pow x 2))>
#<alt (/ (+ (* -1/3 (/ x n)) (* 1/4 (/ 1 n))) (pow x 2))>
#<alt (/ -1/3 (* n x))>
#<alt (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)>
#<alt (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)>
#<alt (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)>
#<alt (/ -1/3 (* n x))>
#<alt (* -1 (/ (- (* 1/3 (/ 1 n)) (* 1/4 (/ 1 (* n x)))) x))>
#<alt (* -1 (/ (- (* 1/3 (/ 1 n)) (* 1/4 (/ 1 (* n x)))) x))>
#<alt (* -1 (/ (- (* 1/3 (/ 1 n)) (* 1/4 (/ 1 (* n x)))) x))>
#<alt (/ (- (* 1/4 (/ 1 x)) 1/3) (* n x))>
#<alt (/ (- (* 1/4 (/ 1 x)) 1/3) (* n x))>
#<alt (/ (- (* 1/4 (/ 1 x)) 1/3) (* n x))>
#<alt (/ (- (* 1/4 (/ 1 x)) 1/3) (* n x))>
#<alt (/ (- (* 1/4 (/ 1 x)) 1/3) (* n x))>
#<alt (/ (- (* 1/4 (/ 1 x)) 1/3) (* n x))>
#<alt (/ (- (* 1/4 (/ 1 x)) 1/3) (* n x))>
#<alt (/ (- (* 1/4 (/ 1 x)) 1/3) (* n x))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) (* n x)))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) (* n x)))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) (* n x)))>
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) (* n x)))>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ -1 n)>
#<alt (/ x (exp (/ (log x) n)))>
#<alt (/ x (exp (/ (log x) n)))>
#<alt (/ x (exp (/ (log x) n)))>
#<alt (/ x (exp (/ (log x) n)))>
#<alt (/ x (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (/ x (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (/ x (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (/ x (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (/ x (exp (/ (log x) n)))>
#<alt (/ x (exp (/ (log x) n)))>
#<alt (/ x (exp (/ (log x) n)))>
#<alt (/ x (exp (/ (log x) n)))>
#<alt x>
#<alt (+ x (* -1 (/ (* x (log x)) n)))>
#<alt (- (+ x (* -1 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) (pow n 2)))) (/ (* x (log x)) n))>
#<alt (- (+ x (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))))) (+ (* -1/2 (* x (pow (log x) 3))) (* 1/6 (* x (pow (log x) 3))))) (pow n 3)))) (+ (* -1 (/ (* x (pow (log x) 2)) (pow n 2))) (+ (* 1/2 (/ (* x (pow (log x) 2)) (pow n 2))) (/ (* x (log x)) n))))>
#<alt x>
#<alt (+ x (* -1 (/ (* x (log x)) n)))>
#<alt (+ x (* -1 (/ (- (+ (* -1 (/ (* x (pow (log x) 2)) n)) (* 1/2 (/ (* x (pow (log x) 2)) n))) (* -1 (* x (log x)))) n)))>
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* x (pow (log x) 3)) n)) (+ (* 1/2 (/ (* x (pow (log x) 3)) n)) (/ (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) n))) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) n)) (* -1 (* x (log x)))) n)))>
Calls

117 calls:

TimeVariablePointExpression
62.0ms
n
@0
(/ (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1 n)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1))))))
22.0ms
n
@0
(* (log (/ x (pow x (/ 1 n)))) -1)
15.0ms
x
@-inf
(* (log (/ x (pow x (/ 1 n)))) -1)
14.0ms
x
@0
(* (log (/ x (pow x (/ 1 n)))) -1)
14.0ms
x
@inf
(* (log (/ x (pow x (/ 1 n)))) -1)

