2nthrt (problem 3.4.6)

Time bar (total: 38.0s)

analyze264.0ms (0.7%)

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

Compiled 16 to 9 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-pow: 90.0ms (67.4% of total)
ival-div: 15.0ms (11.2% of total)
ival-add: 14.0ms (10.5% of total)
ival-sub: 12.0ms (9% of total)
const: 2.0ms (1.5% of total)
backward-pass: 1.0ms (0.7% of total)

sample28.0s (73.8%)

Results
23.3s7071×5exit
1.9s3733×1valid
1.0s1966×2valid
283.0ms2557×0valid
211.0ms1578×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 24.6s
ival-pow: 21.9s (88.9% of total)
backward-pass: 1.0s (4.2% of total)
ival-div: 651.0ms (2.6% of total)
ival-add: 546.0ms (2.2% of total)
ival-sub: 422.0ms (1.7% of total)
const: 67.0ms (0.3% of total)
Bogosity

preprocess84.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02576
15474
210872
319372
436272
574972
6112872
7147572
8166572
9187772
10203372
11204572
0811
11511
21911
32611
43611
56811
612611
721311
829711
940311
1048111
1148711
048711
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Call 2
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n))))
(neg (- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n))))
(neg (- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n)))))
(- (pow (+ n 1) (/ 1 x)) (pow n (/ 1 x)))
Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(- (pow (+ x 1) (recip n)) (pow x (recip n)))
(- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n)))
(- (pow (- 1 x) (recip n)) (pow (neg x) (recip n)))
(- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n))))
(- (pow (+ x 1) (/ -1 n)) (pow x (/ -1 n)))
(neg (- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n))))
(- (pow (neg x) (recip n)) (pow (- 1 x) (recip n)))
(neg (- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n)))))
(- (pow x (/ -1 n)) (pow (+ x 1) (/ -1 n)))
(- (pow (+ n 1) (/ 1 x)) (pow n (/ 1 x)))
(- (pow (+ 1 n) (recip x)) (pow n (recip x)))

explain343.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1082(5.3814841961518725e-105 24484.99612379999)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)))
3284(5.805484897283246e+213 -5.178066672297237e-246)0-(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
187(5.805484897283246e+213 -5.178066672297237e-246)0-(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
187.0ms270×1valid
72.0ms114×2valid
16.0ms128×0valid
Compiler

Compiled 89 to 26 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 201.0ms
ival-pow: 163.0ms (81.2% of total)
backward-pass: 15.0ms (7.5% of total)
ival-div: 9.0ms (4.5% of total)
ival-add: 7.0ms (3.5% of total)
ival-sub: 6.0ms (3% 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
▶57.2%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify17.0ms (0%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
11529
21929
32629
43629
56829
612629
721329
829729
940329
1048129
1148729
048729
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
x
1
(/ 1 n)
n
(pow x (/ 1 n))
Outputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow (+ x 1) (/ 1 n))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))

localize156.0ms (0.4%)

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))
✓accuracy89.6%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy61.4%
(-.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
73.0ms135×1valid
59.0ms57×2valid
8.0ms64×0valid
Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-pow: 60.0ms (76.1% of total)
backward-pass: 7.0ms (8.9% of total)
ival-div: 5.0ms (6.3% of total)
ival-add: 3.0ms (3.8% of total)
ival-sub: 3.0ms (3.8% of total)
const: 1.0ms (1.3% 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
27.0ms
x
@0
(pow x (/ 1 n))
23.0ms
x
@inf
(pow x (/ 1 n))
20.0ms
x
@-inf
(pow x (/ 1 n))
3.0ms
x
@-inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0ms
x
@inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite307.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0826
16024
243324
3485424
0829724
Stop Event
1×iter limit
1×node limit
Counts
5 → 279
Calls
Call 1
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
(/ 1 n)
(pow x (/ 1 n))
Outputs
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
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(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
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(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 n)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) n))
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(-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2 binary64)))
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(/.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))
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(/.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))
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(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))
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(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64)))
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(*.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -4 binary64)))) (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -4 binary64))))

simplify277.0ms (0.7%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02631600
18301384
225801304
082821304
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (* -1 (/ (log (/ 1 x)) n)))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
(exp (/ (log x) n))
1
(+ 1 (/ (log x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
1
(+ 1 (/ (log x) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
Outputs
(- 1 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(+.f64 (/.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 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))))) (/.f64 #s(literal -1 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 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) 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 (/.f64 #s(literal 1/6 binary64) (*.f64 n 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 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (*.f64 x (*.f64 x x)))))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 x n))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x))) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n))) x))) x)) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n))) (/.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (-.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 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(-.f64 (/.f64 (+.f64 (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 n n))) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(/.f64 (+.f64 (+.f64 (+.f64 (log1p.f64 x) (/.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) n) (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) (*.f64 n n))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 n n))) (-.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (+.f64 (log.f64 x) (*.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) n)))) (/.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 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 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) 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 (/.f64 #s(literal 1/6 binary64) (*.f64 n 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 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 x n)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x))) x))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) 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 #s(literal 1 binary64) (+.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 (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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 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 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) n)) n))

eval52.0ms (0.1%)

Compiler

Compiled 13114 to 1276 computations (90.3% saved)

prune72.0ms (0.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New42015435
Fresh000
Picked101
Done000
Total42115436
Accuracy
99.8%
Counts
436 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.8%
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
▶60.5%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
22.5%
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (+.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))))
22.5%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
63.1%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
36.1%
(/.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 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x))) x)
▶68.8%
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (-.f64 (log1p.f64 x) (log.f64 x))) n)
16.4%
(-.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)))
19.9%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶15.8%
(-.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 #s(literal 1/6 binary64) (*.f64 n 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)))
▶60.9%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶36.0%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
19.2%
(+.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))))))
18.5%
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))))
Compiler

Compiled 1068 to 424 computations (60.3% saved)

simplify183.0ms (0.5%)

Algorithm
1×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 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 #s(literal 1/6 binary64) (*.f64 n 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 (/.f64 #s(literal 1/6 binary64) (*.f64 n 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 (/.f64 #s(literal 1/6 binary64) (*.f64 n 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-diff128
(*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n 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) 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
(*.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))))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)
✓cost-diff0
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (-.f64 (log1p.f64 x) (log.f64 x))) n)
✓cost-diff12800
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (-.f64 (log1p.f64 x) (log.f64 x)))
Rules
2576×+-lowering-+.f64
2576×+-lowering-+.f32
1934×*-lowering-*.f32
1934×*-lowering-*.f64
1502×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048444
1124407
2359407
31228407
45953407
08114407
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (- (log (+ 1 x)) (log x))) n)
(+ (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (- (log (+ 1 x)) (log x)))
(/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)
(* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
1/2
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log (+ 1 x)) 2)
(log (+ 1 x))
x
2
(pow (log x) 2)
(log x)
n
(- (log (+ 1 x)) (log x))
(- 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))
1/6
(+ (/ 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
(/ (+ (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (- (log (+ 1 x)) (log x))) n)
(/.f64 (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (log1p.f64 x) (log.f64 x))) #s(literal 1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(+ (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (- (log (+ 1 x)) (log x)))
(*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (log1p.f64 x) (log.f64 x))) #s(literal 1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x)))
(/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n))
(* 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))
(log (+ 1 x))
(log1p.f64 x)
x
2
#s(literal 2 binary64)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log x)
(log.f64 x)
n
(- (log (+ 1 x)) (log x))
(-.f64 (log1p.f64 x) (log.f64 x))
(- 1 (pow x (/ 1 n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
1
#s(literal 1 binary64)
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(/ (/ 1 (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 (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x n)) (*.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64))))) (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) 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 (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x n)) (*.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64))))) (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) 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 (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x n)) (*.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64))))) (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) 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 (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x n)) (*.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64))))) (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) 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 (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x n)) (*.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64))))) (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
(+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ (/ 1/6 (* n n)) n) (+ (/ 1/3 n) (/ -1/2 (* n n))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x n)) (*.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64))))))
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
(/ 1/2 (* n n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
1/2
#s(literal 1/2 binary64)
(* n n)
(*.f64 n n)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
-1/2
#s(literal -1/2 binary64)
(* x (+ (/ (/ 1/6 (* n n)) n) (+ (/ 1/3 n) (/ -1/2 (* n n)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x n)) (*.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64))))
(+ (/ (/ 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 (* n n))
(/.f64 #s(literal 1/6 binary64) (*.f64 n n))
1/6
#s(literal 1/6 binary64)
(+ (/ 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)

localize1.3s (3.6%)

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)
✓accuracy75.1%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy98.4%
(*.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 #s(literal 1/6 binary64) (*.f64 n n)) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))
✓accuracy98.1%
(*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))
✓accuracy96.9%
(+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
✓accuracy75.1%
(-.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 #s(literal 1/6 binary64) (*.f64 n 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) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) n)
✓accuracy100.0%
(*.f64 x n)
✓accuracy95.3%
(/.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)
✓accuracy75.1%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy100.0%
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
✓accuracy99.9%
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)
✓accuracy99.8%
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (-.f64 (log1p.f64 x) (log.f64 x))) n)
✓accuracy99.7%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
Results
943.0ms123×5exit
111.0ms45×2valid
106.0ms54×1valid
64.0ms32×0unsamplable
1.0ms2×0valid
Compiler

Compiled 497 to 48 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 796.0ms
ival-pow: 214.0ms (26.9% of total)
ival-log: 160.0ms (20.1% of total)
backward-pass: 107.0ms (13.4% of total)
ival-div: 87.0ms (10.9% of total)
ival-exp: 63.0ms (7.9% of total)
ival-mult: 52.0ms (6.5% of total)
ival-sub: 31.0ms (3.9% of total)
compiled-spec: 31.0ms (3.9% of total)
ival-add: 30.0ms (3.8% of total)
...c/correct-round.rkt:119:19: 17.0ms (2.1% of total)
const: 3.0ms (0.4% of total)

series120.0ms (0.3%)

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

117 calls:

TimeVariablePointExpression
39.0ms
n
@0
(/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)
12.0ms
n
@inf
(/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)
8.0ms
x
@0
(/ (/ 1 (pow x (/ -1 n))) (* x n))
6.0ms
n
@0
(+ (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (- (log (+ 1 x)) (log x)))
5.0ms
n
@inf
(/ (+ (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (- (log (+ 1 x)) (log x))) n)

