2nthrt (problem 3.4.6)

Time bar (total: 40.9s)

analyze415.0ms (1%)

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

Compiled 16 to 9 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 291.0ms
ival-pow: 224.0ms (77% of total)
ival-sub: 40.0ms (13.7% of total)
ival-div: 13.0ms (4.5% of total)
ival-add: 11.0ms (3.8% of total)
const: 2.0ms (0.7% of total)
backward-pass: 1.0ms (0.3% of total)

sample31.5s (76.9%)

Results
26.2s7274×5exit
2.4s3800×1valid
999.0ms1913×2valid
420.0ms2543×0valid
239.0ms1541×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 28.0s
ival-pow: 25.2s (90% of total)
backward-pass: 951.0ms (3.4% of total)
ival-add: 682.0ms (2.4% of total)
ival-div: 662.0ms (2.4% of total)
ival-sub: 437.0ms (1.6% of total)
const: 69.0ms (0.2% of total)
Bogosity

preprocess48.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

explain291.0ms (0.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1021(4.569631810963049e+175 3.1393572962631686e+146)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)))
3685(7.930677753024129e+37 -1.3675158060770794e-36)0-(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
00-0-x
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) n)
00-0-n
091(7.930677753024129e+37 -1.3675158060770794e-36)0-(pow.f64 x (/.f64 #s(literal 1 binary64) n))
00-0-(+.f64 x #s(literal 1 binary64))
Results
138.0ms280×1valid
67.0ms114×2valid
19.0ms118×0valid
Compiler

Compiled 89 to 26 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 154.0ms
ival-pow: 120.0ms (77.8% of total)
backward-pass: 13.0ms (8.4% of total)
ival-div: 9.0ms (5.8% of total)
ival-add: 7.0ms (4.5% of total)
ival-sub: 5.0ms (3.2% of total)
const: 1.0ms (0.6% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 8 computations (46.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶59.0%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify13.0ms (0%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize126.0ms (0.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy87.4%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy64.1%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
72.0ms140×1valid
32.0ms57×2valid
10.0ms59×0valid
Compiler

Compiled 37 to 9 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-pow: 63.0ms (79% of total)
backward-pass: 6.0ms (7.5% of total)
ival-div: 4.0ms (5% of total)
ival-add: 3.0ms (3.8% of total)
ival-sub: 2.0ms (2.5% of total)
const: 1.0ms (1.3% of total)

series10.0ms (0%)

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

18 calls:

TimeVariablePointExpression
3.0ms
n
@inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0ms
x
@inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0ms
x
@-inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0ms
x
@0
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0ms
n
@-inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite225.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0822
15920
242520
3480320
0802620
Stop Event
1×iter limit
1×node limit
Counts
4 → 258
Calls
Call 1
Inputs
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
(pow (+ x 1) (/ 1 n))
(+ x 1)
(/ 1 n)
Outputs
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(+.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))))))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 n)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) n))
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(neg.f64 (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) n))
(/.f64 #s(literal 2 binary64) (*.f64 n #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) n))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) n) (/.f64 #s(literal 2 binary64) n)) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) n))) (*.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) n)) (*.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 n #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 n #s(literal 2 binary64))) (*.f64 n #s(literal 2 binary64))) (*.f64 (*.f64 n #s(literal 2 binary64)) (*.f64 n #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) n))) (*.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal -2 binary64) n)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) n)))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) n))) #s(literal -4 binary64))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 n #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) n) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) n) (*.f64 n #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) n) (/.f64 #s(literal 1 binary64) n))) (*.f64 (*.f64 #s(literal -2 binary64) n) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) n)) (*.f64 (*.f64 #s(literal -2 binary64) n) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) n) (*.f64 #s(literal -2 binary64) n)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) n) (/.f64 #s(literal -1 binary64) n))) (*.f64 (*.f64 #s(literal -2 binary64) n) #s(literal -2 binary64)))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 n #s(literal 2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 n #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) n))) #s(literal -4 binary64))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 #s(literal -2 binary64) n)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) n)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) n)) #s(literal -2 binary64))
(pow.f64 n #s(literal -1 binary64))
(pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 n n) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 n)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64))
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64)))
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))

simplify231.0ms (0.6%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02401373
17451195
223761118
081061118
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(- 1 (exp (/ (log x) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
1
(+ 1 (/ x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(exp (* -1 (/ (log (/ 1 x)) n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
(exp (/ (log (+ 1 x)) n))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))
1
(+ 1 (/ (log (+ 1 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
Outputs
(- 1 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
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(-.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 #s(literal 1/6 binary64) (/.f64 (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)

eval60.0ms (0.1%)

Compiler

Compiled 12336 to 1191 computations (90.3% saved)

prune52.0ms (0.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New37614390
Fresh000
Picked101
Done000
Total37714391
Accuracy
99.8%
Counts
391 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.4%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
23.1%
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
▶69.8%
(/.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))
▶56.1%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
37.4%
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
45.9%
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
33.6%
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 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)
62.8%
(/.f64 (+.f64 (log1p.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 x))) n)
33.9%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶25.7%
(-.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)))
19.7%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶64.1%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶40.7%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
23.6%
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))
Compiler

Compiled 844 to 482 computations (42.9% saved)

simplify160.0ms (0.4%)

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
(log.f64 x)
✓cost-diff0
(log1p.f64 x)
✓cost-diff0
(-.f64 (log1p.f64 x) (log.f64 x))
✓cost-diff0
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓cost-diff128
(+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
✓cost-diff128
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))
✓cost-diff128
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) n)
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓cost-diff0
(log.f64 x)
✓cost-diff0
(-.f64 (log.f64 x) (log1p.f64 x))
✓cost-diff0
(-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n))
✓cost-diff128
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n))
Rules
2676×*-lowering-*.f32
2676×*-lowering-*.f64
2016×sum3-define
1426×+-lowering-+.f64
1426×+-lowering-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044364
1114344
2340344
31077342
44440342
08154342
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))
(- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))
(- (log x) (log (+ 1 x)))
(log x)
x
(log (+ 1 x))
(/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)
(- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3))))
(* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
1/2
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(pow (log (+ 1 x)) 2)
2
(pow (log x) 2)
(* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
(/ -1/6 n)
-1/6
n
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(pow (log (+ 1 x)) 3)
3
(pow (log x) 3)
(- 0 n)
0
(- 1 (pow x (/ 1 n)))
1
(pow x (/ 1 n))
x
(/ 1 n)
n
(- (+ 1 (* 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))
(/ (- (log (+ 1 x)) (log x)) n)
(- (log (+ 1 x)) (log x))
(log (+ 1 x))
x
(log x)
n
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(exp (/ (log (+ 1 x)) n))
(/ (log (+ 1 x)) n)
(log (+ 1 x))
x
n
(pow x (/ 1 n))
(/ 1 n)
1
Outputs
(/ (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))
(/.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/6 binary64)) n)) n) (-.f64 (log1p.f64 x) (log.f64 x))) n)
(- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))
(+.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) n))
(- (log x) (log (+ 1 x)))
(-.f64 (log.f64 x) (log1p.f64 x))
(log x)
(log.f64 x)
x
(log (+ 1 x))
(log1p.f64 x)
(/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/6 binary64)) n)) n)
(- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/6 binary64)) n))
(* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))
1/2
#s(literal 1/2 binary64)
(- (pow (log (+ 1 x)) 2) (pow (log x) 2))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(pow (log (+ 1 x)) 2)
(pow.f64 (log1p.f64 x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow (log x) 2)
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
(/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)
(/ -1/6 n)
(/.f64 #s(literal -1/6 binary64) n)
-1/6
#s(literal -1/6 binary64)
n
(- (pow (log (+ 1 x)) 3) (pow (log x) 3))
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))
(pow (log (+ 1 x)) 3)
(pow.f64 (log1p.f64 x) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(pow (log x) 3)
(pow.f64 (log.f64 x) #s(literal 3 binary64))
(- 0 n)
(-.f64 #s(literal 0 binary64) n)
0
#s(literal 0 binary64)
(- 1 (pow x (/ 1 n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
1
#s(literal 1 binary64)
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(- (+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))) (pow x (/ 1 n)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) (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 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))))
1
#s(literal 1 binary64)
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))))
x
(+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))
(+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))
(*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))
(+ (/ 1/2 (* n n)) (/ -1/2 n))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
(/ 1/2 (* n n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
1/2
#s(literal 1/2 binary64)
(* n n)
(*.f64 n n)
(/ -1/2 n)
(/.f64 #s(literal -1/2 binary64) n)
-1/2
#s(literal -1/2 binary64)
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(- (log (+ 1 x)) (log x))
(-.f64 (log1p.f64 x) (log.f64 x))
(log (+ 1 x))
(log1p.f64 x)
x
(log x)
(log.f64 x)
n
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/ (log (+ 1 x)) n)
(/.f64 (log1p.f64 x) n)
(log (+ 1 x))
(log1p.f64 x)
x
n
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
1
#s(literal 1 binary64)

localize1.1s (2.7%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log1p.f64 x)
✓accuracy100.0%
(/.f64 (log1p.f64 x) n)
✓accuracy100.0%
(exp.f64 (/.f64 (log1p.f64 x) n))
✓accuracy79.6%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy100.0%
(log1p.f64 x)
✓accuracy100.0%
(log.f64 x)
✓accuracy99.9%
(-.f64 (log1p.f64 x) (log.f64 x))
✓accuracy99.8%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓accuracy99.7%
(+.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))))
✓accuracy96.5%
(*.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)))))
✓accuracy94.1%
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
✓accuracy78.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy79.6%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
✓accuracy99.7%
(/.f64 #s(literal -1/6 binary64) n)
✓accuracy99.6%
(pow.f64 (log.f64 x) #s(literal 2 binary64))
✓accuracy99.4%
(pow.f64 (log.f64 x) #s(literal 3 binary64))
Results
782.0ms125×5exit
132.0ms55×2valid
109.0ms73×1valid
2.0ms3×0valid
Compiler

Compiled 394 to 44 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 719.0ms
ival-pow: 220.0ms (30.6% of total)
ival-log: 118.0ms (16.4% of total)
backward-pass: 109.0ms (15.2% of total)
ival-exp: 61.0ms (8.5% of total)
ival-div: 52.0ms (7.2% of total)
ival-sub: 45.0ms (6.3% of total)
ival-mult: 33.0ms (4.6% of total)
compiled-spec: 31.0ms (4.3% of total)
...c/correct-round.rkt:119:19: 31.0ms (4.3% of total)
ival-add: 16.0ms (2.2% of total)
const: 3.0ms (0.4% of total)

series150.0ms (0.4%)