rewrite270.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
2994×*-lowering-*.f32
2994×*-lowering-*.f64
2476×fma-lowering-fma.f32
2476×fma-lowering-fma.f64
1642×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048252
1312202
23112201
08284201
Stop Event
iter limit
node limit
Counts
23 → 694
Calls
Call 1
Inputs
(/ (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1 n)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1))))))
(* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1 n))
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(pow (log (+ 1 x)) 3)
(neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n)) x))
(/ (- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n)) x)
(- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n))
(neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x))
(/ (/ (pow (/ 1 x) (/ -1 n)) x) n)
(/ (pow (/ 1 x) (/ -1 n)) x)
(pow (/ 1 x) (/ -1 n))
(/ 1 x)
(/ (exp (* (log (/ x (pow x (/ 1 n)))) -1)) n)
(exp (* (log (/ x (pow x (/ 1 n)))) -1))
(* (log (/ x (pow x (/ 1 n)))) -1)
(log (/ x (pow x (/ 1 n))))
(pow (log x) 3)
(* (log x) (log (* x (+ x 1))))
(/ 1/3 n)
(/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)
(/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)
(/ -1 n)
(/ x (pow x (/ 1 n)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (-.f64 #s(literal 0 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))))))))
(neg.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) n)) (+.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) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (+.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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))) n))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (+.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) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) n)) (-.f64 #s(literal 0 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 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) n)) (*.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))
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simplify319.0ms (0.8%)