rewrite322.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
2998×*-lowering-*.f32
2998×*-lowering-*.f64
2180×/-lowering-/.f32
2180×/-lowering-/.f64
1340×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048272
1378242
24530242
08164242
Stop Event
1×iter limit
1×node limit
Counts
23 → 458
Calls
Call 1
Inputs
(+ (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (- (log (+ 1 x)) (log x)))
(/ (+ (/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n) (- (log (+ 1 x)) (log x))) n)
(/ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) n)
(* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
(- 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)
(* 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)))))))))) (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)))))))))
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(exp (/ (log (+ 1 x)) n))
(/ (log (+ 1 x)) n)
(log (+ 1 x))
(pow (log x) 2)
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(* x n)
(+ (/ (/ 1/6 (* n n)) n) (+ (/ 1/3 n) (/ -1/2 (* n n))))
Outputs
(+.f64 (log1p.f64 x) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)))
(+.f64 (+.f64 (log1p.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (log1p.f64 x) (-.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))))
(-.f64 (+.f64 (log1p.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))) (log.f64 x))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (/.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
(fma.f64 (pow.f64 (log1p.f64 x) #s(literal 1/2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (/.f64 (/.f64 n #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) (*.f64 (/.f64 (/.f64 n #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))) (*.f64 (/.f64 (/.f64 n #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (*.f64 (/.f64 (/.f64 n #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 n (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) (*.f64 n (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))) (*.f64 n (-.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 (+.f64 #s(literal 1 binary64) x) x))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1/2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (-.f64 #s(literal 0 binary64) n) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) (*.f64 (-.f64 #s(literal 0 binary64) n) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))) (*.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))))
(/.f64 (+.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 (/.f64 n #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64))) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 n #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))))
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(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n))))) (*.f64 (*.f64 n (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 n (*.f64 n n))) (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n))) (*.f64 n (*.f64 n n)))))) (*.f64 (*.f64 n (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) (*.f64 (*.f64 n (*.f64 n n)) (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (*.f64 n n))))) (*.f64 (*.f64 n (*.f64 n n)) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (*.f64 n (*.f64 n n))) (*.f64 n (+.f64 (*.f64 (*.f64 n n) #s(literal 1/3 binary64)) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n (*.f64 n n))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n))))) (*.f64 n (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 n (*.f64 n n))) (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n))) (*.f64 n (*.f64 n n)))))) (*.f64 n (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n))))))
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(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 n (*.f64 n n))) (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n))) (*.f64 n (*.f64 n n)))) n) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)))) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)))) n))
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(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (*.f64 n n))) (/.f64 n (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (/.f64 n (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))))
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (*.f64 n n))) (*.f64 n (*.f64 n n))) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) #s(literal 1/6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (*.f64 n (*.f64 n n))))
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (*.f64 n n))) n) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)))) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) n))
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (*.f64 n n))) (-.f64 #s(literal 0 binary64) n)) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (/.f64 #s(literal -1/6 binary64) (*.f64 n n)))) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (-.f64 #s(literal 0 binary64) n)))
(/.f64 (neg.f64 (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n 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))))))) (neg.f64 (+.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 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n))))))
(/.f64 (neg.f64 (-.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 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))) (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n))) (*.f64 n (*.f64 n n)))) (+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) #s(literal 1/3 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (*.f64 n n)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) #s(literal 1/3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))
(/.f64 (-.f64 (*.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 #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 #s(literal 1/6 binary64) (*.f64 n n)) n)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) #s(literal 1/3 binary64)))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (*.f64 n n))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) #s(literal 1/3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(pow.f64 (/.f64 (+.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 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n)))) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n 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))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n 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 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n 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 #s(literal 1 binary64) (+.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 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n))))))
(*.f64 (-.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 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))

simplify334.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
4098×+-lowering-+.f64
4098×+-lowering-+.f32
3840×*-lowering-*.f32
3840×*-lowering-*.f64
1728×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010978162
138417373
085737373
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
Calls
Call 1
Inputs
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) x))) 1) x))
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(/ 1/6 (pow n 3))
(/ (+ 1/6 (* -1/2 n)) (pow n 3))
(/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))
(/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))
(/ 1/3 n)
(/ (- 1/3 (* 1/2 (/ 1 n))) n)
(/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)
(/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)
(/ 1/3 n)
(* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))
Outputs
(- (* -1/2 (/ (pow (log x) 2) n)) (log x))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x))
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x))
(+.f64 x (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) (log.f64 x)))
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n))) #s(literal -1/2 binary64)))))) (log.f64 x)))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))) x)) (/.f64 #s(literal -1/2 binary64) x))) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal -2/3 binary64))) (/.f64 #s(literal -1 binary64) n)) (*.f64 x x)))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/2 binary64) x)) x)
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal -2/3 binary64))) (/.f64 #s(literal -1 binary64) n)) (*.f64 x x)))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 1/2 binary64))) (/.f64 #s(literal 11/12 binary64) n)) (*.f64 x (*.f64 x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x)))))) x)
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x))
(/.f64 (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) #s(literal 1 binary64)) x)
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) x))) 1) x))
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n)) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.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) n) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) n))) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n)))) 1/4) x)) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x))
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n)) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) (/.f64 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -2/3 binary64) (-.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 (/.f64 #s(literal 11/12 binary64) n) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) n))) #s(literal -1/4 binary64)) x)) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)
(/.f64 (+.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)
(/.f64 (+.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n)
(/.f64 (+.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)
(- (log (+ 1 x)) (log x))
(-.f64 (log1p.f64 x) (log.f64 x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(+.f64 (log1p.f64 x) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x)))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(+.f64 (log1p.f64 x) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x)))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(+.f64 (log1p.f64 x) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x)))
(- (log (+ 1 x)) (log x))
(-.f64 (log1p.f64 x) (log.f64 x))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(+.f64 (log1p.f64 x) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x)))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(+.f64 (log1p.f64 x) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x)))
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))
(+.f64 (log1p.f64 x) (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x)))
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (-.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))))) (/.f64 (log.f64 x) n)))
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n)))))) (/.f64 (log.f64 x) n)))
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) (*.f64 x n))
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)
(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n n)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))) (*.f64 x n))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)
(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n n)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))) (*.f64 x n))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal -2/3 binary64))) (/.f64 #s(literal -1 binary64) n))) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x)))))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n n)) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))) (*.f64 x n)) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal -2/3 binary64))) (/.f64 #s(literal -1 binary64) n))) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (+.f64 (neg.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 1/2 binary64))) (/.f64 #s(literal 11/12 binary64) n)) (*.f64 x (*.f64 x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x n)) (/.f64 (/.f64 #s(literal 1/4 binary64) n) (*.f64 x (*.f64 x x))))) x)
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) (* n x)))
(/.f64 (+.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n) #s(literal 1 binary64)) (*.f64 x n))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 (*.f64 n n))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) n) (/.f64 #s(literal -1/2 binary64) n)) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 (*.f64 n n))) (/.f64 (+.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.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) n) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) n))) n) (/.f64 #s(literal -1/3 binary64) n)) x)) (/.f64 #s(literal -1/2 binary64) n)) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x))
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 (*.f64 n n))) (/.f64 (+.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) n) (/.f64 (+.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) n))) n) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 11/12 binary64) n) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) n))) n) (/.f64 #s(literal -1/4 binary64) n)) x)) (/.f64 #s(literal -1/3 binary64) n)) x)) (/.f64 #s(literal -1/2 binary64) n)) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2)))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))
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eval144.0ms (0.4%)

Compiler

Compiled 40577 to 3619 computations (91.1% saved)

prune148.0ms (0.4%)

Pruning

33 alts after pruning (32 fresh and 1 done)

PrunedKeptTotal
New1148271175
Fresh5510
Picked415
Done000
Total1157331190
Accuracy
99.9%
Counts
1190 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶61.4%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
▶61.4%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
30.4%
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)))))) n)
▶28.8%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))) x)) (/.f64 #s(literal -1/2 binary64) x))) x) n)
22.5%
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (+.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))))
22.5%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
35.6%
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
36.2%
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
30.4%
(/.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)
30.0%
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))) (*.f64 n (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)))))))
36.1%
(/.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 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x))) x)
7.4%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 n (*.f64 n n)))
7.1%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.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)))
22.7%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 n (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (*.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))))))) (*.f64 n (*.f64 n n)))
43.6%
(/.f64 (+.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (*.f64 n n))
49.2%
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)
▶49.2%
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
34.2%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
28.2%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
19.9%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
19.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
9.0%
(-.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 (*.f64 (*.f64 n n) #s(literal 1/3 binary64)) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
6.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64))
53.0%
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
36.0%
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) n)))
✓36.0%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶35.7%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
30.6%
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
36.4%
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))
7.4%
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) n))
61.4%
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
49.2%
(*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
7.2%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
Compiler

Compiled 2201 to 978 computations (55.6% saved)

simplify115.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n))
✓cost-diff0
(/.f64 n (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
✓cost-diff6656
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))) x)) (/.f64 #s(literal -1/2 binary64) x))) x)
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))) x)) (/.f64 #s(literal -1/2 binary64) x))) x) n)
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)))
✓cost-diff6272
(+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))) x))
✓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)) n)
✓cost-diff0
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
✓cost-diff128
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓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)
Rules
1546×fma-define
1366×fma-lowering-fma.f32
1366×fma-lowering-fma.f64
1360×sum5-define
1328×sum4-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
035343
175339
2156330
3341330
4743318
51816309
67343309
08020309
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (pow x (/ 1 n)) x) n)
(/ (pow x (/ 1 n)) x)
(pow x (/ 1 n))
x
(/ 1 n)
1
n
(- 1 1)
1
(/ (/ (pow x (/ 1 n)) n) x)
(/ (pow x (/ 1 n)) n)
(pow x (/ 1 n))
x
(/ 1 n)
1
n
(/ (/ (+ 1 (+ (+ (/ (log x) n) (/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x)) (/ -1/2 x))) x) n)
(/ (+ 1 (+ (+ (/ (log x) n) (/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x)) (/ -1/2 x))) x)
(+ 1 (+ (+ (/ (log x) n) (/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x)) (/ -1/2 x)))
1
(+ (+ (/ (log x) n) (/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x)) (/ -1/2 x))
(+ (/ (log x) n) (/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x))
(/ (log x) n)
(log x)
x
n
(/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x)
(* 1/2 (- (/ 1 n) (/ (log x) n)))
1/2
(- (/ 1 n) (/ (log x) n))
(/ 1 n)
(/ -1/2 x)
-1/2
(/ 1 (/ n (+ (* 1/2 (/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n)) (log (/ (+ 1 x) x)))))
1
(/ n (+ (* 1/2 (/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n)) (log (/ (+ 1 x) x))))
n
(+ (* 1/2 (/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n)) (log (/ (+ 1 x) x)))
(* 1/2 (/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n))
1/2
(/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n)
(* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x)))
(log (* (+ 1 x) x))
(* (+ 1 x) x)
(+ 1 x)
x
(log (/ (+ 1 x) x))
(/ (+ 1 x) x)
Outputs
(/ (/ (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
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(/ (/ (pow x (/ 1 n)) n) x)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/ (pow x (/ 1 n)) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)
n
(/ (/ (+ 1 (+ (+ (/ (log x) n) (/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x)) (/ -1/2 x))) x) n)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (log.f64 x) n))) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x n))
(/ (+ 1 (+ (+ (/ (log x) n) (/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x)) (/ -1/2 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (log.f64 x) n))) (/.f64 #s(literal -1/2 binary64) x))) x)
(+ 1 (+ (+ (/ (log x) n) (/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x)) (/ -1/2 x)))
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (log.f64 x) n))) (/.f64 #s(literal -1/2 binary64) x)))
1
#s(literal 1 binary64)
(+ (+ (/ (log x) n) (/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x)) (/ -1/2 x))
(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (log.f64 x) n))) (/.f64 #s(literal -1/2 binary64) x))
(+ (/ (log x) n) (/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (log.f64 x) n)))
(/ (log x) n)
(/.f64 (log.f64 x) n)
(log x)
(log.f64 x)
x
n
(/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x)
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 #s(literal 1 binary64) (log.f64 x))) x)
(* 1/2 (- (/ 1 n) (/ (log x) n)))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 #s(literal 1 binary64) (log.f64 x)))
1/2
#s(literal 1/2 binary64)
(- (/ 1 n) (/ (log x) n))
(-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
(/ 1 (/ n (+ (* 1/2 (/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n)) (log (/ (+ 1 x) x)))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) n)))) n)
1
#s(literal 1 binary64)
(/ n (+ (* 1/2 (/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n)) (log (/ (+ 1 x) x))))
(/.f64 n (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) n)))))
n
(+ (* 1/2 (/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n)) (log (/ (+ 1 x) x)))
(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) n))))
(* 1/2 (/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n))
(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) n)))
1/2
#s(literal 1/2 binary64)
(/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n)
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n)
(* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x)))
(*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(log (* (+ 1 x) x))
(log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))
(* (+ 1 x) x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(log (/ (+ 1 x) x))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/ (+ 1 x) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)

localize256.0ms (0.7%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
✓accuracy78.4%
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))
✓accuracy56.8%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))
✓accuracy99.7%
(-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))
✓accuracy99.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))) x)
✓accuracy99.5%
(/.f64 (log.f64 x) n)
✓accuracy94.0%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))) x)) (/.f64 #s(literal -1/2 binary64) x))) x) n)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
✓accuracy99.9%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy99.8%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy99.9%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy99.8%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
Results
128.0ms114×1valid
66.0ms140×0valid
3.0ms2×2valid
Compiler