Counts
22 → 432
Calls
Call 1
Inputs
#<alt (/ (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))>
#<alt (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))>
#<alt (- (log x) (log (+ 1 x)))>
#<alt (log x)>
#<alt (- 1 (pow x (/ 1 n)))>
#<alt (pow x (/ 1 n))>
#<alt (/ 1 n)>
#<alt (- (+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))) (pow x (/ 1 n)))>
#<alt (+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))))>
#<alt (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))>
#<alt (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (- (log (+ 1 x)) (log x))>
#<alt (log (+ 1 x))>
#<alt (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (/ (log (+ 1 x)) n)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 2)>
#<alt (/ -1/6 n)>
#<alt (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))>
#<alt (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))>
Outputs
#<alt (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n))>
#<alt (+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (/ x n))>
#<alt (+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))>
#<alt (+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))>
#<alt (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (* n x)))>
#<alt (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x))) x)>
#<alt (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) n)) (+ (* 1/3 (/ 1 n)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n)))) (pow x 2))) (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x)))) x)>
#<alt (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) n)) (+ (* 1/3 (/ 1 n)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n)))) (pow x 2))) (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (+ (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x)) (* -1 (/ (- (+ (* -1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/4 (/ 1 n))) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n))) (pow x 3)))))) x)>
#<alt (/ (- (+ 1 (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2)))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2)))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (+ (* -1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))) (* n x))) (/ 1/2 (* n x)))) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) (* n x)))) x))>
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#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3)))>
#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (pow n 3))>
#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 3))>
#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 3))>
#<alt (* -1 (/ (- (log x) (log (+ 1 x))) n))>
#<alt (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)>
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#<alt (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)>
#<alt (* -1 (/ (- (log x) (log (+ 1 x))) n))>
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#<alt (* -1 (/ (- (+ (log x) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x))) n))>
#<alt (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n)))>
#<alt (- (+ (log x) (+ (* -1 x) (* 1/6 (/ (pow (log x) 3) (pow n 2))))) (* -1/2 (/ (pow (log x) 2) n)))>
#<alt (- (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)))) (* -1/2 (/ (pow (log x) 2) n)))>
#<alt (- (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1)))) (* -1/2 (/ (pow (log x) 2) n)))>
#<alt (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) x)>
#<alt (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/2 (/ 1 x)))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))))) x)>
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#<alt (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (pow x 2))) (+ (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ (* -1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))))))) (+ 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)))))))) x)>
#<alt (* -1 (/ (- (+ 1 (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2)))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x))>
#<alt (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 1/2 (* -1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))))) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) x)) (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x))>
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#<alt (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2)))>
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#<alt (- (log x) (log (+ 1 x)))>
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#<alt (/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)>
#<alt (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))>
#<alt (/ x n)>
#<alt (* x (+ (* -1/2 (/ x n)) (/ 1 n)))>
#<alt (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* -1 (/ (log (/ 1 x)) n))>
#<alt (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x)))>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2))))>
#<alt (- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2)))))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)>
#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (+ (/ 1 (* n x)) (/ (log -1) n)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) (/ (log -1) n)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) (/ (log -1) n)))>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (pow (log x) 3)>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (* -1 (pow (log (/ 1 x)) 3))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)>
#<alt (pow (log x) 2)>
#<alt (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 (/ -1/6 n)>
#<alt (/ -1/6 n)>
#<alt (/ -1/6 n)>
#<alt (/ -1/6 n)>
#<alt (/ -1/6 n)>
#<alt (/ -1/6 n)>
#<alt (/ -1/6 n)>
#<alt (/ -1/6 n)>
#<alt (/ -1/6 n)>
#<alt (/ -1/6 n)>
#<alt (/ -1/6 n)>
#<alt (/ -1/6 n)>
#<alt (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))>
#<alt (* 1/6 (/ (pow (log x) 3) n))>
#<alt (+ (* -1/6 (/ (pow x 3) n)) (* 1/6 (/ (pow (log x) 3) n)))>
#<alt (+ (* 1/6 (/ (pow (log x) 3) n)) (* (pow x 3) (- (* 1/4 (/ x n)) (* 1/6 (/ 1 n)))))>
#<alt (+ (* 1/6 (/ (pow (log x) 3) n)) (* (pow x 3) (- (* x (+ (* -7/24 (/ x n)) (* 1/4 (/ 1 n)))) (* 1/6 (/ 1 n)))))>
#<alt (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (* n x)))>
#<alt (/ (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) x)) (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n))) x)>
#<alt (/ (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) x)) (+ (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) n)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) n)) (+ (* 2 (/ (log (/ 1 x)) n)) (/ 1 n)))) (pow x 2))) (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n)))) x)>
#<alt (/ (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) x)) (+ (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) n)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) n)) (+ (* 2 (/ (log (/ 1 x)) n)) (/ 1 n)))) (pow x 2))) (+ (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n)) (* -1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) n)) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) n)) (* -1/4 (/ (pow (log (/ 1 x)) 2) n))))) (/ 1 n)) (pow x 3)))))) x)>
#<alt (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* n x)))>
#<alt (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n)) (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))) x))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n)))) (* 1/6 (/ (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x))) x)) (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n)))))) (* 1/6 (/ (+ (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x))) x)) (* -1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x)) (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n))) x))>
#<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))>
Calls

108 calls:

TimeVariablePointExpression
41.0ms
n
@0
(/ (- (log (+ 1 x)) (log x)) n)
26.0ms
x
@0
(log x)
11.0ms
n
@inf
(/ (- (log (+ 1 x)) (log x)) n)
11.0ms
x
@-inf
(log x)
9.0ms
x
@inf
(/ (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))

rewrite285.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
3422×*-lowering-*.f32
3422×*-lowering-*.f64
2666×fma-lowering-fma.f32
2666×fma-lowering-fma.f64
1750×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044220
1358209
23915208
08821208
Stop Event
1×iter limit
1×node limit
Counts
22 → 554
Calls
Call 1
Inputs
(/ (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))
(- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))
(- (log x) (log (+ 1 x)))
(log x)
(- 1 (pow x (/ 1 n)))
(pow x (/ 1 n))
(/ 1 n)
(- (+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))) (pow x (/ 1 n)))
(+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))))
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))
(+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))
(/ (- (log (+ 1 x)) (log x)) n)
(- (log (+ 1 x)) (log x))
(log (+ 1 x))
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n)))
(exp (/ (log (+ 1 x)) n))
(/ (log (+ 1 x)) n)
(pow (log x) 3)
(pow (log x) 2)
(/ -1/6 n)
(* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))
(* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))
Outputs
(+.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 n n))))
(-.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) (/.f64 (+.f64 (log1p.f64 x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
(fma.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
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(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 x))) #s(literal 3 binary64))
(*.f64 (log.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 x))
(*.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (pow.f64 (log.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (exp.f64 (log.f64 (log.f64 x))) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (log.f64 (log.f64 x))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal 3/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (log.f64 x)))) #s(literal 2 binary64)))
(pow.f64 (log.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (log.f64 x))) #s(literal 2 binary64))
(*.f64 (log.f64 x) (log.f64 x))
(*.f64 (exp.f64 (log.f64 (log.f64 x))) (exp.f64 (log.f64 (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (exp.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 (log.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 n #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/6 binary64) n))
(/.f64 #s(literal 1 binary64) (/.f64 n #s(literal -1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1/6 binary64) n)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n #s(literal -1/6 binary64))))
(/.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) n))
(pow.f64 (/.f64 n #s(literal -1/6 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) n))
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(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1/6 binary64))
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(*.f64 (/.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n n))
(*.f64 (/.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
(+.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) n) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(+.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1/6 binary64) n)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) n)))
(fma.f64 (/.f64 #s(literal -1/6 binary64) n) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 n (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal -1/6 binary64)))
(/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64)))) (*.f64 (/.f64 n #s(literal -1/6 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 3 binary64)))))
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(/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (*.f64 n (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (*.f64 (-.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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 3 binary64))) (/.f64 n #s(literal -1/6 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) #s(literal -1/6 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 3 binary64))) n))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) #s(literal 1/6 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) n)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal -1/6 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal -1/6 binary64)) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1/6 binary64)) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) n)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 n #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64)))) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 3 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 n #s(literal -1/6 binary64)))
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (/.f64 #s(literal -1/6 binary64) n)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (/.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))))
(pow.f64 (/.f64 n (*.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))))) #s(literal -1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(*.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))
(*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) n))
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal -1/6 binary64) n)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) n))
(*.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) n) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(+.f64 (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64))) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))
(+.f64 (/.f64 x (/.f64 n #s(literal -1/2 binary64))) (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))
(fma.f64 x (/.f64 #s(literal -1/2 binary64) n) (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) x) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) x (/.f64 x (/.f64 n #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) n) x (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 n n)) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n) (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n))))) (+.f64 (*.f64 (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64))) (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (/.f64 x (/.f64 n #s(literal -1/2 binary64))) (/.f64 x (/.f64 n #s(literal -1/2 binary64)))) (*.f64 (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64))) (/.f64 x (/.f64 n #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64))) (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64)))) (*.f64 (/.f64 x (/.f64 n #s(literal -1/2 binary64))) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))) (-.f64 (/.f64 x (/.f64 (*.f64 n n) #s(literal 1/2 binary64))) (/.f64 x (/.f64 n #s(literal -1/2 binary64)))))
(/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) n) (*.f64 n (*.f64 n #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n)))
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(/.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) (*.f64 n n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n n)))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) n) (*.f64 n (*.f64 n #s(literal -1/2 binary64)))) x) (*.f64 n (*.f64 n n)))
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(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 n n) (*.f64 n n))) (/.f64 #s(literal 1/4 binary64) (*.f64 n n))) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x)

simplify302.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
4230×*-lowering-*.f32
4230×*-lowering-*.f64
4002×+-lowering-+.f64
4002×+-lowering-+.f32
1788×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010789023
137577992
085377992
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
(* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n))
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (/ x n))
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))
(* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (* n x)))
(/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x))) x)
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(* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (* n x)))
(/ (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) x)) (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n))) x)
(/ (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) x)) (+ (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) n)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) n)) (+ (* 2 (/ (log (/ 1 x)) n)) (/ 1 n)))) (pow x 2))) (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n)))) x)
(/ (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) x)) (+ (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) n)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) n)) (+ (* 2 (/ (log (/ 1 x)) n)) (/ 1 n)))) (pow x 2))) (+ (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n)) (* -1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) n)) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) n)) (* -1/4 (/ (pow (log (/ 1 x)) 2) n))))) (/ 1 n)) (pow x 3)))))) x)
(* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* n x)))
(* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n)) (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))) x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n)))) (* 1/6 (/ (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x))) x)) (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n))) x))
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(* 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))
Outputs
(* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n))
(/.f64 (+.f64 (log.f64 x) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))) (neg.f64 n))
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(-.f64 (/.f64 x n) (/.f64 (+.f64 (log.f64 x) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))) n))
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))
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(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))
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(/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) n)) (+ (* 1/3 (/ 1 n)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n)))) (pow x 2))) (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x)))) x)
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(/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) n)) (+ (* 1/3 (/ 1 n)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n)))) (pow x 2))) (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (+ (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x)) (* -1 (/ (- (+ (* -1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/4 (/ 1 n))) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n))) (pow x 3)))))) x)
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(/ (- (+ 1 (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2)))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) #s(literal -3 binary64))) (*.f64 n n)) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) (*.f64 x n))
(* -1 (/ (- (+ (* -1 (/ (- (+ 1 (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2)))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (+ (* -1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))) (* n x))) (/ 1/2 (* n x)))) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) (* n x)))) x))
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(/.f64 (*.f64 x #s(literal -1/2 binary64)) n)
(* -1 (/ (+ (* -1/2 (/ x n)) (* 1/2 x)) n))
(/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) n)) (neg.f64 n))
(* -1 (/ (+ (* -1/2 (/ x n)) (* 1/2 x)) n))
(/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) n)) (neg.f64 n))
(* -1 (/ (+ (* -1/2 (/ x n)) (* 1/2 x)) n))
(/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) n)) (neg.f64 n))

eval162.0ms (0.4%)

Compiler

Compiled 46079 to 4033 computations (91.2% saved)

prune151.0ms (0.4%)

Pruning

43 alts after pruning (42 fresh and 1 done)

PrunedKeptTotal
New1326401366
Fresh729
Picked415
Done000
Total1337431380
Accuracy
100.0%
Counts
1380 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.3%
(fma.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
27.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
27.6%
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
45.7%
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
45.7%
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
▶63.4%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
40.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
33.0%
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
45.9%
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
26.4%
(/.f64 (-.f64 x (log.f64 x)) n)
▶23.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
37.4%
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
27.6%
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
39.9%
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
37.3%
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x))) x)
27.6%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
33.9%
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
▶5.1%
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
56.3%
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
38.0%
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
8.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
56.2%
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
56.2%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
51.7%
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n))))
56.1%
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
39.6%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
37.3%
(-.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 n n))))
▶33.9%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
28.5%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
16.5%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) n) (*.f64 n (*.f64 n #s(literal -1/2 binary64)))) x) (*.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 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
29.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
33.0%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
57.2%
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓40.7%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶33.5%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
22.6%
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n n))
36.1%
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
56.1%
(*.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)))
56.2%
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
5.0%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
5.3%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
22.0%
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)))
Compiler