Algorithm
egg-herbie
Rules
4244×*-lowering-*.f32
4244×*-lowering-*.f64
3368×+-lowering-+.f64
3368×+-lowering-+.f32
2196×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0104111597
1374610743
0886310743
Stop Event
iter limit
node limit
Counts
468 → 468
Calls
Call 1
Inputs
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* x (- (* 1/2 (/ 1 (* n (log x)))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))) (log x))) (* -1 (/ (- (* 1/3 (log x)) 1) (* n (log x))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))
(/ 1 (* n x))
(/ (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (/ 1 n))) (* -1 (/ (log (/ 1 x)) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) x)
(/ (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 2 (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (/ 1 n)))))) (+ (* -1 (/ (log (/ 1 x)) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 1/2 (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (* -1 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))))) x)
(/ (- (+ (* -4/3 (/ (log (/ 1 x)) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 2 (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (/ 1 n)))))))))) (+ (* -1 (/ (log (/ 1 x)) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -2/3 (/ (log (/ 1 x)) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/3 (/ (log (/ 1 x)) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 1/2 (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (/ (* (+ 1 (+ (log (/ 1 x)) (* 1/2 (log (/ 1 x))))) (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (* -1 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))) (+ (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (* -1 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* 2 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (+ (* 1/2 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (* -1 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))))))))) x)
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(exp (* -1 (/ (+ (log -1) (log (/ -1 x))) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
1
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1
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(log (/ x (exp (/ (log x) n))))
(log (/ x (exp (/ (log x) n))))
(log (/ x (exp (/ (log x) n))))
(log (/ x (exp (/ (log x) n))))
(log x)
(+ (log x) (* -1 (/ (log x) n)))
(+ (log x) (+ (* -1 (/ (log x) n)) (* 1/2 (/ (+ (* -2 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) x)) (* -1 (pow (log x) 2))) (pow n 2)))))
(+ (log x) (+ (* -1 (/ (log x) n)) (+ (* 1/6 (/ (+ (* -6 (/ (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) x)) (+ (* -6 (/ (+ (* -1 (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))))) (+ (* -1/2 (* x (pow (log x) 3))) (* 1/6 (* x (pow (log x) 3))))) x)) (* -2 (pow (log x) 3)))) (pow n 3))) (* 1/2 (/ (+ (* -2 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) x)) (* -1 (pow (log x) 2))) (pow n 2))))))
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(+ (log x) (* -1 (/ (log x) n)))
(+ (log x) (* -1 (/ (+ (log x) (* -1/2 (/ (+ (* -2 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) x)) (* -1 (pow (log x) 2))) n))) n)))
(+ (log x) (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (+ (* -1/6 (* x (pow (log x) 3))) (+ (* 1/2 (* x (pow (log x) 3))) (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))))) x)) (+ (* 2 (pow (log x) 3)) (* 6 (/ (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) x)))) n)) (* 1/2 (+ (* -2 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) x)) (* -1 (pow (log x) 2))))) n))) n)))
(pow (log x) 3)
(pow (log x) 3)
(pow (log x) 3)
(pow (log x) 3)
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(* -1 (pow (log (/ 1 x)) 3))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)
(pow (log x) 2)
(+ (* x (log x)) (pow (log x) 2))
(+ (* x (+ (log x) (* -1/2 (* x (log x))))) (pow (log x) 2))
(+ (* x (+ (log x) (* x (+ (* -1/2 (log x)) (* 1/3 (* x (log x))))))) (pow (log x) 2))
(* 2 (pow (log (/ 1 x)) 2))
(+ (* -1 (/ (log (/ 1 x)) x)) (* 2 (pow (log (/ 1 x)) 2)))
(+ (* -1 (/ (log (/ 1 x)) x)) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 2))) (* 2 (pow (log (/ 1 x)) 2))))
(+ (* -1 (/ (log (/ 1 x)) x)) (+ (* -1/3 (/ (log (/ 1 x)) (pow x 3))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 2))) (* 2 (pow (log (/ 1 x)) 2)))))
(* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (log (/ -1 x)) x)) (/ (log -1) x)))
(+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))) x)))
(+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))) x))) x)))
(/ 1/3 n)
(/ 1/3 n)
(/ 1/3 n)
(/ 1/3 n)
(/ 1/3 n)
(/ 1/3 n)
(/ 1/3 n)
(/ 1/3 n)
(/ 1/3 n)
(/ 1/3 n)
(/ 1/3 n)
(/ 1/3 n)
(/ -1/4 (* n (pow x 3)))
(/ (- (* 1/3 (/ x n)) (* 1/4 (/ 1 n))) (pow x 3))
(/ (- (* x (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/4 (/ 1 n))) (pow x 3))
(/ (- (* x (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/4 (/ 1 n))) (pow x 3))
(/ -1/2 (* n x))
(/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)
(/ (- (/ 1/3 (* n x)) (+ (* 1/2 (/ 1 n)) (/ 1/4 (* n (pow x 2))))) x)
(/ (- (/ 1/3 (* n x)) (+ (* 1/2 (/ 1 n)) (/ 1/4 (* n (pow x 2))))) x)
(/ -1/2 (* n x))
(* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/3 (/ 1 (* n x)))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/3 (/ 1 n)) (* 1/4 (/ 1 (* n x)))) x)) (* 1/2 (/ 1 n))) x))
(* -1 (/ (+ (* -1 (/ (- (* 1/3 (/ 1 n)) (* 1/4 (/ 1 (* n x)))) x)) (* 1/2 (/ 1 n))) x))
(/ (- (* 1/3 (/ 1 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) (* n x))
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(/ (- (* 1/3 (/ 1 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) (* n x))
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(/ (- (* 1/3 (/ 1 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) (* n x))
(* -1 (/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (* 1/3 (/ 1 x))) (* n x)))
(* -1 (/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (* 1/3 (/ 1 x))) (* n x)))
(* -1 (/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (* 1/3 (/ 1 x))) (* n x)))