Compiled 373 to 35 computations (90.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-div: 36.0ms (36% of total)
ival-log: 24.0ms (24% of total)
backward-pass: 11.0ms (11% of total)
ival-mult: 10.0ms (10% of total)
ival-add: 8.0ms (8% of total)
ival-pow: 6.0ms (6% of total)
ival-sub: 3.0ms (3% of total)
const: 1.0ms (1% of total)

series147.0ms (0.4%)

Counts
21 → 432
Calls
Call 1
Inputs
#<alt (/ (/ (pow x (/ 1 n)) x) n)>
#<alt (/ (pow x (/ 1 n)) x)>
#<alt (pow x (/ 1 n))>
#<alt (/ 1 n)>
#<alt (- 1 1)>
#<alt (/ (/ (pow x (/ 1 n)) n) x)>
#<alt (/ (pow x (/ 1 n)) n)>
#<alt (+ (/ (log x) n) (/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x))>
#<alt (* 1/2 (- (/ 1 n) (/ (log x) n)))>
#<alt (/ (/ (+ 1 (+ (+ (/ (log x) n) (/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x)) (/ -1/2 x))) x) n)>
#<alt (/ (+ 1 (+ (+ (/ (log x) n) (/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x)) (/ -1/2 x))) x)>
#<alt (+ (* 1/2 (/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n)) (log (/ (+ 1 x) x)))>
#<alt (/ 1 (/ n (+ (* 1/2 (/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n)) (log (/ (+ 1 x) x)))))>
#<alt (/ n (+ (* 1/2 (/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n)) (log (/ (+ 1 x) x))))>
#<alt (* 1/2 (/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n))>
#<alt (/ (log x) n)>
#<alt (/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x)>
#<alt (- (/ 1 n) (/ (log x) n))>
#<alt (log (/ (+ 1 x) x))>
#<alt (log (* (+ 1 x) x))>
#<alt (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x)))>
Outputs
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ 1 (* n x))>
#<alt (/ (+ (/ 1 x) (/ (log x) (* n x))) n)>
#<alt (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)>
#<alt (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))>
#<alt (/ (exp (/ (log x) n)) x)>
#<alt (/ (exp (/ (log x) n)) x)>
#<alt (/ (exp (/ (log x) n)) x)>
#<alt (/ (exp (/ (log x) n)) x)>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) x)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) x)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) x)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) x)>
#<alt (/ (exp (/ (log x) n)) x)>
#<alt (/ (exp (/ (log x) n)) x)>
#<alt (/ (exp (/ (log x) n)) x)>
#<alt (/ (exp (/ (log x) n)) x)>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ (log x) (* n x)))>
#<alt (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))>
#<alt (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))))>
#<alt (/ 1 x)>
#<alt (+ (/ 1 x) (/ (log x) (* n x)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt (exp (/ (log x) n))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))>
#<alt 1>
#<alt (+ 1 (/ (log x) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ 1 (* n x))>
#<alt (/ (+ (/ 1 x) (/ (log x) (* n x))) n)>
#<alt (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)>
#<alt (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))>
#<alt (/ (exp (/ (log x) n)) n)>
#<alt (/ (exp (/ (log x) n)) n)>
#<alt (/ (exp (/ (log x) n)) n)>
#<alt (/ (exp (/ (log x) n)) n)>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)>
#<alt (/ (exp (/ (log x) n)) n)>
#<alt (/ (exp (/ (log x) n)) n)>
#<alt (/ (exp (/ (log x) n)) n)>
#<alt (/ (exp (/ (log x) n)) n)>
#<alt (/ 1 n)>
#<alt (/ (+ 1 (/ (log x) n)) n)>
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) n)>
#<alt (/ (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) n)>
#<alt (/ 1 n)>
#<alt (* -1 (/ (- (* -1 (/ (log x) n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n))) n)) 1) n))>
#<alt (* 1/2 (/ (- (/ 1 n) (/ (log x) n)) x))>
#<alt (/ (+ (* 1/2 (- (/ 1 n) (/ (log x) n))) (/ (* x (log x)) n)) x)>
#<alt (/ (+ (* 1/2 (- (/ 1 n) (/ (log x) n))) (/ (* x (log x)) n)) x)>
#<alt (/ (+ (* 1/2 (- (/ 1 n) (/ (log x) n))) (/ (* x (log x)) n)) x)>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (- (/ 1 n) (* -1 (/ (log (/ 1 x)) n))) x)))>
#<alt (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (- (/ 1 n) (* -1 (/ (log (/ 1 x)) n))) x)))>
#<alt (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (- (/ 1 n) (* -1 (/ (log (/ 1 x)) n))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))>
#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* 1/2 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) x)) (/ (log -1) n)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* 1/2 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) x)) (/ (log -1) n)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* 1/2 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) x)) (/ (log -1) n)))>
#<alt (/ (+ (log x) (* 1/2 (/ (- 1 (log x)) x))) n)>
#<alt (/ (+ (log x) (* 1/2 (/ (- 1 (log x)) x))) n)>
#<alt (/ (+ (log x) (* 1/2 (/ (- 1 (log x)) x))) n)>
#<alt (/ (+ (log x) (* 1/2 (/ (- 1 (log x)) x))) n)>
#<alt (/ (+ (log x) (* 1/2 (/ (- 1 (log x)) x))) n)>
#<alt (/ (+ (log x) (* 1/2 (/ (- 1 (log x)) x))) n)>
#<alt (/ (+ (log x) (* 1/2 (/ (- 1 (log x)) x))) n)>
#<alt (/ (+ (log x) (* 1/2 (/ (- 1 (log x)) x))) n)>
#<alt (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (+ 1 (* -1 (log x))) x))) n))>
#<alt (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (+ 1 (* -1 (log x))) x))) n))>
#<alt (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (+ 1 (* -1 (log x))) x))) n))>
#<alt (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (+ 1 (* -1 (log x))) x))) n))>
#<alt (* 1/2 (/ (- 1 (log x)) n))>
#<alt (* 1/2 (/ (- 1 (log x)) n))>
#<alt (* 1/2 (/ (- 1 (log x)) n))>
#<alt (* 1/2 (/ (- 1 (log x)) n))>
#<alt (* 1/2 (/ (- 1 (log x)) n))>
#<alt (* 1/2 (/ (- 1 (log x)) n))>
#<alt (* 1/2 (/ (- 1 (log x)) n))>
#<alt (* 1/2 (/ (- 1 (log x)) n))>
#<alt (* 1/2 (/ (+ 1 (* -1 (log x))) n))>
#<alt (* 1/2 (/ (+ 1 (* -1 (log x))) n))>
#<alt (* 1/2 (/ (+ 1 (* -1 (log x))) n))>
#<alt (* 1/2 (/ (+ 1 (* -1 (log x))) n))>
#<alt (* 1/2 (- (/ 1 n) (/ (log x) n)))>
#<alt (* 1/2 (- (/ 1 n) (/ (log x) n)))>
#<alt (* 1/2 (- (/ 1 n) (/ (log x) n)))>
#<alt (* 1/2 (- (/ 1 n) (/ (log x) n)))>
#<alt (* 1/2 (- (/ 1 n) (* -1 (/ (log (/ 1 x)) n))))>
#<alt (* 1/2 (- (/ 1 n) (* -1 (/ (log (/ 1 x)) n))))>
#<alt (* 1/2 (- (/ 1 n) (* -1 (/ (log (/ 1 x)) n))))>
#<alt (* 1/2 (- (/ 1 n) (* -1 (/ (log (/ 1 x)) n))))>
#<alt (* 1/2 (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))))>
#<alt (* 1/2 (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))))>
#<alt (* 1/2 (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))))>
#<alt (* 1/2 (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))))>
#<alt (/ (- (* 1/2 (- (/ 1 n) (/ (log x) n))) 1/2) (* n (pow x 2)))>
#<alt (/ (- (+ (* 1/2 (/ (- (/ 1 n) (/ (log x) n)) n)) (* x (+ (/ 1 n) (/ (log x) (pow n 2))))) (* 1/2 (/ 1 n))) (pow x 2))>
#<alt (/ (- (+ (* 1/2 (/ (- (/ 1 n) (/ (log x) n)) n)) (* x (+ (/ 1 n) (/ (log x) (pow n 2))))) (* 1/2 (/ 1 n))) (pow x 2))>
#<alt (/ (- (+ (* 1/2 (/ (- (/ 1 n) (/ (log x) n)) n)) (* x (+ (/ 1 n) (/ (log x) (pow n 2))))) (* 1/2 (/ 1 n))) (pow x 2))>
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (- (/ 1 n) (* -1 (/ (log (/ 1 x)) n))) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (- (/ 1 n) (* -1 (/ (log (/ 1 x)) n))) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (- (/ 1 n) (* -1 (/ (log (/ 1 x)) n))) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x)>
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) (* n x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) n)) (+ (* -1/2 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) (* n x))) (/ 1/2 (* n x)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) n)) (+ (* -1/2 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) (* n x))) (/ 1/2 (* n x)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) n)) (+ (* -1/2 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) (* n x))) (/ 1/2 (* n x)))) x))>
#<alt (/ (+ (log x) (* 1/2 (/ (- 1 (log x)) x))) (* (pow n 2) x))>
#<alt (/ (+ (* 1/2 (/ (- 1 (log x)) (pow x 2))) (+ (* n (- (/ 1 x) (* 1/2 (/ 1 (pow x 2))))) (/ (log x) x))) (pow n 2))>
#<alt (/ (+ (* 1/2 (/ (- 1 (log x)) (pow x 2))) (+ (* n (- (/ 1 x) (* 1/2 (/ 1 (pow x 2))))) (/ (log x) x))) (pow n 2))>
#<alt (/ (+ (* 1/2 (/ (- 1 (log x)) (pow x 2))) (+ (* n (- (/ 1 x) (* 1/2 (/ 1 (pow x 2))))) (/ (log x) x))) (pow n 2))>
#<alt (/ (- 1 (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ (* 1/2 (/ (- 1 (log x)) (* n (pow x 2)))) (+ (/ 1 x) (/ (log x) (* n x)))) (/ 1/2 (pow x 2))) n)>
#<alt (/ (- (+ (* 1/2 (/ (- 1 (log x)) (* n (pow x 2)))) (+ (/ 1 x) (/ (log x) (* n x)))) (/ 1/2 (pow x 2))) n)>
#<alt (/ (- (+ (* 1/2 (/ (- 1 (log x)) (* n (pow x 2)))) (+ (/ 1 x) (/ (log x) (* n x)))) (/ 1/2 (pow x 2))) n)>
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#<alt (* -1 (/ (+ (* -1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) x)) (/ (log (/ -1 x)) n)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n)) x)) (* 1/2 (+ (/ 1 n) (/ (log (/ -1 x)) n)))) x)) (/ (log (/ -1 x)) n)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* 1/2 (/ (log (/ -1 x)) n)) (* 11/12 (/ 1 n))) x)) (* 1/2 (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n)))) x)) (* 1/2 (+ (/ 1 n) (/ (log (/ -1 x)) n)))) x)) (/ (log (/ -1 x)) n)) x))>
#<alt (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))>
#<alt (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))>
#<alt (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))>
#<alt (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))>
#<alt (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))>
#<alt (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))>
#<alt (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))>
#<alt (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))>
#<alt (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))>
#<alt (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))>
#<alt (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))>
#<alt (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (/ (log x) n)>
#<alt (* 1/2 (/ (- 1 (log x)) (* n x)))>
#<alt (* 1/2 (/ (- 1 (log x)) (* n x)))>
#<alt (* 1/2 (/ (- 1 (log x)) (* n x)))>
#<alt (* 1/2 (/ (- 1 (log x)) (* n x)))>
#<alt (* 1/2 (/ (- 1 (log x)) (* n x)))>
#<alt (* 1/2 (/ (- 1 (log x)) (* n x)))>
#<alt (* 1/2 (/ (- 1 (log x)) (* n x)))>
#<alt (* 1/2 (/ (- 1 (log x)) (* n x)))>
#<alt (* 1/2 (/ (+ 1 (* -1 (log x))) (* n x)))>
#<alt (* 1/2 (/ (+ 1 (* -1 (log x))) (* n x)))>
#<alt (* 1/2 (/ (+ 1 (* -1 (log x))) (* n x)))>
#<alt (* 1/2 (/ (+ 1 (* -1 (log x))) (* n x)))>
#<alt (* 1/2 (/ (- (/ 1 n) (/ (log x) n)) x))>
#<alt (* 1/2 (/ (- (/ 1 n) (/ (log x) n)) x))>
#<alt (* 1/2 (/ (- (/ 1 n) (/ (log x) n)) x))>
#<alt (* 1/2 (/ (- (/ 1 n) (/ (log x) n)) x))>
#<alt (* 1/2 (/ (- (/ 1 n) (* -1 (/ (log (/ 1 x)) n))) x))>
#<alt (* 1/2 (/ (- (/ 1 n) (* -1 (/ (log (/ 1 x)) n))) x))>
#<alt (* 1/2 (/ (- (/ 1 n) (* -1 (/ (log (/ 1 x)) n))) x))>
#<alt (* 1/2 (/ (- (/ 1 n) (* -1 (/ (log (/ 1 x)) n))) x))>
#<alt (* 1/2 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) x))>
#<alt (* 1/2 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) x))>
#<alt (* 1/2 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) x))>
#<alt (* 1/2 (/ (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) x))>
#<alt (/ (- 1 (log x)) n)>
#<alt (/ (- 1 (log x)) n)>
#<alt (/ (- 1 (log x)) n)>
#<alt (/ (- 1 (log x)) n)>
#<alt (/ (- 1 (log x)) n)>
#<alt (/ (- 1 (log x)) n)>
#<alt (/ (- 1 (log x)) n)>
#<alt (/ (- 1 (log x)) n)>
#<alt (/ (+ 1 (* -1 (log x))) n)>
#<alt (/ (+ 1 (* -1 (log x))) n)>
#<alt (/ (+ 1 (* -1 (log x))) n)>
#<alt (/ (+ 1 (* -1 (log x))) n)>
#<alt (- (/ 1 n) (/ (log x) n))>
#<alt (- (/ 1 n) (/ (log x) n))>
#<alt (- (/ 1 n) (/ (log x) n))>
#<alt (- (/ 1 n) (/ (log x) n))>
#<alt (- (/ 1 n) (* -1 (/ (log (/ 1 x)) n)))>
#<alt (- (/ 1 n) (* -1 (/ (log (/ 1 x)) n)))>
#<alt (- (/ 1 n) (* -1 (/ (log (/ 1 x)) n)))>
#<alt (- (/ 1 n) (* -1 (/ (log (/ 1 x)) n)))>
#<alt (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))>
#<alt (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))>
#<alt (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))>
#<alt (- (/ 1 n) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))>
#<alt (* -1 (log x))>
#<alt (+ x (* -1 (log x)))>
#<alt (+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))>
#<alt (+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))>
#<alt (log x)>
#<alt (+ x (log x))>
#<alt (+ (log x) (* x (+ 1 (* -1/2 x))))>
#<alt (+ (log x) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))>
#<alt (* -2 (log (/ 1 x)))>
#<alt (+ (* -2 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -2 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (* -2 (log (/ -1 x)))>
#<alt (+ (* -2 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))>
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))>
#<alt (* -1 (pow (log x) 2))>
#<alt (+ (* -1 (pow (log x) 2)) (* x (+ (log x) (* -1 (log x)))))>
#<alt (+ (* -1 (pow (log x) 2)) (* x (+ (log x) (+ (* -1 (log x)) (* x (+ 1 (+ (* -1/2 (log x)) (* 1/2 (log x)))))))))>
#<alt (+ (* -1 (pow (log x) 2)) (* x (+ (log x) (+ (* -1 (log x)) (* x (+ 1 (+ (* -1/2 (log x)) (+ (* 1/2 (log x)) (* x (- (+ (* -1/3 (log x)) (* 1/3 (log x))) 1))))))))))>
#<alt (* -2 (/ (log (/ 1 x)) x))>
#<alt (/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x)>
#<alt (/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)>
#<alt (/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x)>
#<alt (* -2 (/ (log (/ -1 x)) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 (log (/ -1 x))) x)) (* 2 (log (/ -1 x)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 (+ (log (/ -1 x)) (* -1 (/ (+ 1 (* 2/3 (log (/ -1 x)))) x)))) x)) (* 2 (log (/ -1 x)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 (+ (log (/ -1 x)) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* 1/2 (log (/ -1 x)))) x)) (* 2/3 (log (/ -1 x))))) x)))) x)) (* 2 (log (/ -1 x)))) x))>
Calls