Compiled 1667 to 1050 computations (37% saved)

simplify130.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))
✓cost-diff128
(pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))
✓cost-diff128
(-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))
✓cost-diff128
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(/.f64 x n)
✓cost-diff0
(+.f64 (/.f64 x n) #s(literal 1 binary64))
✓cost-diff0
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓cost-diff256
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
✓cost-diff256
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
✓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 #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))
Rules
2578×*-lowering-*.f32
2578×*-lowering-*.f64
1676×sum5-define
1644×+-lowering-+.f64
1644×+-lowering-+.f32
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
032167
174163
2165163
3357160
4613156
5977156
61578155
74181155
08476155
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ 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 1)
1
(/ (+ (* 1/2 (* x x)) (* (* x n) (+ 1 (* x -1/2)))) (* n n))
(+ (* 1/2 (* x x)) (* (* x n) (+ 1 (* x -1/2))))
(* 1/2 (* x x))
1/2
(* x x)
x
(* (* x n) (+ 1 (* x -1/2)))
(* x n)
n
(+ 1 (* x -1/2))
1
(* x -1/2)
-1/2
(* n n)
(- (+ (/ x n) 1) (pow x (/ 1 n)))
(+ (/ x n) 1)
(/ x n)
x
n
1
(pow x (/ 1 n))
(/ 1 n)
(/ (- 1 (pow x (* 2 (/ 1 n)))) (+ 1 (pow x (/ 1 n))))
(- 1 (pow x (* 2 (/ 1 n))))
1
(pow x (* 2 (/ 1 n)))
x
(* 2 (/ 1 n))
2
(/ 1 n)
n
(+ 1 (pow x (/ 1 n)))
(pow x (/ 1 n))
Outputs
(/ (/ 1 (pow x (/ -1 n))) (* x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n))))
(/ 1 (pow x (/ -1 n)))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
1
#s(literal 1 binary64)
(pow x (/ -1 n))
(pow.f64 x (/.f64 #s(literal -1 binary64) n))
x
(/ -1 n)
(/.f64 #s(literal -1 binary64) n)
-1
#s(literal -1 binary64)
n
(* x n)
(*.f64 x n)
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(/ (+ (* 1/2 (* x x)) (* (* x n) (+ 1 (* x -1/2)))) (* n n))
(*.f64 (/.f64 x n) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x n)))))
(+ (* 1/2 (* x x)) (* (* x n) (+ 1 (* x -1/2))))
(*.f64 x (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64))))))
(* 1/2 (* x x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* x x)
(*.f64 x x)
x
(* (* x n) (+ 1 (* x -1/2)))
(*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x n)
(*.f64 x n)
n
(+ 1 (* x -1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* n n)
(*.f64 n n)
(- (+ (/ x n) 1) (pow x (/ 1 n)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+ (/ x n) 1)
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(/ x n)
(/.f64 x n)
x
n
1
#s(literal 1 binary64)
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (- 1 (pow x (* 2 (/ 1 n)))) (+ 1 (pow x (/ 1 n))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(- 1 (pow x (* 2 (/ 1 n))))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))
1
#s(literal 1 binary64)
(pow x (* 2 (/ 1 n)))
(pow.f64 x (/.f64 #s(literal 2 binary64) n))
x
(* 2 (/ 1 n))
(/.f64 #s(literal 2 binary64) n)
2
#s(literal 2 binary64)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
n
(+ 1 (pow x (/ 1 n)))
(+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow x (/ 1 n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))

localize241.0ms (0.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy99.2%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
✓accuracy54.3%
(-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))))
✓accuracy100.0%
(/.f64 x n)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(+.f64 (/.f64 x n) #s(literal 1 binary64))
✓accuracy64.7%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓accuracy99.9%
(*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
✓accuracy94.1%
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
✓accuracy77.1%
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 x n)
✓accuracy100.0%
(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)))
✓accuracy94.0%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
Results
126.0ms118×1valid
43.0ms88×0valid
20.0ms42×0unsamplable
11.0ms8×2valid
Compiler

Compiled 197 to 32 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-pow: 35.0ms (37.5% of total)
ival-div: 18.0ms (19.3% of total)
ival-mult: 16.0ms (17.1% of total)
backward-pass: 11.0ms (11.8% of total)
ival-add: 7.0ms (7.5% of total)
ival-sub: 5.0ms (5.4% of total)
const: 1.0ms (1.1% of total)

series32.0ms (0.1%)

Counts
21 → 420
Calls
Call 1
Inputs
#<alt (/ (/ 1 (pow x (/ -1 n))) (* x n))>
#<alt (/ 1 (pow x (/ -1 n)))>
#<alt (pow x (/ -1 n))>
#<alt (/ -1 n)>
#<alt (- 1 1)>
#<alt (/ (+ (* 1/2 (* x x)) (* (* x n) (+ 1 (* x -1/2)))) (* n n))>
#<alt (+ (* 1/2 (* x x)) (* (* x n) (+ 1 (* x -1/2))))>
#<alt (* 1/2 (* x x))>
#<alt (* x x)>
#<alt (- (+ (/ x n) 1) (pow x (/ 1 n)))>
#<alt (+ (/ x n) 1)>
#<alt (/ x n)>
#<alt (pow x (/ 1 n))>
#<alt (/ (- 1 (pow x (* 2 (/ 1 n)))) (+ 1 (pow x (/ 1 n))))>
#<alt (- 1 (pow x (* 2 (/ 1 n))))>
#<alt (pow x (* 2 (/ 1 n)))>
#<alt (* 2 (/ 1 n))>
#<alt (* x n)>
#<alt (* (* x n) (+ 1 (* x -1/2)))>
#<alt (/ 1 n)>
#<alt (+ 1 (pow x (/ 1 n)))>
Outputs
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))>
#<alt (/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))>
#<alt (/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))>
#<alt (/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))>
#<alt (/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))>
#<alt (/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))>
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#<alt (exp (* -2 (/ (log (/ 1 x)) n)))>
#<alt (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt (exp (* 2 (/ (log x) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (log x) n)))>
#<alt (+ 1 (+ (* 2 (/ (log x) n)) (* 2 (/ (pow (log x) 2) (pow n 2)))))>
#<alt (+ 1 (+ (* 4/3 (/ (pow (log x) 3) (pow n 3))) (+ (* 2 (/ (log x) n)) (* 2 (/ (pow (log x) 2) (pow n 2))))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (log x) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 (log x)) (* -2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 (log x)) (* -1 (/ (+ (* 4/3 (/ (pow (log x) 3) n)) (* 2 (pow (log x) 2))) n))) n)))>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<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 (* n x)>
#<alt (* x (+ n (* -1/2 (* n x))))>
#<alt (* x (+ n (* -1/2 (* n x))))>
#<alt (* x (+ n (* -1/2 (* n x))))>
#<alt (* -1/2 (* n (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/2 n) (/ n x)))>
#<alt (* (pow x 2) (+ (* -1/2 n) (/ n x)))>
#<alt (* (pow x 2) (+ (* -1/2 n) (/ n x)))>
#<alt (* -1/2 (* n (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/2 n) (/ n x)))>
#<alt (* (pow x 2) (+ (* -1/2 n) (/ n x)))>
#<alt (* (pow x 2) (+ (* -1/2 n) (/ n x)))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (* n (* x (+ 1 (* -1/2 x))))>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt (+ 1 (exp (/ (log x) n)))>
#<alt 2>
#<alt (+ 2 (/ (log x) n))>
#<alt (+ 2 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))>
#<alt (+ 2 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))>
#<alt 2>
#<alt (+ 2 (/ (log x) n))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))>
Calls

105 calls:

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

rewrite259.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
3588×*-lowering-*.f32
3588×*-lowering-*.f64
2334×fma-lowering-fma.f32
2334×fma-lowering-fma.f64
1902×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032133
1203116
21804116
08481116
Stop Event
1×iter limit
1×node limit
Counts
21 → 585
Calls
Call 1
Inputs
(/ (/ 1 (pow x (/ -1 n))) (* x n))
(/ 1 (pow x (/ -1 n)))
(pow x (/ -1 n))
(/ -1 n)
(- 1 1)
(/ (+ (* 1/2 (* x x)) (* (* x n) (+ 1 (* x -1/2)))) (* n n))
(+ (* 1/2 (* x x)) (* (* x n) (+ 1 (* x -1/2))))
(* 1/2 (* x x))
(* x x)
(- (+ (/ x n) 1) (pow x (/ 1 n)))
(+ (/ x n) 1)
(/ x n)
(pow x (/ 1 n))
(/ (- 1 (pow x (* 2 (/ 1 n)))) (+ 1 (pow x (/ 1 n))))
(- 1 (pow x (* 2 (/ 1 n))))
(pow x (* 2 (/ 1 n)))
(* 2 (/ 1 n))
(* x n)
(* (* x n) (+ 1 (* x -1/2)))
(/ 1 n)
(+ 1 (pow x (/ 1 n)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (*.f64 x n))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x n) (-.f64 #s(literal 0 binary64) (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 #s(literal 1 binary64) n)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x n))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 x n)))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(pow.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 n (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (pow.f64 x (/.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 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x n))))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 n (pow.f64 x (/.f64 #s(literal -1 binary64) n))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x n) (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 x n) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(exp.f64 (/.f64 (log.f64 x) n))
(exp.f64 (*.f64 (log.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))
(/.f64 #s(literal 1 binary64) (neg.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) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1/2 binary64))) (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64))))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)))
(pow.f64 x (+.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 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)) #s(literal 2 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 (neg.f64 (+.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 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))
(pow.f64 (*.f64 x x) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 (*.f64 x x) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64))))
(pow.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64))) #s(literal -2 binary64))
(pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) (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 -1/2 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))))
(exp.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)))
(exp.f64 (*.f64 (log.f64 x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64))) (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) #s(literal -1 binary64))
(pow.f64 x (/.f64 #s(literal -1 binary64) n))
(pow.f64 x (+.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 2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64))))
(pow.f64 x (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 x (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64))))
(pow.f64 x (neg.f64 (+.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 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))
(pow.f64 (*.f64 x x) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))))
(pow.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) n)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (/.f64 #s(literal -1 binary64) n)) (log.f64 x))
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(/.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (-.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
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(*.f64 n (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
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(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x n))
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(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x) n)
(exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) n))
(neg.f64 (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 n #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) n))
(/.f64 #s(literal -1 binary64) (/.f64 n #s(literal -1 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) n))
(/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) n)) #s(literal -2 binary64))
(pow.f64 n #s(literal -1 binary64))
(pow.f64 (*.f64 n n) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) n)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 n #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64))
(pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 n)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64))
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(fma.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1/2 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
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(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) (-.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)))
(/.f64 (-.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))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
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(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))