(* -1 (/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (* 1/3 (/ 1 x))) (* n x)))
(/ 1/4 (* n (pow x 2)))
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(/ (+ (* -1/3 (/ x n)) (* 1/4 (/ 1 n))) (pow x 2))
(/ (+ (* -1/3 (/ x n)) (* 1/4 (/ 1 n))) (pow x 2))
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(/ -1 n)
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(/ -1 n)
(/ -1 n)
(/ -1 n)
(/ -1 n)
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(/ x (exp (/ (log x) n)))
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(/ x (exp (/ (log x) n)))
(/ x (exp (* -1 (/ (log (/ 1 x)) n))))
(/ x (exp (* -1 (/ (log (/ 1 x)) n))))
(/ x (exp (* -1 (/ (log (/ 1 x)) n))))
(/ x (exp (* -1 (/ (log (/ 1 x)) n))))
(/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(/ x (exp (/ (log x) n)))
(/ x (exp (/ (log x) n)))
(/ x (exp (/ (log x) n)))
(/ x (exp (/ (log x) n)))
x
(+ x (* -1 (/ (* x (log x)) n)))
(- (+ x (* -1 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) (pow n 2)))) (/ (* x (log x)) n))
(- (+ x (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))))) (+ (* -1/2 (* x (pow (log x) 3))) (* 1/6 (* x (pow (log x) 3))))) (pow n 3)))) (+ (* -1 (/ (* x (pow (log x) 2)) (pow n 2))) (+ (* 1/2 (/ (* x (pow (log x) 2)) (pow n 2))) (/ (* x (log x)) n))))
x
(+ x (* -1 (/ (* x (log x)) n)))
(+ x (* -1 (/ (- (+ (* -1 (/ (* x (pow (log x) 2)) n)) (* 1/2 (/ (* x (pow (log x) 2)) n))) (* -1 (* x (log x)))) n)))
(+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* x (pow (log x) 3)) n)) (+ (* 1/2 (/ (* x (pow (log x) 3)) n)) (/ (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) n))) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) n)) (* -1 (* x (log x)))) n)))
Outputs
(* -1 (/ (log x) n))
(/.f64 (-.f64 #s(literal 0 binary64) (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 (* x (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))
(-.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (*.f64 (log.f64 x) n)))))) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* x (- (* 1/2 (/ 1 (* n (log x)))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))) (log x))) (* -1 (/ (- (* 1/3 (log x)) 1) (* n (log x))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))
(-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) n)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (*.f64 (log.f64 x) n))) (-.f64 #s(literal 0 binary64) (log.f64 x))) (/.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 (log.f64 x) n))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (*.f64 (log.f64 x) n))))))) (/.f64 (log.f64 x) n))
(/ 1 (* n x))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
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(* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) (* n x)))
(/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) x))) (*.f64 x n))
(* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) (* n x)))
(/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) x))) (*.f64 x 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)
(/ x (exp (/ (log x) n)))
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))
(/ x (exp (/ (log x) n)))
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))
(/ x (exp (/ (log x) n)))
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))
(/ x (exp (/ (log x) n)))
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))
(/ x (exp (* -1 (/ (log (/ 1 x)) n))))
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))
(/ x (exp (* -1 (/ (log (/ 1 x)) n))))
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))
(/ x (exp (* -1 (/ (log (/ 1 x)) n))))
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))
(/ x (exp (* -1 (/ (log (/ 1 x)) n))))
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))
(/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(/.f64 x (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(/.f64 x (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(/.f64 x (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(/.f64 x (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(/ x (exp (/ (log x) n)))
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))
(/ x (exp (/ (log x) n)))
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))
(/ x (exp (/ (log x) n)))
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))
(/ x (exp (/ (log x) n)))
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))
x
(+ x (* -1 (/ (* x (log x)) n)))
(-.f64 x (*.f64 x (/.f64 (log.f64 x) n)))
(- (+ x (* -1 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) (pow n 2)))) (/ (* x (log x)) n))
(+.f64 x (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n)) (*.f64 x (/.f64 (log.f64 x) n))))
(- (+ x (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))))) (+ (* -1/2 (* x (pow (log x) 3))) (* 1/6 (* x (pow (log x) 3))))) (pow n 3)))) (+ (* -1 (/ (* x (pow (log x) 2)) (pow n 2))) (+ (* 1/2 (/ (* x (pow (log x) 2)) (pow n 2))) (/ (* x (log x)) n))))
(-.f64 (-.f64 x (/.f64 (+.f64 (*.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (*.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))) (*.f64 n (*.f64 n n)))) (-.f64 (+.f64 (*.f64 x (/.f64 (log.f64 x) n)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n))) (/.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))))
x
(+ x (* -1 (/ (* x (log x)) n)))
(-.f64 x (*.f64 x (/.f64 (log.f64 x) n)))
(+ x (* -1 (/ (- (+ (* -1 (/ (* x (pow (log x) 2)) n)) (* 1/2 (/ (* x (pow (log x) 2)) n))) (* -1 (* x (log x)))) n)))
(-.f64 x (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal -1/2 binary64)) (*.f64 x (log.f64 x))) n))
(+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* x (pow (log x) 3)) n)) (+ (* 1/2 (/ (* x (pow (log x) 3)) n)) (/ (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) n))) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) n)) (* -1 (* x (log x)))) n)))
(-.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) (/.f64 (*.f64 (log.f64 x) (*.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) n)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 n)) (*.f64 x (log.f64 x))) n))