108 calls:

TimeVariablePointExpression
64.0ms
n
@0
(* 1/2 (/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n))
9.0ms
n
@inf
(* 1/2 (/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n))
8.0ms
n
@0
(+ (* 1/2 (/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n)) (log (/ (+ 1 x) x)))
5.0ms
x
@-inf
(/ (/ (pow x (/ 1 n)) x) n)
3.0ms
x
@inf
(/ (/ (pow x (/ 1 n)) x) n)

rewrite318.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
2586×*-lowering-*.f32
2586×*-lowering-*.f64
2276×/-lowering-/.f32
2276×/-lowering-/.f64
2264×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035240
1240221
22619219
08189219
Stop Event
1×iter limit
1×node limit
Counts
21 → 569
Calls
Call 1
Inputs
(/ (/ (pow x (/ 1 n)) x) n)
(/ (pow x (/ 1 n)) x)
(pow x (/ 1 n))
(/ 1 n)
(- 1 1)
(/ (/ (pow x (/ 1 n)) n) x)
(/ (pow x (/ 1 n)) n)
(+ (/ (log x) n) (/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x))
(* 1/2 (- (/ 1 n) (/ (log x) n)))
(/ (/ (+ 1 (+ (+ (/ (log x) n) (/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x)) (/ -1/2 x))) x) n)
(/ (+ 1 (+ (+ (/ (log x) n) (/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x)) (/ -1/2 x))) x)
(+ (* 1/2 (/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n)) (log (/ (+ 1 x) x)))
(/ 1 (/ n (+ (* 1/2 (/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n)) (log (/ (+ 1 x) x)))))
(/ n (+ (* 1/2 (/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n)) (log (/ (+ 1 x) x))))
(* 1/2 (/ (* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x))) n))
(/ (log x) n)
(/ (* 1/2 (- (/ 1 n) (/ (log x) n))) x)
(- (/ 1 n) (/ (log x) n))
(log (/ (+ 1 x) x))
(log (* (+ 1 x) x))
(* (log (* (+ 1 x) x)) (log (/ (+ 1 x) x)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 n (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) n)))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) n) x))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) n) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 n (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 x (-.f64 #s(literal 0 binary64) n)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (neg.f64 (*.f64 x n)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (*.f64 x n))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) n) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) n))
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) n)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) n)))
(/.f64 (*.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) #s(literal 1 binary64)) n)
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) n))
(pow.f64 (/.f64 n (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) x) n))
(*.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) n)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) n) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (/.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (*.f64 x n)))
(*.f64 (/.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) x) (/.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) n))
(*.f64 (/.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) n) (/.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) x))
(*.f64 (*.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (pow.f64 (/.f64 n (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))
(pow.f64 x (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) n)))
(pow.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))))
(pow.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))))
(pow.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
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(fma.f64 (-.f64 n (*.f64 n (log.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 n n)) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 x)) (/.f64 (log.f64 x) n)))
(fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) n))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (/.f64 (log.f64 x) n) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) n))))) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 x)) (/.f64 (log.f64 x) n)))
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(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 #s(literal 1 binary64) (log.f64 x))))
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(/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) n)
(/.f64 (-.f64 n (*.f64 n (log.f64 x))) (*.f64 n n))
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(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (-.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) n)))
(/.f64 (-.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) n)) (*.f64 n (-.f64 #s(literal 0 binary64) (log.f64 x)))) (*.f64 n (-.f64 #s(literal 0 binary64) n)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n (log.f64 x))) (*.f64 (-.f64 #s(literal 0 binary64) n) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 n (log.f64 x))))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) n) (*.f64 (-.f64 #s(literal 0 binary64) n) (log.f64 x))) (*.f64 (-.f64 #s(literal 0 binary64) n) n))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) n)) (*.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) (log.f64 x)))) (*.f64 n n))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (log.f64 x))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (neg.f64 (-.f64 n (*.f64 n (log.f64 x)))) (neg.f64 (*.f64 n n)))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (*.f64 n n)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (/.f64 (log.f64 x) n) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) n))))))
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(/.f64 (/.f64 (-.f64 n (*.f64 n (log.f64 x))) n) n)
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(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)))) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) n))
(pow.f64 (/.f64 n (-.f64 #s(literal 1 binary64) (log.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 n n) (-.f64 n (*.f64 n (log.f64 x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (/.f64 (log.f64 x) n) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) n)))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (*.f64 n n)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) n)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 #s(literal 1 binary64) (log.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (-.f64 n (*.f64 n (log.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 n n)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (/.f64 (log.f64 x) n) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) n))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) n))))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(+.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (log1p.f64 x) (log.f64 x))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) x)))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
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(-.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 x))
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(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (log.f64 x) (log1p.f64 x))
(+.f64 (log1p.f64 x) (log.f64 x))
(-.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log1p.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) x)) (log1p.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))
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(+.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (log1p.f64 x)) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 x)))
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(fma.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (log1p.f64 x) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 x)))
(fma.f64 (log1p.f64 x) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (log.f64 x) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))