simplify235.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
2612×*-lowering-*.f32
2612×*-lowering-*.f64
2418×+-lowering-+.f64
2418×+-lowering-+.f32
1826×fnmadd-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04774299
116353819
254553739
080113739
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/ 1 (* n x))
(/ (+ (/ 1 x) (/ (log x) (* n x))) n)
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) (pow n 2))) (/ 1 x)) (* -1 (/ (log x) (* n x)))) n)
(/ (- (+ (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) x)) (+ (* 1/2 (/ (pow (log x) 3) x)) (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))))) (pow n 3))) (/ 1 x)) (+ (* -1 (/ (log x) (* n x))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) x))) (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x)))))) n)
(/ 1 (* n x))
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))))) (+ (* -1/2 (/ (pow (log x) 3) x)) (* 1/6 (/ (pow (log x) 3) x)))) n)) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
(/ 1 (exp (* -1 (/ (log x) n))))
(/ 1 (exp (* -1 (/ (log x) n))))
(/ 1 (exp (* -1 (/ (log x) n))))
(/ 1 (exp (* -1 (/ (log x) n))))
(/ 1 (exp (/ (log (/ 1 x)) n)))
(/ 1 (exp (/ (log (/ 1 x)) n)))
(/ 1 (exp (/ (log (/ 1 x)) n)))
(/ 1 (exp (/ (log (/ 1 x)) n)))
(/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
(/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
(/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
(/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
(/ 1 (exp (* -1 (/ (log x) n))))
(/ 1 (exp (* -1 (/ (log x) n))))
(/ 1 (exp (* -1 (/ (log x) n))))
(/ 1 (exp (* -1 (/ (log x) n))))
1
(+ 1 (/ (log x) n))
(- (+ 1 (* -1 (/ (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))) (pow n 2)))) (* -1 (/ (log x) n)))
(- (+ 1 (* -1 (/ (+ (* -1/6 (pow (log x) 3)) (+ (* 1/2 (pow (log x) 3)) (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))))) (pow n 3)))) (+ (* -1 (/ (log x) n)) (+ (* -1 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (pow (log x) 2) (pow n 2))))))
1
(+ 1 (/ (log x) n))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow (log x) 2) n))) (log x)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n)) (+ (* -1/2 (/ (pow (log x) 3) n)) (* 1/6 (/ (pow (log x) 3) n)))) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n)) (log x)) n)))
(exp (* -1 (/ (log x) n)))
(exp (* -1 (/ (log x) n)))
(exp (* -1 (/ (log x) n)))
(exp (* -1 (/ (log x) n)))
(exp (/ (log (/ 1 x)) n))
(exp (/ (log (/ 1 x)) n))
(exp (/ (log (/ 1 x)) n))
(exp (/ (log (/ 1 x)) n))
(exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* -1 (/ (log x) n)))
(exp (* -1 (/ (log x) n)))
(exp (* -1 (/ (log x) n)))
(exp (* -1 (/ (log x) n)))
1
(+ 1 (* -1 (/ (log x) n)))
(+ 1 (+ (* -1 (/ (log x) n)) (* 1/2 (/ (pow (log x) 2) (pow n 2)))))
(+ 1 (+ (* -1 (/ (log x) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (* 1/2 (/ (pow (log x) 2) (pow n 2))))))
1
(+ 1 (* -1 (/ (log x) n)))
(+ 1 (* -1 (/ (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 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)
(/ x n)
(* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(/ (* (pow x 2) (+ 1/2 (* -1/2 n))) (pow n 2))
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))
(/ (* (pow x 2) (+ 1/2 (* -1/2 n))) (pow n 2))
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))
(* 1/2 (/ (pow x 2) (pow n 2)))
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))
(/ (* x (+ 1 (* -1/2 x))) n)
(/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)
(/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)
(/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)
(/ (* x (+ 1 (* -1/2 x))) n)
(* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))
(* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))
(* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))
(* n x)
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(* 1/2 (pow x 2))
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(* 1/2 (pow x 2))
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1
(+ 1 (/ x n))
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(* x (+ (/ 1 n) (/ 1 x)))
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(/ (+ n x) n)
(/ (+ n x) n)
(/ (+ n x) n)
1
(+ 1 (/ x n))
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(+ 1 (/ x n))
1
(+ 1 (/ x n))
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(/ x n)
(/ x n)
(/ x n)
(/ x n)
(/ x n)
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(/ x n)
(/ x n)
(/ x n)
(/ x 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)))
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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 (exp (* 2 (/ (log x) n)))) (+ 1 (exp (/ (log x) n))))
(/ (- 1 (exp (* 2 (/ (log x) n)))) (+ 1 (exp (/ (log x) n))))
(/ (- 1 (exp (* 2 (/ (log x) n)))) (+ 1 (exp (/ (log x) n))))
(/ (- 1 (exp (* 2 (/ (log x) n)))) (+ 1 (exp (/ (log x) n))))
(/ (- 1 (exp (* -2 (/ (log (/ 1 x)) n)))) (+ 1 (exp (* -1 (/ (log (/ 1 x)) n)))))
(/ (- 1 (exp (* -2 (/ (log (/ 1 x)) n)))) (+ 1 (exp (* -1 (/ (log (/ 1 x)) n)))))
(/ (- 1 (exp (* -2 (/ (log (/ 1 x)) n)))) (+ 1 (exp (* -1 (/ (log (/ 1 x)) n)))))
(/ (- 1 (exp (* -2 (/ (log (/ 1 x)) n)))) (+ 1 (exp (* -1 (/ (log (/ 1 x)) n)))))
(/ (- 1 (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) (+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
(/ (- 1 (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) (+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
(/ (- 1 (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) (+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
(/ (- 1 (exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) (+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))
(/ (- 1 (exp (* 2 (/ (log x) n)))) (+ 1 (exp (/ (log x) n))))
(/ (- 1 (exp (* 2 (/ (log x) n)))) (+ 1 (exp (/ (log x) n))))
(/ (- 1 (exp (* 2 (/ (log x) n)))) (+ 1 (exp (/ (log x) n))))
(/ (- 1 (exp (* 2 (/ (log x) n)))) (+ 1 (exp (/ (log x) n))))
(* -1 (/ (log x) n))
(/ (- (+ (* -1 (log x)) (* -1 (/ (pow (log x) 2) n))) (* -1/2 (/ (pow (log x) 2) n))) n)
(/ (- (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (* -2/3 (/ (pow (log x) 3) (pow n 2))))) (+ (* -1/2 (/ (pow (log x) 2) n)) (+ (* -1/4 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (* (log x) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2)))) (pow n 2)))))) n)
(/ (- (+ (* -1 (log x)) (+ (* -1 (/ (pow (log x) 2) n)) (+ (* -2/3 (/ (pow (log x) 3) (pow n 2))) (* -1/3 (/ (pow (log x) 4) (pow n 3)))))) (+ (* -1/2 (/ (pow (log x) 2) n)) (+ (* -1/4 (/ (pow (log x) 3) (pow n 2))) (+ (* -1/12 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/4 (/ (* (pow (log x) 2) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2)))) (pow n 3))) (+ (* 1/2 (/ (* (log x) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2)))) (pow n 2))) (* 1/2 (/ (* (log x) (- (* -2/3 (pow (log x) 3)) (+ (* -1/4 (pow (log x) 3)) (* 1/2 (* (log x) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2)))))))) (pow n 3))))))))) n)
(* -1 (/ (log x) n))
(* -1 (/ (+ (log x) (* -1 (/ (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2))) n))) n))
(* -1 (/ (+ (log x) (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow (log x) 3)) (+ (* -1/2 (* (log x) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2))))) (* 1/4 (pow (log x) 3)))) n)) (* -1 (pow (log x) 2))) (* -1/2 (pow (log x) 2))) n))) n))
(* -1 (/ (+ (log x) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/3 (pow (log x) 4)) (+ (* -1/2 (* (log x) (- (* 2/3 (pow (log x) 3)) (+ (* -1/2 (* (log x) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2))))) (* 1/4 (pow (log x) 3)))))) (+ (* -1/12 (pow (log x) 4)) (* 1/4 (* (pow (log x) 2) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2)))))))) n)) (* 2/3 (pow (log x) 3))) (+ (* -1/2 (* (log x) (- (* -1 (pow (log x) 2)) (* -1/2 (pow (log x) 2))))) (* 1/4 (pow (log x) 3)))) n)) (* -1 (pow (log x) 2))) (* -1/2 (pow (log x) 2))) n))) n))
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(- 1 (exp (* 2 (/ (log x) n))))
(- 1 (exp (* 2 (/ (log x) n))))
(- 1 (exp (* 2 (/ (log x) n))))
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(/ (- (* -4/3 (/ (pow (log x) 3) (pow n 2))) (+ (* 2 (log x)) (* 2 (/ (pow (log x) 2) n)))) n)
(/ (- (* -2/3 (/ (pow (log x) 4) (pow n 3))) (+ (* 4/3 (/ (pow (log x) 3) (pow n 2))) (+ (* 2 (log x)) (* 2 (/ (pow (log x) 2) n))))) n)
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(* -1 (/ (- (* 2 (/ (pow (log x) 2) n)) (* -2 (log x))) n))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow (log x) 4) n)) (* -4/3 (pow (log x) 3))) n)) (* 2 (pow (log x) 2))) n)) (* -2 (log x))) n))
(exp (* 2 (/ (log x) n)))
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(exp (* 2 (/ (log x) n)))
(exp (* 2 (/ (log x) n)))
(exp (* -2 (/ (log (/ 1 x)) n)))
(exp (* -2 (/ (log (/ 1 x)) n)))
(exp (* -2 (/ (log (/ 1 x)) n)))
(exp (* -2 (/ (log (/ 1 x)) n)))
(exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(exp (* 2 (/ (log x) n)))
(exp (* 2 (/ (log x) n)))
(exp (* 2 (/ (log x) n)))
(exp (* 2 (/ (log x) n)))
1
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1
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(/ 2 n)
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(* (pow x 2) (+ (* -1/2 n) (/ n x)))
(* (pow x 2) (+ (* -1/2 n) (/ n x)))
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(* n (* x (+ 1 (* -1/2 x))))
(/ 1 n)
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(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
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(/ 1 n)
(/ 1 n)
(/ 1 n)
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(/ 1 n)
(+ 1 (exp (/ (log x) n)))
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(+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))
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(+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(+ 1 (exp (/ (log x) n)))
(+ 1 (exp (/ (log x) n)))
(+ 1 (exp (/ (log x) n)))
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2
(+ 2 (/ (log x) n))
(+ 2 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+ 2 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
2
(+ 2 (/ (log x) n))
(+ 2 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+ 2 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
Outputs
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n)
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
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(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
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(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n)
(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n)
(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
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(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n)))))
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(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))))
(/ 1 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))))
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(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))))
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
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(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
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(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n)
(/ 1 (* n (* x (exp (* -1 (/ (log x) n))))))
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(/ 1 (* n x))
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(/ (+ (/ 1 x) (/ (log x) (* n x))) n)
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(/ (- (+ (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) x)) (+ (* 1/2 (/ (pow (log x) 3) x)) (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))))) (pow n 3))) (/ 1 x)) (+ (* -1 (/ (log x) (* n x))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) x))) (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x)))))) n)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64)) x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) #s(literal 1/3 binary64))) (*.f64 n (*.f64 n n)))) (-.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 n (*.f64 n x))) (/.f64 (/.f64 (log.f64 x) n) x))) n)
(/ 1 (* n x))
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(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) n)) (/ (log x) x)) n)) (/ 1 x)) n))
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(/.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 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(+ 1 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(+ 1 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(+ 1 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(+ 1 (exp (* -1 (/ (log (/ 1 x)) n))))
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(+ 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(+ 1 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(+ 1 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(+ 1 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
(+ 1 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))
2
#s(literal 2 binary64)
(+ 2 (/ (log x) n))
(+.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))
(+ 2 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n))) n))
(+ 2 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n))) n) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) (*.f64 n (*.f64 n n)))))
2
#s(literal 2 binary64)
(+ 2 (/ (log x) n))
(+.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))
(+ 2 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n))) n))
(+ 2 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (/.f64 (+.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) n)) n)) n))

eval116.0ms (0.3%)

Compiler

Compiled 25628 to 2377 computations (90.7% saved)

prune130.0ms (0.3%)

Pruning

49 alts after pruning (47 fresh and 2 done)