eval139.0ms (0.3%)

Compiler

Compiled 33827 to 3860 computations (88.6% saved)

prune143.0ms (0.3%)

Pruning

47 alts after pruning (43 fresh and 4 done)

PrunedKeptTotal
New115391162
Fresh23436
Picked325
Done022
Total1158471205
Accuracy
99.9%
Counts
1205 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.3%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
13.8%
(/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) x) n)
13.8%
(/.f64 (/.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) x) n)
55.0%
(/.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) x) n)
55.0%
(/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n)
55.0%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
25.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
41.6%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n)
58.8%
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64)))) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
54.3%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))) (*.f64 x n))
54.3%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
36.2%
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
48.4%
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n))
46.9%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
45.2%
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal -1/6 binary64)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n)
36.7%
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) n)
31.2%
(/.f64 (-.f64 x (log.f64 x)) n)
23.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
29.4%
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))) (*.f64 n (*.f64 n n)))
8.4%
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n)))
8.1%
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n)))
25.1%
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)
47.1%
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
40.9%
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
9.4%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
25.1%
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n)
57.8%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
54.3%
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
53.9%
(/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)))) n)
53.9%
(/.f64 (exp.f64 (log.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))) n)
57.7%
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
57.7%
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
35.7%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
28.2%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
38.7%
(-.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n))) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (*.f64 n n)))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))) n)))) (/.f64 (log.f64 x) n))
21.5%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n n)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
20.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
4.7%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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)))))))))) #s(literal 1 binary64))
34.6%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
34.2%
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
57.7%
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
25.1%
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal -1 binary64) n)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
6.6%
(*.f64 (*.f64 x (*.f64 x 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)))))
24.6%
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) n) x) (*.f64 x n)) x))
36.2%
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x))
31.2%
(neg.f64 (/.f64 (log.f64 x) n))
30.3%
#s(literal 0 binary64)
Compiler

Compiled 3187 to 1041 computations (67.3% saved)

regimes91.0ms (0.2%)

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

4 calls:

23.0ms
n
21.0ms
(/.f64 #s(literal 1 binary64) n)
21.0ms
x
17.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
88.7%3x
88.8%4n
84.8%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
89.7%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes53.0ms (0.1%)

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

2 calls:

17.0ms
(/.f64 #s(literal 1 binary64) n)
17.0ms
x
Results
AccuracySegmentsBranch
89.7%4(/.f64 #s(literal 1 binary64) n)
87.9%3x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes23.0ms (0.1%)

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

1 calls:

16.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
89.7%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes21.0ms (0%)

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

1 calls:

15.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
89.7%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes56.0ms (0.1%)

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

4 calls:

14.0ms
x
14.0ms
n
13.0ms
(/.f64 #s(literal 1 binary64) n)
11.0ms
(-.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
79.0%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
86.1%6n
78.4%4x
86.1%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes13.0ms (0%)

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

1 calls:

10.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.7%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0%)

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

1 calls:

8.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.7%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0%)

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

1 calls:

8.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.6%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0%)

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

1 calls:

7.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.6%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes23.0ms (0.1%)

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

3 calls:

7.0ms
(/.f64 #s(literal 1 binary64) n)
7.0ms
n
7.0ms
x
Results
AccuracySegmentsBranch
68.9%7x
71.0%5n
71.0%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes22.0ms (0.1%)