simplify357.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
4730×+-lowering-+.f64
4730×+-lowering-+.f32
3990×*-lowering-*.f32
3990×*-lowering-*.f64
1788×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09198151
131407156
089667156
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ 1 (* n x))
(/ (+ (/ 1 x) (/ (log x) (* n x))) n)
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)
(/ 1 (* n x))
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(/ (exp (/ (log x) n)) x)
(/ (exp (/ (log x) n)) x)
(/ (exp (/ (log x) n)) 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)
(/ 1 x)
(+ (/ 1 x) (/ (log x) (* n x)))
(+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))
(+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))))
(/ 1 x)
(+ (/ 1 x) (/ (log x) (* n x)))
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x))
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x))
(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)))
(/ 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)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ (exp (/ (log x) n)) (* n x))
(/ 1 (* n x))
(/ (+ (/ 1 x) (/ (log x) (* n x))) n)
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)
(/ 1 (* n x))
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(/ (exp (/ (log x) n)) n)
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(/ (exp (/ (log x) n)) n)
(/ (exp (/ (log x) n)) n)
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n)
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n)
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n)
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)
(/ (exp (/ (log x) n)) n)
(/ (exp (/ (log x) n)) n)
(/ (exp (/ (log x) n)) n)
(/ (exp (/ (log x) n)) n)
(/ 1 n)
(/ (+ 1 (/ (log x) n)) n)
(/ (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) n)
(/ (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) n)
(/ 1 n)
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(* -1 (/ (* n x) (- (/ (log (/ -1 x)) n) 1)))
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(* -1/2 (/ (pow (log x) 2) n))
(+ (* -1/2 (/ (pow (log x) 2) n)) (* 1/2 (* x (+ (* -1 (/ (log x) n)) (/ (log x) n)))))
(+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ (* 1/2 (* x (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n))))) (* 1/2 (+ (* -1 (/ (log x) n)) (/ (log x) n))))))
(+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ (* 1/2 (+ (* -1 (/ (log x) n)) (/ (log x) n))) (* x (+ (* 1/2 (* x (- (+ (* -1/3 (/ (log x) n)) (* 1/3 (/ (log x) n))) (/ 1 n)))) (* 1/2 (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n)))))))))
(* -1 (/ (log (/ 1 x)) (* n x)))
(/ (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))))) x)
(/ (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2)))))) x)
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(+ (* -1 (pow (log x) 2)) (* x (+ (log x) (+ (* -1 (log x)) (* x (+ 1 (+ (* -1/2 (log x)) (+ (* 1/2 (log x)) (* x (- (+ (* -1/3 (log x)) (* 1/3 (log x))) 1))))))))))
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(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x)
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(* -1 (/ (+ (* -1 (/ (+ 1 (log (/ -1 x))) x)) (* 2 (log (/ -1 x)))) x))
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Outputs
(/ (exp (/ (log x) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/ (exp (/ (log x) n)) (* n x))
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(/ (exp (/ (log x) n)) (* n x))
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(/ (exp (/ (log x) n)) (* n x))
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(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
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(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
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(/ (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))
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
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(-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) x))
(* -1 (pow (log x) 2))
(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(+ (* -1 (pow (log x) 2)) (* x (+ (log x) (* -1 (log x)))))
(-.f64 (*.f64 x #s(literal 0 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(+ (* -1 (pow (log x) 2)) (* x (+ (log x) (+ (* -1 (log x)) (* x (+ 1 (+ (* -1/2 (log x)) (* 1/2 (log x)))))))))
(-.f64 (*.f64 x (+.f64 x #s(literal 0 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(+ (* -1 (pow (log x) 2)) (* x (+ (log x) (+ (* -1 (log x)) (* x (+ 1 (+ (* -1/2 (log x)) (+ (* 1/2 (log x)) (* x (- (+ (* -1/3 (log x)) (* 1/3 (log x))) 1))))))))))
(-.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 0 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(* -2 (/ (log (/ 1 x)) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -2 binary64)) x)
(/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x)
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x)) x)
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)
(/.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x) (/.f64 (*.f64 #s(literal -2/3 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x))) (*.f64 x x))) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x)
(/.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -2/3 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x))) (*.f64 x x))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x) (/.f64 #s(literal 11/12 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x)
(* -2 (/ (log (/ -1 x)) x))
(/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) x)
(* -1 (/ (+ (* -1 (/ (+ 1 (log (/ -1 x))) x)) (* 2 (log (/ -1 x)))) x))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (+ 1 (+ (log (/ -1 x)) (* -1 (/ (+ 1 (* 2/3 (log (/ -1 x)))) x)))) x)) (* 2 (log (/ -1 x)))) x))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2/3 binary64))) x))) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (+ 1 (+ (log (/ -1 x)) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* 1/2 (log (/ -1 x)))) x)) (* 2/3 (log (/ -1 x))))) x)))) x)) (* 2 (log (/ -1 x)))) x))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 11/12 binary64) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))) x)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2/3 binary64))) x))) x)) (neg.f64 x))

eval141.0ms (0.4%)

Compiler

Compiled 31766 to 3935 computations (87.6% saved)

prune139.0ms (0.4%)

Pruning

37 alts after pruning (35 fresh and 2 done)

PrunedKeptTotal
New1165171182
Fresh91827
Picked415
Done011
Total1178371215
Accuracy
100.0%
Counts
1215 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.5%
(pow.f64 (pow.f64 (/.f64 n (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓61.4%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
27.4%
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) n) #s(literal -1/2 binary64)) (*.f64 x x)) n)
25.9%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
35.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
61.4%
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
49.1%
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))))
35.0%
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
22.5%
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (+.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))))
35.6%
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (*.f64 n (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
22.5%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
▶7.4%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 n (*.f64 n n)))
7.1%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.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)))
22.7%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 n (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (*.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))))))) (*.f64 n (*.f64 n n)))
25.2%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
30.6%
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) n)) (*.f64 n n))
▶63.2%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
49.2%
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) n)) n)))
▶36.3%
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log.f64 x))))
49.1%
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x))))))))
63.2%
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
49.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))) n))
34.2%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
28.2%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶19.9%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
19.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
9.0%
(-.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 (*.f64 (*.f64 n n) #s(literal 1/3 binary64)) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
6.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64))
53.0%
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
36.0%
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) n)))
✓36.0%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
30.6%
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
36.4%
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))
7.4%
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) n))
49.2%
(*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
7.2%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
▶35.7%
#s(literal 0 binary64)
Compiler

Compiled 2044 to 1007 computations (50.7% saved)

simplify171.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n)
✓cost-diff0
(/.f64 n (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log.f64 x)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log.f64 x))))
✓cost-diff6336
(-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log.f64 x))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))
✓cost-diff0
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓cost-diff128
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
✓cost-diff128
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
✓cost-diff0
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 n (*.f64 n n)))
✓cost-diff256
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
✓cost-diff0
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
✓cost-diff0
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
Rules
2696×*-lowering-*.f32
2696×*-lowering-*.f64
1284×+-lowering-+.f64
1284×+-lowering-+.f32
1058×fma-lowering-fma.f32
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
040270
1107251
2310248
3779245
41995245
54142243
66856240
08134240
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (log (/ (+ x 1) x)) n)
(log (/ (+ x 1) x))
(/ (+ x 1) x)
(+ x 1)
x
1
n
0
(/ (+ (* (* x (* x x)) 1/6) (* (* n (* x x)) (+ 1/2 (* -1/2 x)))) (* n (* n n)))
(+ (* (* x (* x x)) 1/6) (* (* n (* x x)) (+ 1/2 (* -1/2 x))))
(* (* x (* x x)) 1/6)
(* x (* x x))
x
(* x x)
1/6
(* (* n (* x x)) (+ 1/2 (* -1/2 x)))
(* n (* x x))
n
(+ 1/2 (* -1/2 x))
1/2
(* -1/2 x)
-1/2
(* n (* n n))
(* n n)
(- (+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))) (pow x (/ 1 n)))
(+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))))
1
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))
x
(+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))
(/ 1 n)
n
(* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(/ 1/2 (* n n))
1/2
(* n n)
(/ -1/2 n)
-1/2
(pow x (/ 1 n))
(/ 1 (/ n (- (/ (* (pow (log x) 2) -1/2) n) (log x))))
1
(/ n (- (/ (* (pow (log x) 2) -1/2) n) (log x)))
n
(- (/ (* (pow (log x) 2) -1/2) n) (log x))
(/ (* (pow (log x) 2) -1/2) n)
(* (pow (log x) 2) -1/2)
(pow (log x) 2)
(log x)
x
2
-1/2
Outputs
(/ (log (/ (+ x 1) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(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)
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
n
0
#s(literal 0 binary64)
(/ (+ (* (* x (* x x)) 1/6) (* (* n (* x x)) (+ 1/2 (* -1/2 x)))) (* n (* n n)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 n (*.f64 n n)))
(+ (* (* x (* x x)) 1/6) (* (* n (* x x)) (+ 1/2 (* -1/2 x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (* x (* x x)) 1/6)
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
1/6
#s(literal 1/6 binary64)
(* (* n (* x x)) (+ 1/2 (* -1/2 x)))
(*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x n)))
(* n (* x x))
(*.f64 n (*.f64 x x))
n
(+ 1/2 (* -1/2 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* n (* n n))
(*.f64 n (*.f64 n n))
(* n n)
(*.f64 n n)
(- (+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))) (pow x (/ 1 n)))
(+.f64 (*.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))
1
#s(literal 1 binary64)
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))
(*.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))
x
(+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))
(*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(/ 1/2 (* n n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
1/2
#s(literal 1/2 binary64)
(* n n)
(*.f64 n n)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
-1/2
#s(literal -1/2 binary64)
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ 1 (/ n (- (/ (* (pow (log x) 2) -1/2) n) (log x))))
(/.f64 (*.f64 (log.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) n))) n)
1
#s(literal 1 binary64)
(/ n (- (/ (* (pow (log x) 2) -1/2) n) (log x)))
(/.f64 n (*.f64 (log.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) n))))
n
(- (/ (* (pow (log x) 2) -1/2) n) (log x))
(*.f64 (log.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 x)) n)))
(/ (* (pow (log x) 2) -1/2) n)
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)
(* (pow (log x) 2) -1/2)
(*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(log x)
(log.f64 x)
x
2
#s(literal 2 binary64)
-1/2
#s(literal -1/2 binary64)

localize368.0ms (1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.f64 n (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log.f64 x)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log.f64 x))))
✓accuracy99.7%
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n)
✓accuracy99.2%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓accuracy98.3%
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
✓accuracy97.6%
(*.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)))))
✓accuracy94.3%
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
✓accuracy69.2%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy99.8%
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
✓accuracy91.4%
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))))
✓accuracy86.8%
(*.f64 n (*.f64 x x))
✓accuracy67.0%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 n (*.f64 n n)))
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
✓accuracy99.5%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
✓accuracy56.8%
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
Results
179.0ms135×1valid
91.0ms54×2valid
36.0ms67×0valid
Compiler

Compiled 309 to 41 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 149.0ms
ival-mult: 30.0ms (20.2% of total)
ival-div: 29.0ms (19.5% of total)
backward-pass: 25.0ms (16.8% of total)
ival-log: 21.0ms (14.1% of total)
ival-pow: 16.0ms (10.8% of total)
ival-add: 15.0ms (10.1% of total)
...c/correct-round.rkt:119:19: 7.0ms (4.7% of total)
ival-sub: 4.0ms (2.7% of total)
const: 1.0ms (0.7% of total)

series29.0ms (0.1%)