PrunedKeptTotal
New1156191175
Fresh92837
Picked415
Done011
Total1169491218
Accuracy
100.0%
Counts
1218 → 49
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶64.4%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
27.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
27.6%
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
30.2%
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -4/3 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) n) (*.f64 (log.f64 x) #s(literal -2 binary64))) n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
45.7%
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
▶45.7%
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
24.9%
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
40.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
33.0%
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
17.2%
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 n n))) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
2.9%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (*.f64 (*.f64 n n) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
45.9%
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
5.4%
(/.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n))
26.4%
(/.f64 (-.f64 x (log.f64 x)) n)
23.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
33.8%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))
27.6%
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
39.9%
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
27.6%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
33.9%
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
▶1.4%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
5.5%
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n x)) (*.f64 n n))
56.3%
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
5.1%
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n)) (*.f64 n n))
4.3%
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 n x)))) (*.f64 n n))
38.0%
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
5.2%
(/.f64 (*.f64 x (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64)))))) (*.f64 n n))
5.3%
(/.f64 (*.f64 n x) (*.f64 n n))
8.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
56.2%
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
56.2%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
4.5%
(/.f64 x n)
56.1%
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
39.6%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
19.0%
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n (*.f64 n n)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x n) #s(literal -1 binary64)) (/.f64 n x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓33.9%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
9.1%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
28.5%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) 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 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
29.4%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶57.2%
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓40.7%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
22.6%
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n n))
36.1%
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
56.1%
(*.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)))
56.2%
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
5.3%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
22.0%
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)))
▶33.5%
#s(literal 0 binary64)
Compiler

Compiled 1864 to 1118 computations (40% saved)

simplify192.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(/.f64 x n)
✓cost-diff0
(exp.f64 (/.f64 x n))
✓cost-diff0
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓cost-diff384
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
✓cost-diff384
(*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
✓cost-diff384
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
✓cost-diff768
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
✓cost-diff0
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))
✓cost-diff0
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x)
✓cost-diff0
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
✓cost-diff0
(/.f64 #s(literal 1 binary64) n)
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
✓cost-diff0
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
Rules
3954×*-lowering-*.f32
3954×*-lowering-*.f64
3864×+-lowering-+.f64
3864×+-lowering-+.f32
1266×associate-*r*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
044396
1142336
2581336
33490322
47269317
08111317
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (pow x (/ 1 n)) n) x)
(/ (pow x (/ 1 n)) n)
(pow x (/ 1 n))
x
(/ 1 n)
1
n
0
(/ (/ (+ (+ 1 (/ 1/3 (* x x))) (/ -1/2 x)) x) n)
(/ (+ (+ 1 (/ 1/3 (* x x))) (/ -1/2 x)) x)
(+ (+ 1 (/ 1/3 (* x x))) (/ -1/2 x))
(+ 1 (/ 1/3 (* x x)))
1
(/ 1/3 (* x x))
1/3
(* x x)
x
(/ -1/2 x)
-1/2
n
(/ (+ (* (* x (* x x)) (* (* x (* x x)) 1/8)) (* (* (* x n) (+ 1 (* x -1/2))) (* (* x x) (* (* n (+ 1 (* x -1/2))) (* n (+ 1 (* x -1/2))))))) (* (* n n) (+ (* (* (* x x) (* x x)) 1/4) (* (* (* x n) (+ 1 (* x -1/2))) (- (* (* x n) (+ 1 (* x -1/2))) (* 1/2 (* x x)))))))
(+ (* (* x (* x x)) (* (* x (* x x)) 1/8)) (* (* (* x n) (+ 1 (* x -1/2))) (* (* x x) (* (* n (+ 1 (* x -1/2))) (* n (+ 1 (* x -1/2)))))))
(* (* x (* x x)) (* (* x (* x x)) 1/8))
(* x (* x x))
x
(* x x)
(* (* x (* x x)) 1/8)
1/8
(* (* (* x n) (+ 1 (* x -1/2))) (* (* x x) (* (* n (+ 1 (* x -1/2))) (* n (+ 1 (* x -1/2))))))
(* (* x n) (+ 1 (* x -1/2)))
(* x n)
n
(+ 1 (* x -1/2))
1
(* x -1/2)
-1/2
(* (* x x) (* (* n (+ 1 (* x -1/2))) (* n (+ 1 (* x -1/2)))))
(* (* n (+ 1 (* x -1/2))) (* n (+ 1 (* x -1/2))))
(* n (+ 1 (* x -1/2)))
(* (* n n) (+ (* (* (* x x) (* x x)) 1/4) (* (* (* x n) (+ 1 (* x -1/2))) (- (* (* x n) (+ 1 (* x -1/2))) (* 1/2 (* x x))))))
(* n n)
(+ (* (* (* x x) (* x x)) 1/4) (* (* (* x n) (+ 1 (* x -1/2))) (- (* (* x n) (+ 1 (* x -1/2))) (* 1/2 (* x x)))))
(* (* (* x x) (* x x)) 1/4)
(* (* x x) (* x x))
1/4
(* (* (* x n) (+ 1 (* x -1/2))) (- (* (* x n) (+ 1 (* x -1/2))) (* 1/2 (* x x))))
(- (* (* x n) (+ 1 (* x -1/2))) (* 1/2 (* x x)))
(* 1/2 (* x x))
1/2
(- (exp (/ x n)) (pow x (/ 1 n)))
(exp (/ x n))
(/ x n)
x
n
(pow x (/ 1 n))
(/ 1 n)
1
Outputs
(/ (/ (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
0
#s(literal 0 binary64)
(/ (/ (+ (+ 1 (/ 1/3 (* x x))) (/ -1/2 x)) x) n)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 x n))
(/ (+ (+ 1 (/ 1/3 (* x x))) (/ -1/2 x)) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x)
(+ (+ 1 (/ 1/3 (* x x))) (/ -1/2 x))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))
(+ 1 (/ 1/3 (* x x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(/ 1/3 (* x x))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
1/3
#s(literal 1/3 binary64)
(* x x)
(*.f64 x x)
x
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
n
(/ (+ (* (* x (* x x)) (* (* x (* x x)) 1/8)) (* (* (* x n) (+ 1 (* x -1/2))) (* (* x x) (* (* n (+ 1 (* x -1/2))) (* n (+ 1 (* x -1/2))))))) (* (* n n) (+ (* (* (* x x) (* x x)) 1/4) (* (* (* x n) (+ 1 (* x -1/2))) (- (* (* x n) (+ 1 (* x -1/2))) (* 1/2 (* x x)))))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 (*.f64 n (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 n (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 n (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) (*.f64 n (*.f64 n (*.f64 x (+.f64 (*.f64 (*.f64 n (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (+.f64 n (*.f64 x (+.f64 (*.f64 n #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))))))
(+ (* (* x (* x x)) (* (* x (* x x)) 1/8)) (* (* (* x n) (+ 1 (* x -1/2))) (* (* x x) (* (* n (+ 1 (* x -1/2))) (* n (+ 1 (* x -1/2)))))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 (*.f64 (*.f64 n (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 n (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 n (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))
(* (* x (* x x)) (* (* x (* x x)) 1/8))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
(* (* x (* x x)) 1/8)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))
1/8
#s(literal 1/8 binary64)
(* (* (* x n) (+ 1 (* x -1/2))) (* (* x x) (* (* n (+ 1 (* x -1/2))) (* n (+ 1 (* x -1/2))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x n) (*.f64 (*.f64 x n) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (*.f64 x n))))
(* (* x n) (+ 1 (* x -1/2)))
(*.f64 (*.f64 x n) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* x n)
(*.f64 x n)
n
(+ 1 (* x -1/2))
(-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* (* x x) (* (* n (+ 1 (* x -1/2))) (* n (+ 1 (* x -1/2)))))
(*.f64 (*.f64 x x) (*.f64 n (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 n (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))))
(* (* n (+ 1 (* x -1/2))) (* n (+ 1 (* x -1/2))))
(*.f64 n (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 n (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(* n (+ 1 (* x -1/2)))
(*.f64 n (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))
(* (* n n) (+ (* (* (* x x) (* x x)) 1/4) (* (* (* x n) (+ 1 (* x -1/2))) (- (* (* x n) (+ 1 (* x -1/2))) (* 1/2 (* x x))))))
(*.f64 n (*.f64 n (*.f64 x (+.f64 (*.f64 (*.f64 n (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (+.f64 n (*.f64 x (+.f64 (*.f64 n #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))))))
(* n n)
(*.f64 n n)
(+ (* (* (* x x) (* x x)) 1/4) (* (* (* x n) (+ 1 (* x -1/2))) (- (* (* x n) (+ 1 (* x -1/2))) (* 1/2 (* x x)))))
(*.f64 x (+.f64 (*.f64 (*.f64 n (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x (+.f64 n (*.f64 x (+.f64 (*.f64 n #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64))))
(* (* (* x x) (* x x)) 1/4)
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/4 binary64)))
(* (* x x) (* x x))
(*.f64 x (*.f64 x (*.f64 x x)))
1/4
#s(literal 1/4 binary64)
(* (* (* x n) (+ 1 (* x -1/2))) (- (* (* x n) (+ 1 (* x -1/2))) (* 1/2 (* x x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x n) (*.f64 x (+.f64 n (*.f64 x (+.f64 (*.f64 n #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))))
(- (* (* x n) (+ 1 (* x -1/2))) (* 1/2 (* x x)))
(*.f64 x (+.f64 n (*.f64 x (+.f64 (*.f64 n #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))
(* 1/2 (* x x))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(- (exp (/ x n)) (pow x (/ 1 n)))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp (/ x n))
(exp.f64 (/.f64 x n))
(/ x n)
(/.f64 x n)
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)

localize277.0ms (0.7%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x n)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy99.9%
(exp.f64 (/.f64 x n))
✓accuracy64.7%
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy90.2%
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
✓accuracy88.5%
(*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
✓accuracy88.3%
(*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
✓accuracy31.1%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
✓accuracy100.0%
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x))
✓accuracy99.9%
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x)
✓accuracy99.5%
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
✓accuracy94.6%
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
✓accuracy99.8%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
Results
110.0ms90×1valid
88.0ms158×0valid
13.0ms8×2valid
Compiler

Compiled 510 to 45 computations (91.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-mult: 39.0ms (37.7% of total)
ival-div: 20.0ms (19.4% of total)
ival-pow: 13.0ms (12.6% of total)
backward-pass: 10.0ms (9.7% of total)
ival-add: 8.0ms (7.7% of total)
...c/correct-round.rkt:119:19: 5.0ms (4.8% of total)
ival-exp: 3.0ms (2.9% of total)
ival-sub: 3.0ms (2.9% of total)
const: 1.0ms (1% of total)

series38.0ms (0.1%)