Counts
22 → 7
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) x) n)
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n)
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n)
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x (*.f64 x 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)))))
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) n) x) (*.f64 x n)) x))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal -1 binary64) n)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n)))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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)))))))))) #s(literal 1 binary64))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n)))
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n)
#s(literal 0 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
#s(literal 0 binary64)
Calls

3 calls:

6.0ms
x
6.0ms
(/.f64 #s(literal 1 binary64) n)
6.0ms
n
Results
AccuracySegmentsBranch
68.9%7x
62.5%7n
60.6%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0%)

Counts
21 → 6
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) x) n)
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n)
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n)
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x (*.f64 x 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)))))
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) n) x) (*.f64 x n)) x))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal -1 binary64) n)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n)))
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x))
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.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)))))))))) #s(literal 1 binary64))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
Outputs
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n)))
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n)
#s(literal 0 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
#s(literal 0 binary64)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
65.6%6x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0%)

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

2 calls:

5.0ms
x
5.0ms
n
Results
AccuracySegmentsBranch
49.0%3n
50.5%4x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts
8 → 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) x) n)
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x)
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n)))
Outputs
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x))
#s(literal 0 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
Calls

2 calls:

3.0ms
n
3.0ms
x
Results
AccuracySegmentsBranch
50.3%6x
47.4%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
n
Results
AccuracySegmentsBranch
47.4%3n
Compiler

Compiled 3 to 2 computations (33.3% 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
46.9%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
n
1.0ms
x
Results
AccuracySegmentsBranch
30.3%1x
30.3%1n
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch113.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
40.0ms
9.079864040621876
32251785204.078964
69.0ms
7.114500665212469e-269
4.043250276020512e-264
Results
68.0ms135×1valid
13.0ms35×2valid
12.0ms102×0valid
5.0ms41×0unsamplable
Compiler

Compiled 974 to 634 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-pow: 72.0ms (84.8% of total)
ival-div: 4.0ms (4.7% of total)
ival-add: 3.0ms (3.5% of total)
backward-pass: 3.0ms (3.5% of total)
ival-sub: 2.0ms (2.4% of total)
const: 1.0ms (1.2% of total)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.4484842364592216
5894887.748297533
0.0ms
1.5016027948049308e-51
1.5066121769031797e-49
0.0ms
-2.8815408110371116e-20
-2.403814199164899e-20
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.4484842364592216
5894887.748297533
0.0ms
1.5016027948049308e-51
1.5066121769031797e-49
0.0ms
-2.8815408110371116e-20
-2.403814199164899e-20
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch2.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.4484842364592216
5894887.748297533
0.0ms
1.5016027948049308e-51
1.5066121769031797e-49
0.0ms
-2.8815408110371116e-20
-2.403814199164899e-20
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1630012771426675e+187
9.181593043289812e+190
0.0ms
3.4484842364592216
5894887.748297533
0.0ms
1.5016027948049308e-51
1.5066121769031797e-49
0.0ms
-2.8815408110371116e-20
-2.403814199164899e-20
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1630012771426675e+187
9.181593043289812e+190
0.0ms
3.4484842364592216
5894887.748297533
0.0ms
1.5016027948049308e-51
1.5066121769031797e-49
0.0ms
-2.8815408110371116e-20
-2.403814199164899e-20
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1630012771426675e+187
9.181593043289812e+190
0.0ms
3.4484842364592216
5894887.748297533
0.0ms
1.5016027948049308e-51
1.5066121769031797e-49
0.0ms
-2.8815408110371116e-20
-2.403814199164899e-20
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1630012771426675e+187
9.181593043289812e+190
0.0ms
3.4484842364592216
5894887.748297533
0.0ms
1.5016027948049308e-51
1.5066121769031797e-49
0.0ms
-2.8815408110371116e-20
-2.403814199164899e-20
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1630012771426675e+187
9.181593043289812e+190
0.0ms
3.4484842364592216
5894887.748297533
0.0ms
1.5016027948049308e-51
1.5066121769031797e-49
0.0ms
-2.8815408110371116e-20
-2.403814199164899e-20
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1630012771426675e+187
9.181593043289812e+190
0.0ms
3.4484842364592216
5894887.748297533
0.0ms
1.5016027948049308e-51
1.5066121769031797e-49
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch278.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
42.0ms
3.1708034650755085e+196
9.906485328966417e+197
50.0ms
1.0817113751736903e+147
9.356204983141293e+151
43.0ms
1.933010813169884e+47
2.620448064265596e+56
30.0ms
0.00898105081602114
9.079864040621876
34.0ms
5.4535298570365444e-43
2.8975037879908255e-40
68.0ms
7.114500665212469e-269
4.043250276020512e-264
Results
105.0ms268×1valid
88.0ms215×2valid
35.0ms301×0valid
10.0ms87×0unsamplable
Compiler