Counts
20 → 384
Calls
Call 1
Inputs
#<alt (/ (log (/ (+ x 1) x)) n)>
#<alt (log (/ (+ x 1) x))>
#<alt (/ (+ x 1) x)>
#<alt (+ x 1)>
#<alt (+ (* (* x (* x x)) 1/6) (* (* n (* x x)) (+ 1/2 (* -1/2 x))))>
#<alt (/ (+ (* (* x (* x x)) 1/6) (* (* n (* x x)) (+ 1/2 (* -1/2 x)))) (* n (* n n)))>
#<alt (* (* x (* x x)) 1/6)>
#<alt (* x (* x x))>
#<alt (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))>
#<alt (+ (/ 1/2 (* n n)) (/ -1/2 n))>
#<alt (- (+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))) (pow x (/ 1 n)))>
#<alt (+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))))>
#<alt (- (/ (* (pow (log x) 2) -1/2) n) (log x))>
#<alt (/ 1 (/ n (- (/ (* (pow (log x) 2) -1/2) n) (log x))))>
#<alt (/ n (- (/ (* (pow (log x) 2) -1/2) n) (log x)))>
#<alt (/ (* (pow (log x) 2) -1/2) n)>
#<alt (* n (* x x))>
#<alt (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))>
#<alt (/ 1/2 (* n n))>
#<alt (pow (log x) 2)>
Outputs
#<alt (* -1 (/ (log x) n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (/ 1 (* n x))>
#<alt (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)>
#<alt (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (* -1 (log x))>
#<alt (+ x (* -1 (log x)))>
#<alt (+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))>
#<alt (+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* 1/2 (* n (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 n) (* x (+ 1/6 (* -1/2 n)))))>
#<alt (* (pow x 2) (+ (* 1/2 n) (* x (+ 1/6 (* -1/2 n)))))>
#<alt (* (pow x 2) (+ (* 1/2 n) (* x (+ 1/6 (* -1/2 n)))))>
#<alt (* (pow x 3) (+ 1/6 (* -1/2 n)))>
#<alt (* (pow x 3) (+ 1/6 (+ (* -1/2 n) (* 1/2 (/ n x)))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* -1/2 n) (* 1/2 (/ n x)))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* -1/2 n) (* 1/2 (/ n x)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 n) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (+ (* -1/2 (/ n x)) (* 1/2 n)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (+ (* -1/2 (/ n x)) (* 1/2 n)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (+ (* -1/2 (/ n x)) (* 1/2 n)) 1/6)))>
#<alt (* 1/6 (pow x 3))>
#<alt (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x)))))>
#<alt (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x)))))>
#<alt (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x)))))>
#<alt (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))>
#<alt (* n (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))))>
#<alt (* n (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))))>
#<alt (* n (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))))>
#<alt (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))>
#<alt (* -1 (* n (+ (* -1 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* -1/6 (/ (pow x 3) n)))))>
#<alt (* -1 (* n (+ (* -1 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* -1/6 (/ (pow x 3) n)))))>
#<alt (* -1 (* n (+ (* -1 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* -1/6 (/ (pow x 3) n)))))>
#<alt (* 1/2 (/ (pow x 2) (pow n 2)))>
#<alt (* (pow x 2) (+ (* x (- (* 1/6 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* (pow x 2) (+ (* x (- (* 1/6 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* (pow x 2) (+ (* x (- (* 1/6 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (/ (* (pow x 3) (+ 1/6 (* -1/2 n))) (pow n 3))>
#<alt (* (pow x 3) (+ (/ -1/2 (pow n 2)) (+ (* 1/2 (/ 1 (* (pow n 2) x))) (* 1/6 (/ 1 (pow n 3))))))>
#<alt (* (pow x 3) (+ (/ -1/2 (pow n 2)) (+ (* 1/2 (/ 1 (* (pow n 2) x))) (* 1/6 (/ 1 (pow n 3))))))>
#<alt (* (pow x 3) (+ (/ -1/2 (pow n 2)) (+ (* 1/2 (/ 1 (* (pow n 2) x))) (* 1/6 (/ 1 (pow n 3))))))>
#<alt (* -1 (/ (* (pow x 3) (- (* 1/2 n) 1/6)) (pow n 3)))>
#<alt (* -1 (* (pow x 3) (- (/ 1/2 (pow n 2)) (+ (* 1/2 (/ 1 (* (pow n 2) x))) (* 1/6 (/ 1 (pow n 3)))))))>
#<alt (* -1 (* (pow x 3) (- (/ 1/2 (pow n 2)) (+ (* 1/2 (/ 1 (* (pow n 2) x))) (* 1/6 (/ 1 (pow n 3)))))))>
#<alt (* -1 (* (pow x 3) (- (/ 1/2 (pow n 2)) (+ (* 1/2 (/ 1 (* (pow n 2) x))) (* 1/6 (/ 1 (pow n 3)))))))>
#<alt (* 1/6 (/ (pow x 3) (pow n 3)))>
#<alt (/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3))>
#<alt (/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3))>
#<alt (/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3))>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2))>
#<alt (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) (pow n 2))>
#<alt (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) (pow n 2))>
#<alt (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) (pow n 2))>
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2))>
#<alt (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) (pow n 2))>
#<alt (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) (pow n 2))>
#<alt (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) (pow n 2))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ x n)>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* 1/2 (/ (pow x 2) (pow n 2)))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (* x (+ 1 (* -1/2 x))) n)>
#<alt (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)>
#<alt (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)>
#<alt (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)>
#<alt (* -1 (/ (* x (- (* 1/2 x) 1)) n))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ (+ 1/2 (* -1/2 n)) (pow n 2))>
#<alt (/ (+ 1/2 (* -1/2 n)) (pow n 2))>
#<alt (/ (+ 1/2 (* -1/2 n)) (pow n 2))>
#<alt (/ -1/2 n)>
#<alt (/ (- (* 1/2 (/ 1 n)) 1/2) n)>
#<alt (/ (- (* 1/2 (/ 1 n)) 1/2) n)>
#<alt (/ (- (* 1/2 (/ 1 n)) 1/2) n)>
#<alt (/ -1/2 n)>
#<alt (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))>
#<alt (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))>
#<alt (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))>
#<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))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (+ (* 1/2 (/ 1 n)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (pow x 2)))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (+ (* 1/2 (/ 1 n)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n)) x)) (* 1/2 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n)) x)) (* 1/2 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))>
#<alt (* 1/2 (/ (pow x 2) (pow n 2)))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ (* n (- 1 (exp (/ (log x) n)))) (* x (+ 1 (* -1/2 x)))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ (* n (- 1 (exp (/ (log x) n)))) (* x (+ 1 (* -1/2 x)))))) (pow n 2))>
#<alt (/ (- (* x (+ 1 (* -1/2 x))) (log x)) n)>
#<alt (/ (- (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x))))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (+ (* -1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x))))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)>
#<alt (* -1 (/ (- (* x (- (* 1/2 x) 1)) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (pow (log x) 2))) n)) (* x (- (* 1/2 x) 1))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n)) (* x (- (* 1/2 x) 1))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n)) (* x (- (* 1/2 x) 1))) (* -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))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (* 1/2 (/ (pow x 2) (pow n 2)))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2))>
#<alt 1>
#<alt (+ 1 (/ (* x (+ 1 (* -1/2 x))) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))>
#<alt (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x))))>
#<alt (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x))))>
#<alt (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x))))>
#<alt (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x))))>
#<alt (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) n)>
#<alt (/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) n)>
#<alt (/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) n)>
#<alt (* -1 (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (* -1 (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (- (* -1/2 (/ (pow (log x) 2) n)) (log x))>
#<alt (* -1/2 (/ (pow (log x) 2) (pow n 2)))>
#<alt (/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) (pow n 2))>
#<alt (/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) (pow n 2))>
#<alt (/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) (pow n 2))>
#<alt (* -1 (/ (log x) n))>
#<alt (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)>
#<alt (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)>
#<alt (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n))>
#<alt (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n))>
#<alt (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n))>
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (/ (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))) n)>
#<alt (/ (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))) n)>
#<alt (/ (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))) n)>
#<alt (/ (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))) n)>
#<alt (/ (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))) n)>
#<alt (/ (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))) n)>
#<alt (/ (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))) n)>
#<alt (/ (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))) n)>
#<alt (* -2 (/ (pow n 2) (pow (log x) 2)))>
#<alt (* (pow n 2) (- (* 4 (/ n (pow (log x) 3))) (* 2 (/ 1 (pow (log x) 2)))))>
#<alt (* (pow n 2) (- (* n (+ (* -8 (/ n (pow (log x) 4))) (* 4 (/ 1 (pow (log x) 3))))) (* 2 (/ 1 (pow (log x) 2)))))>
#<alt (* (pow n 2) (- (* n (+ (* n (- (* 16 (/ n (pow (log x) 5))) (* 8 (/ 1 (pow (log x) 4))))) (* 4 (/ 1 (pow (log x) 3))))) (* 2 (/ 1 (pow (log x) 2)))))>
#<alt (* -1 (/ n (log x)))>
#<alt (* n (- (* 1/2 (/ 1 n)) (/ 1 (log x))))>
#<alt (* n (- (+ (* -1/4 (/ (log x) (pow n 2))) (* 1/2 (/ 1 n))) (/ 1 (log x))))>
#<alt (* n (- (+ (* 1/8 (/ (pow (log x) 2) (pow n 3))) (* 1/2 (/ 1 n))) (+ (* 1/4 (/ (log x) (pow n 2))) (/ 1 (log x)))))>
#<alt (* -1 (/ n (log x)))>
#<alt (* -1 (* n (- (/ 1 (log x)) (* 1/2 (/ 1 n)))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ 1/2 (* -1/4 (/ (log x) n))) n)) (/ 1 (log x)))))>
#<alt (* -1 (* n (+ (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (log x) 2) n)) (* -1/4 (log x))) n))) n)) (/ 1 (log x)))))>
#<alt (/ n (- (* -1/2 (/ (pow (log x) 2) n)) (log x)))>
#<alt (/ n (- (* -1/2 (/ (pow (log x) 2) n)) (log x)))>
#<alt (/ n (- (* -1/2 (/ (pow (log x) 2) n)) (log x)))>
#<alt (/ n (- (* -1/2 (/ (pow (log x) 2) n)) (log x)))>
#<alt (/ n (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))))>
#<alt (/ n (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))))>
#<alt (/ n (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))))>
#<alt (/ n (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))))>
#<alt (/ n (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (/ n (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (/ n (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (/ n (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log (/ 1 x)) 2) n))>
#<alt (* -1/2 (/ (pow (log (/ 1 x)) 2) n))>
#<alt (* -1/2 (/ (pow (log (/ 1 x)) 2) n))>
#<alt (* -1/2 (/ (pow (log (/ 1 x)) 2) n))>
#<alt (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))>
#<alt (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))>
#<alt (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))>
#<alt (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* -1/2 (/ (pow (log x) 2) n))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* n (pow x 2))>
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* 1/2 (/ x (pow n 2)))>
#<alt (/ (+ (* -1/2 (* n x)) (* 1/2 x)) (pow n 2))>
#<alt (/ (+ (* -1/2 (* n x)) (* 1/2 x)) (pow n 2))>
#<alt (/ (+ (* -1/2 (* n x)) (* 1/2 x)) (pow n 2))>
#<alt (* -1/2 (/ x n))>
#<alt (/ (+ (* -1/2 x) (* 1/2 (/ x n))) n)>
#<alt (/ (+ (* -1/2 x) (* 1/2 (/ x n))) n)>
#<alt (/ (+ (* -1/2 x) (* 1/2 (/ x n))) n)>
#<alt (* -1/2 (/ x n))>
#<alt (* -1 (/ (+ (* -1/2 (/ x n)) (* 1/2 x)) n))>
#<alt (* -1 (/ (+ (* -1/2 (/ x n)) (* 1/2 x)) n))>
#<alt (* -1 (/ (+ (* -1/2 (/ x n)) (* 1/2 x)) n))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log x) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (log (/ 1 x)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)>
Calls

96 calls:

TimeVariablePointExpression
1.0ms
n
@0
(+ (* (* x (* x x)) 1/6) (* (* n (* x x)) (+ 1/2 (* -1/2 x))))
1.0ms
x
@-inf
(- (/ (* (pow (log x) 2) -1/2) n) (log x))
1.0ms
x
@-inf
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))
1.0ms
x
@-inf
(/ n (- (/ (* (pow (log x) 2) -1/2) n) (log x)))
1.0ms
x
@inf
(+ (* (* x (* x x)) 1/6) (* (* n (* x x)) (+ 1/2 (* -1/2 x))))

rewrite333.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
2972×*-lowering-*.f32
2972×*-lowering-*.f64
2878×/-lowering-/.f32
2878×/-lowering-/.f64
1958×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039194
1276176
22800176
08691176
Stop Event
1×iter limit
1×node limit
Counts
20 → 631
Calls
Call 1
Inputs
(/ (log (/ (+ x 1) x)) n)
(log (/ (+ x 1) x))
(/ (+ x 1) x)
(+ x 1)
(+ (* (* x (* x x)) 1/6) (* (* n (* x x)) (+ 1/2 (* -1/2 x))))
(/ (+ (* (* x (* x x)) 1/6) (* (* n (* x x)) (+ 1/2 (* -1/2 x)))) (* n (* n n)))
(* (* x (* x x)) 1/6)
(* x (* x x))
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(- (+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))) (pow x (/ 1 n)))
(+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))))
(- (/ (* (pow (log x) 2) -1/2) n) (log x))
(/ 1 (/ n (- (/ (* (pow (log x) 2) -1/2) n) (log x))))
(/ n (- (/ (* (pow (log x) 2) -1/2) n) (log x)))
(/ (* (pow (log x) 2) -1/2) n)
(* n (* x x))
(* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(/ 1/2 (* n n))
(pow (log x) 2)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64))))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) n))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) n)
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (-.f64 (log1p.f64 x) (*.f64 (log.f64 x) #s(literal 1 binary64))) n)
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(*.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 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n))
(*.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(+.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log.f64 x)))
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(pow.f64 (/.f64 (*.f64 n n) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 n n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 n (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 n n))))
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1 binary64) n))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (log.f64 x)) (log.f64 (log.f64 x))))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 x)))
(*.f64 (log.f64 x) (log.f64 x))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x)))

simplify297.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
3996×*-lowering-*.f32
3996×*-lowering-*.f64
1982×+-lowering-+.f64
1982×+-lowering-+.f32
1374×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04464460
114753931
244203886
082003886
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
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1
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1
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(* -1 (* n (- (/ 1 (log x)) (* 1/2 (/ 1 n)))))
(* -1 (* n (+ (* -1 (/ (+ 1/2 (* -1/4 (/ (log x) n))) n)) (/ 1 (log x)))))
(* -1 (* n (+ (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (log x) 2) n)) (* -1/4 (log x))) n))) n)) (/ 1 (log x)))))
(/ n (- (* -1/2 (/ (pow (log x) 2) n)) (log x)))
(/ n (- (* -1/2 (/ (pow (log x) 2) n)) (log x)))
(/ n (- (* -1/2 (/ (pow (log x) 2) n)) (log x)))
(/ n (- (* -1/2 (/ (pow (log x) 2) n)) (log x)))
(/ n (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))))
(/ n (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))))
(/ n (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))))
(/ n (- (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* -1 (log (/ 1 x)))))
(/ n (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))))
(/ n (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))))
(/ n (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))))
(/ n (- (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (log -1) (* -1 (log (/ -1 x))))))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log (/ 1 x)) 2) n))
(* -1/2 (/ (pow (log (/ 1 x)) 2) n))
(* -1/2 (/ (pow (log (/ 1 x)) 2) n))
(* -1/2 (/ (pow (log (/ 1 x)) 2) n))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))
(* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* -1/2 (/ (pow (log x) 2) n))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* n (pow x 2))
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* 1/2 (/ x (pow n 2)))
(/ (+ (* -1/2 (* n x)) (* 1/2 x)) (pow n 2))
(/ (+ (* -1/2 (* n x)) (* 1/2 x)) (pow n 2))
(/ (+ (* -1/2 (* n x)) (* 1/2 x)) (pow n 2))
(* -1/2 (/ x n))
(/ (+ (* -1/2 x) (* 1/2 (/ x n))) n)
(/ (+ (* -1/2 x) (* 1/2 (/ x n))) n)
(/ (+ (* -1/2 x) (* 1/2 (/ x n))) n)
(* -1/2 (/ x n))
(* -1 (/ (+ (* -1/2 (/ x n)) (* 1/2 x)) n))
(* -1 (/ (+ (* -1/2 (/ x n)) (* 1/2 x)) n))
(* -1 (/ (+ (* -1/2 (/ x n)) (* 1/2 x)) n))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log x) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (log (/ 1 x)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
Outputs
(* -1 (/ (log x) n))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(-.f64 (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) n) (/.f64 #s(literal 1 binary64) n))) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal 1/3 binary64)) n) (/.f64 #s(literal -1/2 binary64) n))))) (/.f64 (log.f64 x) n))
(/ 1 (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x)) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 x (*.f64 x x))))) x)
(/ 1 (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x n)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) x) n) (/.f64 #s(literal -1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(* -1 (log x))
(-.f64 #s(literal 0 binary64) (log.f64 x))
(+ x (* -1 (log x)))
(-.f64 x (log.f64 x))
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x))
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) (log.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (-.f64 #s(literal 0 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 x) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(/ (+ 1 x) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(/ (+ 1 x) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* 1/2 (* n (pow x 2)))
(*.f64 n (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (+ (* 1/2 n) (* x (+ 1/6 (* -1/2 n)))))
(*.f64 x (*.f64 x (+.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 n #s(literal -1/2 binary64)))))))
(* (pow x 2) (+ (* 1/2 n) (* x (+ 1/6 (* -1/2 n)))))
(*.f64 x (*.f64 x (+.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 n #s(literal -1/2 binary64)))))))
(* (pow x 2) (+ (* 1/2 n) (* x (+ 1/6 (* -1/2 n)))))
(*.f64 x (*.f64 x (+.f64 (*.f64 n #s(literal 1/2 binary64)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 n #s(literal -1/2 binary64)))))))
(* (pow x 3) (+ 1/6 (* -1/2 n)))
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 n #s(literal -1/2 binary64))))))
(* (pow x 3) (+ 1/6 (+ (* -1/2 n) (* 1/2 (/ n x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 n #s(literal 1/2 binary64)) x))))
(* (pow x 3) (+ 1/6 (+ (* -1/2 n) (* 1/2 (/ n x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 n #s(literal 1/2 binary64)) x))))
(* (pow x 3) (+ 1/6 (+ (* -1/2 n) (* 1/2 (/ n x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (+.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 n #s(literal 1/2 binary64)) x))))
(* -1 (* (pow x 3) (- (* 1/2 n) 1/6)))
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 n #s(literal 1/2 binary64)) #s(literal -1/6 binary64))))
(* -1 (* (pow x 3) (- (+ (* -1/2 (/ n x)) (* 1/2 n)) 1/6)))
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 n #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 n #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)))))
(* -1 (* (pow x 3) (- (+ (* -1/2 (/ n x)) (* 1/2 n)) 1/6)))
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 n #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 n #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)))))
(* -1 (* (pow x 3) (- (+ (* -1/2 (/ n x)) (* 1/2 n)) 1/6)))
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 n #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 n #s(literal -1/2 binary64)) x) #s(literal -1/6 binary64)))))
(* 1/6 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))
(+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* n (* (pow x 2) (+ 1/2 (* -1/2 x))))
(*.f64 (*.f64 x x) (*.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* n (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))))
(*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) n)))
(* n (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))))
(*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) n)))
(* n (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))))
(*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) n)))
(* n (* (pow x 2) (+ 1/2 (* -1/2 x))))
(*.f64 (*.f64 x x) (*.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(* -1 (* n (+ (* -1 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* -1/6 (/ (pow x 3) n)))))
(*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) n)))
(* -1 (* n (+ (* -1 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* -1/6 (/ (pow x 3) n)))))
(*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) n)))
(* -1 (* n (+ (* -1 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* -1/6 (/ (pow x 3) n)))))
(*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) n)))
(* 1/2 (/ (pow x 2) (pow n 2)))
(/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) n) n)
(* (pow x 2) (+ (* x (- (* 1/6 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (* 1/2 (/ 1 (pow n 2)))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))
(* (pow x 2) (+ (* x (- (* 1/6 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (* 1/2 (/ 1 (pow n 2)))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))
(* (pow x 2) (+ (* x (- (* 1/6 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (* 1/2 (/ 1 (pow n 2)))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))
(/ (* (pow x 3) (+ 1/6 (* -1/2 n))) (pow n 3))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))))
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(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))

eval170.0ms (0.4%)

Compiler

Compiled 29574 to 3058 computations (89.7% saved)

prune145.0ms (0.4%)

Pruning

43 alts after pruning (39 fresh and 4 done)

PrunedKeptTotal
New993221015
Fresh131730
Picked325
Done022
Total1009431052
Accuracy
100.0%
Counts
1052 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.7%
(pow.f64 (pow.f64 (/.f64 n (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 n #s(literal -1/2 binary64))) (log.f64 x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓61.4%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
27.4%
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) n) #s(literal -1/2 binary64)) (*.f64 x x)) n)
39.7%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
25.9%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
5.3%
(/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) n) n)
35.0%
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
61.4%
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
35.0%
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
22.5%
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (+.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))))
22.5%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
30.4%
(/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (/.f64 (*.f64 n (*.f64 n n)) #s(literal -1/8 binary64))) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (+.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 n #s(literal -1/2 binary64))))))))
36.2%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 n #s(literal -1/2 binary64))))))
30.7%
(/.f64 (-.f64 x (log.f64 x)) n)
39.8%
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
7.1%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.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)))
22.7%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 n (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (*.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))))))) (*.f64 n (*.f64 n n)))
4.0%
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 n n))
25.2%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
8.4%
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))
30.6%
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) n)) (*.f64 n n))
3.7%
(/.f64 (*.f64 n (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 n (*.f64 n n)))
✓63.2%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
30.6%
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 #s(literal 0 binary64) (log.f64 x))))
40.6%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (log.f64 x) n) #s(literal -1/4 binary64))) n)) (/.f64 n (log.f64 x))))
34.2%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
30.7%
(/.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1 binary64) (log.f64 x)))))
30.7%
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
28.2%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
28.9%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) n)) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
8.3%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) (/.f64 (*.f64 n n) #s(literal 1/2 binary64))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
19.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
6.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64))
53.0%
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
36.0%
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) n)))
✓36.0%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
7.4%
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) n))
63.1%
(*.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)))
63.1%
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
8.7%
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))))
3.9%
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
4.3%
(*.f64 (*.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
✓35.7%
#s(literal 0 binary64)
Compiler

Compiled 2969 to 915 computations (69.2% saved)

regimes93.0ms (0.2%)

Counts
82 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) n))
(/.f64 (*.f64 n (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 n n))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 n (*.f64 n n)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.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 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 #s(literal 0 binary64) (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(-.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) n) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1 binary64) (log.f64 x)))))
(/.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 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) n) #s(literal -1/2 binary64)) (*.f64 x x)) n)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (/.f64 #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 #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) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n 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 1/8 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) (/.f64 (*.f64 n n) #s(literal 1/2 binary64))))))))) (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 (*.f64 (*.f64 n n) #s(literal 1/3 binary64)) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.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 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.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 #s(literal 1 binary64) (-.f64 (*.f64 n (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (log.f64 x) n) #s(literal -1/4 binary64))) n)) (/.f64 n (log.f64 x))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) n)) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) n)) n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))) x)) (/.f64 #s(literal -1/2 binary64) x))) x) n)
(/.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 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x))) x)
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 n (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (*.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))))))) (*.f64 n (*.f64 n n)))
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.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)))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log.f64 x))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)
(*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))) n))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (pow.f64 (/.f64 n (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 n #s(literal -1/2 binary64))) (log.f64 x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 n (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(/.f64 (+.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (*.f64 n n))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 n #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (*.f64 n (+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (/.f64 (*.f64 n (*.f64 n n)) #s(literal -1/8 binary64))) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (+.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 n #s(literal -1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))) (*.f64 n (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)))))) n)
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (+.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

23.0ms
x
21.0ms
n
21.0ms
(/.f64 #s(literal 1 binary64) n)
18.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
81.4%2x
87.0%3n
87.0%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)))
87.4%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes28.0ms (0.1%)