Counts
17 → 348
Calls
Call 1
Inputs
#<alt (/ (/ (pow x (/ 1 n)) n) x)>
#<alt (/ (pow x (/ 1 n)) n)>
#<alt (pow x (/ 1 n))>
#<alt (/ 1 n)>
#<alt (/ (/ (+ (+ 1 (/ 1/3 (* x x))) (/ -1/2 x)) x) n)>
#<alt (/ (+ (+ 1 (/ 1/3 (* x x))) (/ -1/2 x)) x)>
#<alt (+ (+ 1 (/ 1/3 (* x x))) (/ -1/2 x))>
#<alt (+ 1 (/ 1/3 (* x x)))>
#<alt (/ (+ (* (* x (* x x)) (* (* x (* x x)) 1/8)) (* (* (* x n) (+ 1 (* x -1/2))) (* (* x x) (* (* n (+ 1 (* x -1/2))) (* n (+ 1 (* x -1/2))))))) (* (* n n) (+ (* (* (* x x) (* x x)) 1/4) (* (* (* x n) (+ 1 (* x -1/2))) (- (* (* x n) (+ 1 (* x -1/2))) (* 1/2 (* x x)))))))>
#<alt (+ (* (* x (* x x)) (* (* x (* x x)) 1/8)) (* (* (* x n) (+ 1 (* x -1/2))) (* (* x x) (* (* n (+ 1 (* x -1/2))) (* n (+ 1 (* x -1/2)))))))>
#<alt (* (* n n) (+ (* (* (* x x) (* x x)) 1/4) (* (* (* x n) (+ 1 (* x -1/2))) (- (* (* x n) (+ 1 (* x -1/2))) (* 1/2 (* x x))))))>
#<alt (+ (* (* (* x x) (* x x)) 1/4) (* (* (* x n) (+ 1 (* x -1/2))) (- (* (* x n) (+ 1 (* x -1/2))) (* 1/2 (* x x)))))>
#<alt (- (exp (/ x n)) (pow x (/ 1 n)))>
#<alt (exp (/ x n))>
#<alt (/ x n)>
#<alt (/ 1/3 (* x x))>
#<alt (* (* x x) (* (* n (+ 1 (* x -1/2))) (* n (+ 1 (* x -1/2)))))>
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)) 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 (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 (/ 1/3 (* n (pow x 3)))>
#<alt (/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 3))>
#<alt (/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3))>
#<alt (/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3))>
#<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 (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) 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 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))>
#<alt (/ 1/3 (pow x 3))>
#<alt (/ (+ 1/3 (* -1/2 x)) (pow x 3))>
#<alt (/ (+ 1/3 (* x (- x 1/2))) (pow x 3))>
#<alt (/ (+ 1/3 (* x (- x 1/2))) (pow x 3))>
#<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))) 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 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ (+ 1/3 (* -1/2 x)) (pow x 2))>
#<alt (/ (+ 1/3 (* x (- x 1/2))) (pow x 2))>
#<alt (/ (+ 1/3 (* x (- x 1/2))) (pow x 2))>
#<alt 1>
#<alt (- 1 (* 1/2 (/ 1 x)))>
#<alt (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x)))>
#<alt (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x)))>
#<alt 1>
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#<alt (* (pow n 2) (+ (* -1 (/ (+ (* -1/4 (/ (pow x 4) n)) (* 1/2 (* (pow x 3) (+ 1 (* -1/2 x))))) n)) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2))))>
#<alt (* (pow n 2) (+ (* -1 (/ (+ (* -1/4 (/ (pow x 4) n)) (* 1/2 (* (pow x 3) (+ 1 (* -1/2 x))))) n)) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2))))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* 1/2 (/ x (pow n 2))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (- (exp (/ x n)) (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- (exp (/ x n)) (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- (exp (/ x n)) (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- (exp (/ x n)) (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- (exp (/ x n)) (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- (exp (/ x n)) (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- (exp (/ x n)) (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- (exp (/ x n)) (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- (exp (/ x n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ x n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ x n)) (exp (/ (log x) n)))>
#<alt (- (exp (/ x n)) (exp (/ (log x) n)))>
#<alt (/ (- x (log x)) n)>
#<alt (/ (- (+ x (* 1/2 (/ (pow x 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (+ x (+ (* 1/6 (/ (pow x 3) (pow n 2))) (* 1/2 (/ (pow x 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)>
#<alt (/ (- (+ x (+ (* 1/24 (/ (pow x 4) (pow n 3))) (+ (* 1/6 (/ (pow x 3) (pow n 2))) (* 1/2 (/ (pow 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 x) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow x 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow x 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow x 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* 1/2 (/ x (pow n 2))) (/ 1 n))))>
#<alt (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt (exp (/ x n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ x n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow x 3) (pow n 3))) (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ x n))))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* 1/2 (pow x 2))) n))) n)))>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ x n)>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ 1/3 (pow x 2))>
#<alt (* (pow n 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* -1 (* (pow n 2) x)) (pow n 2)))>
#<alt (* (pow x 2) (+ (* x (+ (* -1 (pow n 2)) (* 1/4 (* (pow n 2) x)))) (pow n 2)))>
#<alt (* (pow x 2) (+ (* x (+ (* -1 (pow n 2)) (* 1/4 (* (pow n 2) x)))) (pow n 2)))>
#<alt (* 1/4 (* (pow n 2) (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1 (/ (pow n 2) x)) (* 1/4 (pow n 2))))>
#<alt (* (pow x 4) (+ (* -1 (/ (pow n 2) x)) (+ (* 1/4 (pow n 2)) (/ (pow n 2) (pow x 2)))))>
#<alt (* (pow x 4) (+ (* -1 (/ (pow n 2) x)) (+ (* 1/4 (pow n 2)) (/ (pow n 2) (pow x 2)))))>
#<alt (* 1/4 (* (pow n 2) (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1 (/ (pow n 2) x)) (* 1/4 (pow n 2))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (pow n 2) x)) (pow n 2)) x)) (* 1/4 (pow n 2))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (pow n 2) x)) (pow n 2)) x)) (* 1/4 (pow n 2))))>
#<alt (* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))>
#<alt (* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))>
#<alt (* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))>
#<alt (* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))>
#<alt (* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))>
#<alt (* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))>
#<alt (* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))>
#<alt (* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))>
#<alt (* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))>
#<alt (* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))>
#<alt (* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))>
#<alt (* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))>
Calls

87 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(/ (/ (pow x (/ 1 n)) n) x)
3.0ms
x
@inf
(/ (/ (pow x (/ 1 n)) n) x)
3.0ms
x
@inf
(/ (+ (* (* x (* x x)) (* (* x (* x x)) 1/8)) (* (* (* x n) (+ 1 (* x -1/2))) (* (* x x) (* (* n (+ 1 (* x -1/2))) (* n (+ 1 (* x -1/2))))))) (* (* n n) (+ (* (* (* x x) (* x x)) 1/4) (* (* (* x n) (+ 1 (* x -1/2))) (- (* (* x n) (+ 1 (* x -1/2))) (* 1/2 (* x x)))))))
2.0ms
x
@-inf
(/ (+ (* (* x (* x x)) (* (* x (* x x)) 1/8)) (* (* (* x n) (+ 1 (* x -1/2))) (* (* x x) (* (* n (+ 1 (* x -1/2))) (* n (+ 1 (* x -1/2))))))) (* (* n n) (+ (* (* (* x x) (* x x)) 1/4) (* (* (* x n) (+ 1 (* x -1/2))) (- (* (* x n) (+ 1 (* x -1/2))) (* 1/2 (* x x)))))))
2.0ms
x
@0
(/ (+ (* (* x (* x x)) (* (* x (* x x)) 1/8)) (* (* (* x n) (+ 1 (* x -1/2))) (* (* x x) (* (* n (+ 1 (* x -1/2))) (* n (+ 1 (* x -1/2))))))) (* (* n n) (+ (* (* (* x x) (* x x)) 1/4) (* (* (* x n) (+ 1 (* x -1/2))) (- (* (* x n) (+ 1 (* x -1/2))) (* 1/2 (* x x)))))))