Compiled 1600 to 1130 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 200.0ms
ival-pow: 159.0ms (79.6% of total)
ival-div: 12.0ms (6% of total)
ival-add: 11.0ms (5.5% of total)
backward-pass: 9.0ms (4.5% of total)
ival-sub: 7.0ms (3.5% of total)
const: 2.0ms (1% of total)

bsearch215.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
42.0ms
3.1708034650755085e+196
9.906485328966417e+197
47.0ms
1.0817113751736903e+147
9.356204983141293e+151
49.0ms
1.933010813169884e+47
2.620448064265596e+56
29.0ms
0.00898105081602114
9.079864040621876
38.0ms
5.4535298570365444e-43
2.8975037879908255e-40
Results
86.0ms209×2valid
57.0ms218×1valid
26.0ms229×0valid
11.0ms90×0unsamplable
Compiler

Compiled 1456 to 1026 computations (29.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-pow: 110.0ms (76.3% of total)
ival-div: 10.0ms (6.9% of total)
ival-add: 8.0ms (5.5% of total)
backward-pass: 8.0ms (5.5% of total)
ival-sub: 6.0ms (4.2% of total)
const: 1.0ms (0.7% of total)

bsearch44.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
-7.726200693214054e-306
4.621220083207629e-307
22.0ms
-8.533797641962554e-19
-6.303134876210369e-33
Results
32.0ms288×0valid
Compiler

Compiled 416 to 318 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-pow: 19.0ms (76.7% of total)
ival-div: 2.0ms (8.1% of total)
ival-add: 2.0ms (8.1% of total)
ival-sub: 1.0ms (4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch54.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
-7.726200693214054e-306
4.621220083207629e-307
32.0ms
-232677.72354543503
-0.0018687147926538235
Results
24.0ms217×0valid
12.0ms20×2valid
8.0ms35×1valid
Compiler

Compiled 233 to 191 computations (18% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-pow: 24.0ms (74.7% of total)
ival-div: 3.0ms (9.3% of total)
ival-add: 2.0ms (6.2% of total)
ival-sub: 2.0ms (6.2% of total)
backward-pass: 1.0ms (3.1% of total)
const: 0.0ms (0% of total)

bsearch54.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
-7.726200693214054e-306
4.621220083207629e-307
32.0ms
-232677.72354543503
-0.0018687147926538235
Results
23.0ms209×0valid
11.0ms24×2valid
9.0ms39×1valid
Compiler

Compiled 224 to 182 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-pow: 26.0ms (77.1% of total)
ival-div: 3.0ms (8.9% of total)
ival-add: 2.0ms (5.9% of total)
ival-sub: 2.0ms (5.9% of total)
backward-pass: 1.0ms (3% of total)
const: 0.0ms (0% of total)

bsearch54.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
-7.726200693214054e-306
4.621220083207629e-307
26.0ms
-232677.72354543503
-0.0018687147926538235
Results
22.0ms207×0valid
17.0ms62×1valid
1.0ms2valid
1.0ms11×0unsamplable
Compiler