Counts
70 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) n))
(/.f64 (*.f64 n (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 n n))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 n (*.f64 n n)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.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 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 #s(literal 0 binary64) (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(-.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) n) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1 binary64) (log.f64 x)))))
(/.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 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) n) #s(literal -1/2 binary64)) (*.f64 x x)) n)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (/.f64 #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 #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) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n 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 1/8 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) (/.f64 (*.f64 n n) #s(literal 1/2 binary64))))))))) (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 (*.f64 (*.f64 n n) #s(literal 1/3 binary64)) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.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 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.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 #s(literal 1 binary64) (-.f64 (*.f64 n (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (log.f64 x) n) #s(literal -1/4 binary64))) n)) (/.f64 n (log.f64 x))))
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) n)) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) n)) n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))) x)) (/.f64 #s(literal -1/2 binary64) x))) x) n)
(/.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 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x))) x)
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 n (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (*.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))))))))) (*.f64 n (*.f64 n n)))
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.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)))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log.f64 x))))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)
(*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))) n))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (pow.f64 (/.f64 n (-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 n #s(literal -1/2 binary64))) (log.f64 x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 n (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

21.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
87.3%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes30.0ms (0.1%)

Counts
48 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) n))
(/.f64 (*.f64 n (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 n n))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 n (*.f64 n n)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.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 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 #s(literal 0 binary64) (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(-.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) n) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1 binary64) (log.f64 x)))))
(/.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 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) n) #s(literal -1/2 binary64)) (*.f64 x x)) n)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (/.f64 #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 #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) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n 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 1/8 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) (/.f64 (*.f64 n n) #s(literal 1/2 binary64))))))))) (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 (*.f64 (*.f64 n n) #s(literal 1/3 binary64)) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.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)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) n)) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

2 calls:

13.0ms
(/.f64 #s(literal 1 binary64) n)
13.0ms
n
Results
AccuracySegmentsBranch
85.6%4n
85.5%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes67.0ms (0.2%)

Counts
40 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) n))
(/.f64 (*.f64 n (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 n n))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 n (*.f64 n n)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.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 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 #s(literal 0 binary64) (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(-.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) n) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1 binary64) (log.f64 x)))))
(/.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 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) n) #s(literal -1/2 binary64)) (*.f64 x x)) n)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) 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 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) n) #s(literal -1/2 binary64)) (*.f64 x x)) n)
Calls

2 calls:

53.0ms
(/.f64 #s(literal 1 binary64) n)
11.0ms
n
Results
AccuracySegmentsBranch
84.8%5n
84.8%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes14.0ms (0%)

Counts
39 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) n))
(/.f64 (*.f64 n (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 n n))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 n (*.f64 n n)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.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 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 #s(literal 0 binary64) (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(-.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) n) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1 binary64) (log.f64 x)))))
(/.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 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) 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) x) n)
Calls

1 calls:

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

Compiled 5 to 4 computations (20% saved)

regimes14.0ms (0%)

Counts
33 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) n))
(/.f64 (*.f64 n (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 n n))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 n (*.f64 n n)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.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 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 #s(literal 0 binary64) (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
Calls

1 calls:

11.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.6%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes12.0ms (0%)

Counts
32 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) n) n)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) n))
(/.f64 (*.f64 n (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 n (*.f64 n n)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
(*.f64 (*.f64 x x) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 n n))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 n (*.f64 n n)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.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 (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 #s(literal 0 binary64) (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
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 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
Calls

1 calls:

9.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.6%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes28.0ms (0.1%)

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

3 calls:

9.0ms
x
8.0ms
(/.f64 #s(literal 1 binary64) n)
8.0ms
n
Results
AccuracySegmentsBranch
71.6%4n
63.2%1x
71.3%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes27.0ms (0.1%)

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

3 calls:

10.0ms
x
7.0ms
(/.f64 #s(literal 1 binary64) n)
7.0ms
n
Results
AccuracySegmentsBranch
63.0%2x
63.3%6n
62.9%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes9.0ms (0%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
62.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.1%)

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

3 calls:

7.0ms
n
6.0ms
x
6.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
50.5%3n
50.0%2(/.f64 #s(literal 1 binary64) n)
49.2%2x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
Outputs
#s(literal 0 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
Calls

1 calls:

2.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
50.0%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (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

2 calls:

2.0ms
x
2.0ms
n
Results
AccuracySegmentsBranch
49.6%3n
44.4%2x
Compiler

Compiled 6 to 4 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:

2.0ms
x
1.0ms
n
Results
AccuracySegmentsBranch
35.7%1x
35.7%1n
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
7.50507134480374e-16
4.084133789296281e-5
0.0ms
-0.0023454198623546626
-1.4002932648919187e-15
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
7.50507134480374e-16
4.084133789296281e-5
0.0ms
-0.0023454198623546626
-1.4002932648919187e-15
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
7.50507134480374e-16
4.084133789296281e-5
0.0ms
-0.0023454198623546626
-1.4002932648919187e-15
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
5.387122829727049e+119
2.4507722535495812e+129
0.0ms
7.50507134480374e-16
4.084133789296281e-5
0.0ms
-0.0023454198623546626
-1.4002932648919187e-15
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.0082058660400508e+233
4.8746001984543775e+262
0.0ms
7.50507134480374e-16
4.084133789296281e-5
0.0ms
-0.0023454198623546626
-1.4002932648919187e-15
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.0082058660400508e+233
4.8746001984543775e+262
0.0ms
7.50507134480374e-16
4.084133789296281e-5
0.0ms
-0.0023454198623546626
-1.4002932648919187e-15
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.0082058660400508e+233
4.8746001984543775e+262
0.0ms
7.50507134480374e-16
4.084133789296281e-5
0.0ms
-0.0023454198623546626
-1.4002932648919187e-15
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0082058660400508e+233
4.8746001984543775e+262
0.0ms
7.50507134480374e-16
4.084133789296281e-5
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch35.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
1.4026838949094918e-5
16.31963228096431
Results
19.0ms80×1valid
5.0ms56×0valid
3.0ms8×2valid
1.0ms10×0unsamplable
Compiler

Compiled 137 to 102 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-pow: 13.0ms (65.1% of total)
ival-div: 2.0ms (10% of total)
backward-pass: 2.0ms (10% of total)
ival-sub: 1.0ms (5% of total)
ival-add: 1.0ms (5% of total)
const: 0.0ms (0% of total)

bsearch47.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
44.0ms
1.4026838949094918e-5
16.31963228096431
Results
27.0ms69×1valid
7.0ms17×2valid
5.0ms58×0valid
1.0ms8×0unsamplable
Compiler

Compiled 137 to 111 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-pow: 14.0ms (66.8% of total)
ival-div: 2.0ms (9.5% of total)
backward-pass: 2.0ms (9.5% of total)
ival-add: 2.0ms (9.5% of total)
ival-sub: 1.0ms (4.8% of total)
const: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.35133578449395236
-0.13807635464952947
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.35133578449395236
-0.13807635464952947
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch40.0ms (0.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
-2.4495294744704937e-295
-5.200265717872694e-302
20.0ms
-7.242369647853444
-2.8462799524971625
Results
16.0ms184×0valid
9.0ms19×2valid
5.0ms21×1valid
Compiler

Compiled 188 to 152 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-pow: 14.0ms (66.2% of total)
ival-div: 2.0ms (9.5% of total)
ival-add: 2.0ms (9.5% of total)
backward-pass: 1.0ms (4.7% of total)
ival-sub: 1.0ms (4.7% of total)
const: 0.0ms (0% of total)

simplify18.0ms (0%)

Algorithm
1×egg-herbie
Rules
38×+-commutative_binary64
26×sub-neg_binary64
22×*-commutative_binary64
10×neg-mul-1_binary64
8×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092453
1123453
2143453
3152453
4157453
5158453
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (-.f64 (log1p.f64 x) (log.f64 x))) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) n)) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) n) #s(literal -1/2 binary64)) (*.f64 x x)) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999994748125414798206386781940654103870288115773705575754254101707450789247290045244536209973628038081508917958515474913592325519839455614458997134622285207612621595766999084978486403653867899125617898089591542962949455872 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) x) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999994748125414798206386781940654103870288115773705575754254101707450789247290045244536209973628038081508917958515474913592325519839455614458997134622285207612621595766999084978486403653867899125617898089591542962949455872 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 #s(literal 1 binary64) x) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999994748125414798206386781940654103870288115773705575754254101707450789247290045244536209973628038081508917958515474913592325519839455614458997134622285207612621595766999084978486403653867899125617898089591542962949455872 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 #s(literal 1 binary64) x) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999994748125414798206386781940654103870288115773705575754254101707450789247290045244536209973628038081508917958515474913592325519839455614458997134622285207612621595766999084978486403653867899125617898089591542962949455872 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 #s(literal 1 binary64) x) n)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) #s(literal 0 binary64))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3602879701896397/18014398509481984 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3602879701896397/18014398509481984 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(if (<=.f64 n #s(literal -7 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (if (<=.f64 n #s(literal -2639025027213943/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
#s(literal 0 binary64)
Outputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (-.f64 (log1p.f64 x) (log.f64 x))) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) n)) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) n)) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) n) #s(literal -1/2 binary64)) (*.f64 x x)) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 999999999999999980003468347394201181668805192897008518188648311830772414627428725464789434929992439754776075181077037056 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) n) #s(literal -1/2 binary64)) (*.f64 x x)) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999994748125414798206386781940654103870288115773705575754254101707450789247290045244536209973628038081508917958515474913592325519839455614458997134622285207612621595766999084978486403653867899125617898089591542962949455872 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) x) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999994748125414798206386781940654103870288115773705575754254101707450789247290045244536209973628038081508917958515474913592325519839455614458997134622285207612621595766999084978486403653867899125617898089591542962949455872 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) x) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999994748125414798206386781940654103870288115773705575754254101707450789247290045244536209973628038081508917958515474913592325519839455614458997134622285207612621595766999084978486403653867899125617898089591542962949455872 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 #s(literal 1 binary64) x) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999994748125414798206386781940654103870288115773705575754254101707450789247290045244536209973628038081508917958515474913592325519839455614458997134622285207612621595766999084978486403653867899125617898089591542962949455872 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 #s(literal 1 binary64) x) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999994748125414798206386781940654103870288115773705575754254101707450789247290045244536209973628038081508917958515474913592325519839455614458997134622285207612621595766999084978486403653867899125617898089591542962949455872 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 #s(literal 1 binary64) x) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/576460752303423488 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999994748125414798206386781940654103870288115773705575754254101707450789247290045244536209973628038081508917958515474913592325519839455614458997134622285207612621595766999084978486403653867899125617898089591542962949455872 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 #s(literal 1 binary64) x) n))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999994748125414798206386781940654103870288115773705575754254101707450789247290045244536209973628038081508917958515474913592325519839455614458997134622285207612621595766999084978486403653867899125617898089591542962949455872 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 #s(literal 1 binary64) x) n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999994748125414798206386781940654103870288115773705575754254101707450789247290045244536209973628038081508917958515474913592325519839455614458997134622285207612621595766999084978486403653867899125617898089591542962949455872 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 #s(literal 1 binary64) x) n)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) #s(literal 0 binary64))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3602879701896397/18014398509481984 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3602879701896397/18014398509481984 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(if (<=.f64 n #s(literal -7 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (if (<=.f64 n #s(literal -2639025027213943/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))))
(if (<=.f64 n #s(literal -7 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 n x)) (if (<=.f64 n #s(literal -2639025027213943/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x))))
#s(literal 0 binary64)

soundness2.2s (5.7%)

Rules
4730×+-lowering-+.f64
4730×+-lowering-+.f32
4290×*-lowering-*.f32
4290×*-lowering-*.f64
4098×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035240
1240221
22619219
08189219
010978162
138417373
085737373
0826
16024
243324
3485424
0829724
048272
1378242
24530242
08164242
04464460
114753931
244203886
082003886
09198151
131407156
089667156
02631600
18301384
225801304
082821304
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1246 to 638 computations (48.8% saved)

preprocess63.0ms (0.2%)

Compiler

Compiled 950 to 200 computations (78.9% saved)

end0.0ms (0%)

Profiling

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