rewrite291.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
3666×*-lowering-*.f32
3666×*-lowering-*.f64
2554×/-lowering-/.f32
2554×/-lowering-/.f64
2146×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043241
1295203
23027203
08861203
Stop Event
1×iter limit
1×node limit
Counts
17 → 557
Calls
Call 1
Inputs
(/ (/ (pow x (/ 1 n)) n) x)
(/ (pow x (/ 1 n)) n)
(pow x (/ 1 n))
(/ 1 n)
(/ (/ (+ (+ 1 (/ 1/3 (* x x))) (/ -1/2 x)) x) n)
(/ (+ (+ 1 (/ 1/3 (* x x))) (/ -1/2 x)) x)
(+ (+ 1 (/ 1/3 (* x x))) (/ -1/2 x))
(+ 1 (/ 1/3 (* x x)))
(/ (+ (* (* x (* x x)) (* (* x (* x x)) 1/8)) (* (* (* x n) (+ 1 (* x -1/2))) (* (* x x) (* (* n (+ 1 (* x -1/2))) (* n (+ 1 (* x -1/2))))))) (* (* n n) (+ (* (* (* x x) (* x x)) 1/4) (* (* (* x n) (+ 1 (* x -1/2))) (- (* (* x n) (+ 1 (* x -1/2))) (* 1/2 (* x x)))))))
(+ (* (* x (* x x)) (* (* x (* x x)) 1/8)) (* (* (* x n) (+ 1 (* x -1/2))) (* (* x x) (* (* n (+ 1 (* x -1/2))) (* n (+ 1 (* x -1/2)))))))
(* (* n n) (+ (* (* (* x x) (* x x)) 1/4) (* (* (* x n) (+ 1 (* x -1/2))) (- (* (* x n) (+ 1 (* x -1/2))) (* 1/2 (* x x))))))
(+ (* (* (* x x) (* x x)) 1/4) (* (* (* x n) (+ 1 (* x -1/2))) (- (* (* x n) (+ 1 (* x -1/2))) (* 1/2 (* x x)))))
(- (exp (/ x n)) (pow x (/ 1 n)))
(exp (/ x n))
(/ x n)
(/ 1/3 (* x x))
(* (* x x) (* (* n (+ 1 (* x -1/2))) (* n (+ 1 (* x -1/2)))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) n)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)))))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x 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) (neg.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x 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))) (*.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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) n)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(/.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 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) n))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (neg.f64 (*.f64 x n))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) #s(literal 1 binary64)) x)
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 (neg.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (neg.f64 (*.f64 x n)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(/.f64 (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)) (-.f64 #s(literal 0 binary64) n))
(pow.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) #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 (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) n) x))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) 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 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n))) (*.f64 x n)))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n))) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n))) n))
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n))) n) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n))) x))
(*.f64 (pow.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.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) n))
(exp.f64 (*.f64 (log.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)) (/.f64 (log.f64 x) n)))
(exp.f64 (+.f64 (/.f64 (log.f64 x) n) (*.f64 (log.f64 n) #s(literal -1 binary64))))
(neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) n)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) n))
(/.f64 (neg.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) n))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) n))))
(/.f64 (neg.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) n)))
(pow.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))
(*.f64 (/.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) (pow.f64 x (/.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) n))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal -1 binary64) n))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n))) n))
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n))) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(exp.f64 (/.f64 (log.f64 x) n))
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(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) n) (*.f64 (*.f64 x (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x n))))
(+.f64 (*.f64 (*.f64 x n) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x n))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(+.f64 (*.f64 n (*.f64 x (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x n)) (*.f64 x (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(pow.f64 (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 2 binary64))
(*.f64 x (*.f64 (*.f64 x n) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(*.f64 x (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
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(*.f64 (*.f64 x x) (*.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(*.f64 (*.f64 x n) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
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simplify293.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
5692×*-lowering-*.f32
5692×*-lowering-*.f64
4078×+-lowering-+.f64
4078×+-lowering-+.f32
1646×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07446281
126355506
085805506
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
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)) n)
(/ (exp (/ (log x) n)) n)
(/ (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)
(* -1 (/ (- (* -1 (/ (log x) n)) 1) n))
(* -1 (/ (- (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) 1) n))
(* -1 (/ (- (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n))) 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)))
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1 n)
(/ 1/3 (* n (pow x 3)))
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 3))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3))
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3))
(/ 1 (* n x))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/ 1 (* n x))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x))
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(/ 1/3 (pow x 3))
(/ (+ 1/3 (* -1/2 x)) (pow x 3))
(/ (+ 1/3 (* x (- x 1/2))) (pow x 3))
(/ (+ 1/3 (* x (- x 1/2))) (pow x 3))
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(/ (+ 1/3 (* -1/2 x)) (pow x 2))
(/ (+ 1/3 (* x (- x 1/2))) (pow x 2))
(/ (+ 1/3 (* x (- x 1/2))) (pow x 2))
1
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1
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(* (pow x 2) (+ (* (pow n 3) (* x (- (* -1 n) 1/2))) (pow n 4)))
(* (pow x 2) (+ (* x (+ (* (pow n 2) (* x (+ 1/4 (* -1/2 (* n (- (* -1/2 n) 1/2)))))) (* (pow n 3) (- (* -1 n) 1/2)))) (pow n 4)))
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(- (exp (/ x n)) (exp (/ (log x) n)))
(/ (- x (log x)) n)
(/ (- (+ x (* 1/2 (/ (pow x 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/ (- (+ x (+ (* 1/6 (/ (pow x 3) (pow n 2))) (* 1/2 (/ (pow x 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
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(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow x 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow x 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow x 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
1
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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 (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
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(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(- (exp (/ x n)) (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(- (exp (/ x n)) (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(- (exp (/ x n)) (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))
(- (exp (/ x n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(- (exp (/ x n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(- (exp (/ x n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(- (exp (/ x n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(/ (- x (log x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(/ (- (+ x (* 1/2 (/ (pow x 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (+.f64 x (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x))) n)
(/ (- (+ x (+ (* 1/6 (/ (pow x 3) (pow n 2))) (* 1/2 (/ (pow x 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(/.f64 (+.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) n) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n n)) (+.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)))))) n)
(/ (- (+ x (+ (* 1/24 (/ (pow x 4) (pow n 3))) (+ (* 1/6 (/ (pow x 3) (pow n 2))) (* 1/2 (/ (pow 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 x (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) n) (/.f64 #s(literal 1/24 binary64) (*.f64 n n)))) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) n) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n n))) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n))) (+.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 n (*.f64 n n))) (log.f64 x))))) n)
(* -1 (/ (- (* -1 x) (* -1 (log x))) n))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x (log.f64 x))) n)
(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (+.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) x) (log.f64 x)) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow x 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) (-.f64 #s(literal 0 binary64) n))
(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow x 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow x 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n) (*.f64 #s(literal -1/6 binary64) (-.f64 (*.f64 x (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) n)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) (-.f64 #s(literal 0 binary64) n))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(+ 1 (* x (+ (* 1/2 (/ x (pow n 2))) (/ 1 n))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n))))))
(+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 n (*.f64 n n))))))))
(exp (/ x n))
(exp.f64 (/.f64 x n))
(exp (/ x n))
(exp.f64 (/.f64 x n))
(exp (/ x n))
(exp.f64 (/.f64 x n))
(exp (/ x n))
(exp.f64 (/.f64 x n))
(exp (/ x n))
(exp.f64 (/.f64 x n))
(exp (/ x n))
(exp.f64 (/.f64 x n))
(exp (/ x n))
(exp.f64 (/.f64 x n))
(exp (/ x n))
(exp.f64 (/.f64 x n))
(exp (/ x n))
(exp.f64 (/.f64 x n))
(exp (/ x n))
(exp.f64 (/.f64 x n))
(exp (/ x n))
(exp.f64 (/.f64 x n))
(exp (/ x n))
(exp.f64 (/.f64 x n))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ x n)))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)) (+.f64 #s(literal 1 binary64) (/.f64 x n)))
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow n 3))) (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ x n))))
(+.f64 (+.f64 (/.f64 x n) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) n) x) n))
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* 1/2 (pow x 2))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 x x)) n))) n)) n))
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ x n)
(/.f64 x n)
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(/ 1/3 (pow x 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* (pow n 2) (pow x 2))
(*.f64 x (*.f64 x (*.f64 n n)))
(* (pow x 2) (+ (* -1 (* (pow n 2) x)) (pow n 2)))
(*.f64 (*.f64 x x) (-.f64 (*.f64 n n) (*.f64 x (*.f64 n n))))
(* (pow x 2) (+ (* x (+ (* -1 (pow n 2)) (* 1/4 (* (pow n 2) x)))) (pow n 2)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 n n) (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 n n) #s(literal 1/4 binary64))) (*.f64 n n)))))
(* (pow x 2) (+ (* x (+ (* -1 (pow n 2)) (* 1/4 (* (pow n 2) x)))) (pow n 2)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 n n) (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 n n) #s(literal 1/4 binary64))) (*.f64 n n)))))
(* 1/4 (* (pow n 2) (pow x 4)))
(*.f64 n (*.f64 n (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 4) (+ (* -1 (/ (pow n 2) x)) (* 1/4 (pow n 2))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 n n) #s(literal 1/4 binary64)) (/.f64 (*.f64 n n) x)))
(* (pow x 4) (+ (* -1 (/ (pow n 2) x)) (+ (* 1/4 (pow n 2)) (/ (pow n 2) (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 (*.f64 n n) (*.f64 x x)) (-.f64 (*.f64 (*.f64 n n) #s(literal 1/4 binary64)) (/.f64 (*.f64 n n) x))))
(* (pow x 4) (+ (* -1 (/ (pow n 2) x)) (+ (* 1/4 (pow n 2)) (/ (pow n 2) (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 (*.f64 n n) (*.f64 x x)) (-.f64 (*.f64 (*.f64 n n) #s(literal 1/4 binary64)) (/.f64 (*.f64 n n) x))))
(* 1/4 (* (pow n 2) (pow x 4)))
(*.f64 n (*.f64 n (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* (pow x 4) (+ (* -1 (/ (pow n 2) x)) (* 1/4 (pow n 2))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 n n) #s(literal 1/4 binary64)) (/.f64 (*.f64 n n) x)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (pow n 2) x)) (pow n 2)) x)) (* 1/4 (pow n 2))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 n n) #s(literal 1/4 binary64)) (/.f64 (-.f64 (*.f64 n n) (/.f64 (*.f64 n n) x)) x)))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (pow n 2) x)) (pow n 2)) x)) (* 1/4 (pow n 2))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 n n) #s(literal 1/4 binary64)) (/.f64 (-.f64 (*.f64 n n) (/.f64 (*.f64 n n) x)) x)))
(* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))
(*.f64 (*.f64 n n) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))
(*.f64 (*.f64 n n) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))
(*.f64 (*.f64 n n) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))
(*.f64 (*.f64 n n) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))
(*.f64 (*.f64 n n) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))
(*.f64 (*.f64 n n) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))
(*.f64 (*.f64 n n) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))
(*.f64 (*.f64 n n) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))
(*.f64 (*.f64 n n) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))
(*.f64 (*.f64 n n) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))
(*.f64 (*.f64 n n) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow n 2) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))
(*.f64 (*.f64 n n) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))

eval103.0ms (0.3%)

Compiler

Compiled 46904 to 2697 computations (94.2% saved)

prune143.0ms (0.3%)

Pruning

65 alts after pruning (59 fresh and 6 done)

PrunedKeptTotal
New95521976
Fresh43842
Picked145
Done022
Total960651025
Accuracy
100.0%
Counts
1025 → 65
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓64.4%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
35.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))) x) n)
43.5%
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) n)
45.7%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x) n)
27.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
35.1%
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
27.6%
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
30.2%
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -4/3 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) n) (*.f64 (log.f64 x) #s(literal -2 binary64))) n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
31.2%
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
45.7%
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
45.7%
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
✓45.7%
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
31.9%
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 x #s(literal -1/2 binary64))))) n)
35.4%
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) n)
24.9%
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
45.7%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))) n)
40.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
40.5%
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
33.0%
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
17.2%
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 n n))) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
2.9%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (*.f64 (*.f64 n n) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
45.9%
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
2.5%
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
5.4%
(/.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n))
26.4%
(/.f64 (-.f64 x (log.f64 x)) n)
23.6%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
33.8%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))
27.6%
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
39.9%
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
27.6%
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
44.8%
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x n))
38.4%
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (*.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 x (*.f64 x x)))
2.3%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (*.f64 x (*.f64 x (*.f64 n n)))))
5.5%
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n x)) (*.f64 n n))
56.3%
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
5.1%
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n)) (*.f64 n n))
34.2%
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))
4.3%
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 n x)))) (*.f64 n n))
2.4%
(/.f64 (*.f64 (*.f64 n n) (*.f64 n (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
38.0%
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
5.2%
(/.f64 (*.f64 x (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64)))))) (*.f64 n n))
5.3%
(/.f64 (*.f64 n x) (*.f64 n n))
8.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
56.2%
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
56.2%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
4.5%
(/.f64 x n)
56.1%
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
39.6%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
43.5%
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
57.2%
(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
32.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) n) x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓33.9%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
9.1%
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
28.5%
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) 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 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
✓57.2%
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
14.1%
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
✓40.7%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
22.6%
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n n))
36.1%
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
56.1%
(*.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)))
56.2%
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
5.3%
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
22.0%
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)))
✓33.5%
#s(literal 0 binary64)
Compiler

Compiled 3509 to 1253 computations (64.3% saved)

regimes109.0ms (0.3%)

Counts
95 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 n x) (*.f64 n n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n x)) (*.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 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x n))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 n x)))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (*.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 x (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) n)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (*.f64 (*.f64 n n) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 n n) (*.f64 n (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (*.f64 x (*.f64 x (*.f64 n n)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 x #s(literal -1/2 binary64))))) n)
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(*.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) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n n))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) n) x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #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 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) n) (*.f64 n (*.f64 n #s(literal -1/2 binary64)))) x) (*.f64 n (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n (*.f64 n n)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x n) #s(literal -1 binary64)) (/.f64 n x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (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 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 n n))) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 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)
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x))) x)
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
(/.f64 (+.f64 (log1p.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 x))) n)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -4/3 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) n) (*.f64 (log.f64 x) #s(literal -2 binary64))) n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n))))
(-.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 n n))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) 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))
Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.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))
(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

4 calls:

25.0ms
(/.f64 #s(literal 1 binary64) n)
24.0ms
n
24.0ms
x
22.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
84.5%2x
87.8%4n
84.5%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
87.8%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes39.0ms (0.1%)

Counts
94 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 n x) (*.f64 n n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n x)) (*.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 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x n))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 n x)))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (*.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 x (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) n)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (*.f64 (*.f64 n n) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 n n) (*.f64 n (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (*.f64 x (*.f64 x (*.f64 n n)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 x #s(literal -1/2 binary64))))) n)
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(*.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) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n n))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) n) x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #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 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) n) (*.f64 n (*.f64 n #s(literal -1/2 binary64)))) x) (*.f64 n (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n (*.f64 n n)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x n) #s(literal -1 binary64)) (/.f64 n x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (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 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 n n))) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 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)
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x))) x)
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
(/.f64 (+.f64 (log1p.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 x))) n)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -4/3 binary64)) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) n) (*.f64 (log.f64 x) #s(literal -2 binary64))) n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n))))
(-.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 n n))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))))
Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (+.f64 (log1p.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 x))) n)
(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

26.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
87.7%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes33.0ms (0.1%)

Counts
88 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 n x) (*.f64 n n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n x)) (*.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 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x n))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 n x)))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (*.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 x (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) n)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (*.f64 (*.f64 n n) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 n n) (*.f64 n (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (*.f64 x (*.f64 x (*.f64 n n)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 x #s(literal -1/2 binary64))))) n)
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(*.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) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n n))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) n) x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #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 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) n) (*.f64 n (*.f64 n #s(literal -1/2 binary64)))) x) (*.f64 n (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n (*.f64 n n)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x n) #s(literal -1 binary64)) (/.f64 n x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (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 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 n n))) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n)
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 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)
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log.f64 x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x))) x)
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n))
Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

22.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
87.6%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes30.0ms (0.1%)

Counts
78 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 n x) (*.f64 n n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n x)) (*.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 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x n))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 n x)))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (*.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 x (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) n)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (*.f64 (*.f64 n n) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 n n) (*.f64 n (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (*.f64 x (*.f64 x (*.f64 n n)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 x #s(literal -1/2 binary64))))) n)
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(*.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) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n n))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) n) x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #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 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) n) (*.f64 n (*.f64 n #s(literal -1/2 binary64)))) x) (*.f64 n (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n (*.f64 n n)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x n) #s(literal -1 binary64)) (/.f64 n x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (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 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) x)) x)
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 n n))) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)))) x)
Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