Compiled 224 to 182 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-pow: 26.0ms (78.2% of total)
ival-div: 3.0ms (9% of total)
ival-add: 2.0ms (6% of total)
ival-sub: 2.0ms (6% of total)
backward-pass: 1.0ms (3% of total)
const: 0.0ms (0% of total)

simplify122.0ms (0.3%)

Algorithm
egg-herbie
Rules
834×distribute-lft-neg-in_binary64
450×neg-mul-1_binary64
442×neg-sub0_binary64
380×cancel-sign-sub_binary64
358×sub-neg_binary64
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
0209960
1296957
2356953
3428953
4503953
5646953
6877953
71223952
81689952
92035952
102244952
112390952
122520952
132624952
142676952
152701952
162714952
172717952
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 1487016908477783/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 18 binary64)) (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n) (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 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 -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 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 -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n))))
(if (<=.f64 x #s(literal 290432989937067/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 6252581806732827/24519928653854221733733552434404946937899825954937634816 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) (if (<=.f64 x #s(literal 279999999999999998101865628821255833409278363744337920 binary64)) (/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) (if (<=.f64 x #s(literal 3999999999999999911985529622630640697459295557871204323089012979877055756916429969707704197693042055879073073662148309875353729226924585581455343616 binary64)) #s(literal 0 binary64) (if (<=.f64 x #s(literal 52000000000000002438869890781214236892513070827561708052161714921906540958288583381830990719185944865747011070113672080713594850463819982955887117310767930231855706936298234477459794080602676789248 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) #s(literal 0 binary64)))))))
(if (<=.f64 x #s(literal 2108713864231463/49039857307708443467467104868809893875799651909875269632 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) (if (<=.f64 x #s(literal 260000000000000010827894231408746422024904669880880463872 binary64)) (/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) (if (<=.f64 x #s(literal 52000000000000002637644622444777931456421280169599249008947373564603507242042282217963950535033116533015760702658980086722093712553726672981143565893632 binary64)) #s(literal 0 binary64) (if (<=.f64 x #s(literal 439999999999999978503048684126345810349123060292193534776529691185234515844998204064249067123582970036218519745754083295105723143024309696075972380756163975725896127688430700034198407682079793872896 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) #s(literal 0 binary64))))))
(if (<=.f64 n #s(literal -1598517415830675/91343852333181432387730302044767688728495783936 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) (if (<=.f64 n #s(literal -5692563374268111/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n)))
(if (<=.f64 n #s(literal -19/2 binary64)) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x)) (if (<=.f64 n #s(literal -5692563374268111/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n)))
(if (<=.f64 n #s(literal -19/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) n) (if (<=.f64 n #s(literal -6325070415853457/1581267603963364205878869896241541461324661326282360299663291859589299527874963647593440497667477535118649045814975093057732880760826511538023542187037019608761854877160674698159897716735103252665935684988068320848140683464255411707953932466009059033912578566502802887127604801681488301032705683661296923932091466727292928 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n)))
(if (<=.f64 n #s(literal -6980579422424269/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (if (<=.f64 n #s(literal -3339637179570625/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(literal 0 binary64)
Outputs
(if (<=.f64 x #s(literal 1487016908477783/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 18 binary64)) (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n) (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n)))
(if (<=.f64 x #s(literal 1487016908477783/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 18 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 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 -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 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 -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x) n)))))
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#s(literal 0 binary64)

soundness2.2s (5.2%)

Rules
4422×+-lowering-+.f64
4422×+-lowering-+.f32
4290×*-lowering-*.f32
4290×*-lowering-*.f64
4244×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058355
1463328
25479328
08071328
0104111597
1374610743
0886310743
0132211436
1458010803
0835810803
0826
15924
242024
3477924
0825524
0189527166
1698827060
0836027060
02631600
18111440
225561362
082491362
053333
1383237
24309237
08520237
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 2191 to 1035 computations (52.8% saved)

preprocess126.0ms (0.3%)

Compiler

Compiled 1986 to 424 computations (78.7% saved)

end0.0ms (0%)

Profiling

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