20.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
87.5%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes62.0ms (0.2%)

Counts
68 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 n x) (*.f64 n n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n x)) (*.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 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x n))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 n x)))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (*.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 x (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) n)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (*.f64 (*.f64 n n) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 n n) (*.f64 n (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (*.f64 x (*.f64 x (*.f64 n n)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 x #s(literal -1/2 binary64))))) n)
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(*.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) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n n))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) n) x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #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 (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) n) (*.f64 n (*.f64 n #s(literal -1/2 binary64)))) x) (*.f64 n (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 n (*.f64 n n)))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x n) #s(literal -1 binary64)) (/.f64 n x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

3 calls:

19.0ms
x
18.0ms
(/.f64 #s(literal 1 binary64) n)
17.0ms
n
Results
AccuracySegmentsBranch
77.7%3x
84.9%4n
84.9%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes23.0ms (0.1%)

Counts
60 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 n x) (*.f64 n n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n x)) (*.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 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x n))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 n x)))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (*.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 x (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) n)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (*.f64 (*.f64 n n) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 n n) (*.f64 n (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (*.f64 x (*.f64 x (*.f64 n n)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 x #s(literal -1/2 binary64))))) n)
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(*.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) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n)))) (*.f64 n n))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) n) x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

16.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
84.7%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes22.0ms (0.1%)

Counts
57 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 n x) (*.f64 n n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n x)) (*.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 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x n))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 n x)))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (*.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 x (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) n)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (*.f64 (*.f64 n n) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 n n) (*.f64 n (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (*.f64 x (*.f64 x (*.f64 n n)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 x #s(literal -1/2 binary64))))) n)
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(*.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) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n)
Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
Calls

1 calls:

15.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
85.3%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes22.0ms (0.1%)

Counts
53 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 n x) (*.f64 n n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n x)) (*.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 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x n))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 n x)))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (*.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 x (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) n)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (*.f64 (*.f64 n n) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 n n) (*.f64 n (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (*.f64 x (*.f64 x (*.f64 n n)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 x #s(literal -1/2 binary64))))) n)
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)
(*.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 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
Calls

1 calls:

15.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
85.1%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes47.0ms (0.1%)

Counts
50 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 n x) (*.f64 n n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n x)) (*.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 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x n))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 n x)))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (*.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 x (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) n)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (*.f64 (*.f64 n n) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 n n) (*.f64 n (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (*.f64 x (*.f64 x (*.f64 n n)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 x #s(literal -1/2 binary64))))) n)
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
Outputs
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
Calls

3 calls:

13.0ms
(/.f64 #s(literal 1 binary64) n)
13.0ms
x
13.0ms
n
Results
AccuracySegmentsBranch
66.8%4x
72.7%4n
72.8%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes21.0ms (0.1%)

Counts
49 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 n x) (*.f64 n n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n x)) (*.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 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x n))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 n x)))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (*.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 x (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) n)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (*.f64 (*.f64 n n) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 n n) (*.f64 n (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (*.f64 x (*.f64 x (*.f64 n n)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 x #s(literal -1/2 binary64))))) n)
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
Outputs
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x 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 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
Calls

1 calls:

14.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
72.8%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes45.0ms (0.1%)

Counts
48 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 n x) (*.f64 n n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n x)) (*.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 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x n))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 n x)))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (*.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 x (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) n)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (*.f64 (*.f64 n n) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 n n) (*.f64 n (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (*.f64 x (*.f64 x (*.f64 n n)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 x #s(literal -1/2 binary64))))) n)
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
#s(literal 0 binary64)
Calls

3 calls:

13.0ms
(/.f64 #s(literal 1 binary64) n)
13.0ms
x
13.0ms
n
Results
AccuracySegmentsBranch
66.5%4x
66.0%5n
66.1%5(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes45.0ms (0.1%)

Counts
47 → 5
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 n x) (*.f64 n n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n x)) (*.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 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x n))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 n x)))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (*.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 x (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) n)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (*.f64 (*.f64 n n) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 n n) (*.f64 n (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (*.f64 x (*.f64 x (*.f64 n n)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 x #s(literal -1/2 binary64))))) n)
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
Outputs
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
#s(literal 0 binary64)
Calls

3 calls:

13.0ms
x
12.0ms
(/.f64 #s(literal 1 binary64) n)
12.0ms
n
Results
AccuracySegmentsBranch
60.1%4n
61.2%4(/.f64 #s(literal 1 binary64) n)
63.4%5x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes39.0ms (0.1%)

Counts
46 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 n x) (*.f64 n n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n x)) (*.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 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x n))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 n #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 n x)))) (*.f64 n n))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))) n)
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (*.f64 x (+.f64 (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 x (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) x)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) n)
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (neg.f64 n)) (*.f64 n n))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))
(/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))) n)
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x))))) x) n)
(/.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (*.f64 (*.f64 n n) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 n n) (*.f64 n (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (*.f64 x (*.f64 x (*.f64 n n)))))
(/.f64 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (/.f64 x #s(literal -1/2 binary64))))) n)
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 x (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
Outputs
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x)
Calls

3 calls:

12.0ms
x
12.0ms
(/.f64 #s(literal 1 binary64) n)
12.0ms
n
Results
AccuracySegmentsBranch
56.7%3n
56.7%2(/.f64 #s(literal 1 binary64) n)
55.9%3x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0%)

Counts
19 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 n x) (*.f64 n n))
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n)
(/.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) n)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n x)) (*.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 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64)))))) (*.f64 n n))
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x n))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) n)
Outputs
(/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x) n)
Calls

1 calls:

6.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
56.7%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0%)

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

1 calls:

5.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
55.9%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0%)

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

3 calls:

3.0ms
x
3.0ms
(/.f64 #s(literal 1 binary64) n)
3.0ms
n
Results
AccuracySegmentsBranch
48.5%2x
50.2%3n
49.5%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 x n)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/.f64 (/.f64 #s(literal 1 binary64) n) x)
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
49.5%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0%)

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

2 calls:

2.0ms
x
2.0ms
n
Results
AccuracySegmentsBranch
48.0%2x
49.3%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -19.3b remaining (-45.3%)

Threshold costs -19.3b (-45.3%)

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

2 calls:

2.0ms
x
2.0ms
n
Results
AccuracySegmentsBranch
33.5%1n
33.5%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
9.77023333721493e-6
0.0011708480125724007
0.0ms
-4.79231676070428e-154
-9.107049978511707e-165
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
9.77023333721493e-6
0.0011708480125724007
0.0ms
-4.79231676070428e-154
-9.107049978511707e-165
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
9.885050215619564e-13
4.4653106515204154e-9
0.0ms
-4.79231676070428e-154
-9.107049978511707e-165
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
9.885050215619564e-13
4.4653106515204154e-9
0.0ms
-4.79231676070428e-154
-9.107049978511707e-165
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
9.885050215619564e-13
4.4653106515204154e-9
0.0ms
-4.79231676070428e-154
-9.107049978511707e-165
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
9.885050215619564e-13
4.4653106515204154e-9
0.0ms
-4.79231676070428e-154
-9.107049978511707e-165
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.683639281906513e+126
4.388256342647853e+129
0.0ms
9.885050215619564e-13
4.4653106515204154e-9
0.0ms
-4.79231676070428e-154
-9.107049978511707e-165
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.683639281906513e+126
4.388256342647853e+129
0.0ms
9.885050215619564e-13
4.4653106515204154e-9
0.0ms
-4.79231676070428e-154
-9.107049978511707e-165
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.683639281906513e+126
4.388256342647853e+129
0.0ms
9.885050215619564e-13
4.4653106515204154e-9
0.0ms
-2.5559840789585504e-11
-5.376529766956653e-12
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.683639281906513e+126
4.388256342647853e+129
0.0ms
9.885050215619564e-13
4.4653106515204154e-9
0.0ms
-2.5559840789585504e-11
-5.376529766956653e-12
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch113.0ms (0.3%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
36.0ms
1.3900097987447805e+131
2.0415071565815585e+133
31.0ms
0.1978217156263838
63.89201061711614
41.0ms
1.64260327846234e-124
8.740019475105579e-122
Results
46.0ms142×1valid
25.0ms62×2valid
22.0ms164×0valid
2.0ms15×0unsamplable
Compiler

Compiled 752 to 492 computations (34.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-pow: 56.0ms (76% of total)
ival-div: 5.0ms (6.8% of total)
backward-pass: 5.0ms (6.8% of total)
ival-add: 4.0ms (5.4% of total)
ival-sub: 3.0ms (4.1% of total)
const: 1.0ms (1.4% of total)

bsearch173.0ms (0.4%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
43.0ms
1.3900097987447805e+131
2.0415071565815585e+133
31.0ms
0.1978217156263838
63.89201061711614
39.0ms
2.2739323131558514e-167
2.3717861080449223e-165
54.0ms
1.3505464215217564e-241
2.2179142816906376e-240
Results
92.0ms214×1valid
30.0ms62×2valid
25.0ms188×0valid
4.0ms30×0unsamplable
Compiler

Compiled 894 to 584 computations (34.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-pow: 97.0ms (78.4% of total)
ival-div: 11.0ms (8.9% of total)
backward-pass: 6.0ms (4.8% of total)
ival-add: 5.0ms (4% of total)
ival-sub: 4.0ms (3.2% of total)
const: 1.0ms (0.8% of total)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2363833787.1503673
-20736.705284716198
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2363833787.1503673
-20736.705284716198
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.380988920895918
-5.809360322000893e-11
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2363833787.1503673
-20736.705284716198
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2363833787.1503673
-20736.705284716198
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch37.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
35.0ms
1.3900097987447805e+131
2.0415071565815585e+133
Results
22.0ms51×2valid
6.0ms53×0valid
2.0ms8×1valid
1.0ms10×0unsamplable
Compiler

Compiled 104 to 82 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-pow: 18.0ms (74% of total)
ival-div: 2.0ms (8.2% of total)
backward-pass: 2.0ms (8.2% of total)
ival-add: 1.0ms (4.1% of total)
ival-sub: 1.0ms (4.1% of total)
const: 0.0ms (0% of total)

simplify87.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
668×distribute-lft-neg-in_binary64
400×neg-mul-1_binary64
380×neg-sub0_binary64
378×distribute-neg-in_binary64
298×cancel-sign-sub_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0166728
1228728
2295724
3361724
4461721
5621721
6798721
71007721
81376721
91730721
102075721
112302721
122350721
132354721
142354721
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3019169939857233/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/590295810358705651712 binary64)) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) 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)) (-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3019169939857233/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/590295810358705651712 binary64)) (/.f64 (+.f64 (log1p.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 x))) n) (-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3019169939857233/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3019169939857233/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) 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 -3019169939857233/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3019169939857233/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 n n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3019169939857233/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4999999999999999774645533392489736797650112543691762059239812991258942725145587311077195076149028650434386188693474655458033664 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3019169939857233/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4999999999999999774645533392489736797650112543691762059239812991258942725145587311077195076149028650434386188693474655458033664 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4999999999999999774645533392489736797650112543691762059239812991258942725145587311077195076149028650434386188693474655458033664 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6189700196426901/309485009821345068724781056 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4951760157141521/4951760157141521099596496896 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4999999999999999774645533392489736797650112543691762059239812991258942725145587311077195076149028650434386188693474655458033664 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal 8931394244144417/186070713419675363980626894819329160794532188335953423432061490990243657757029868371504908982723472783555205531204141550984858016925351936 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 12999999999999998777528202731651177384112792245751117313560499371697192269100579951733348539903143295205374154508151832839279280652288 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 340184356305213/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 5311379928167671/16598062275523971834049631454764644604049784928969747599982629318762611245651632585598828195788415177152791546445203156729580604301647101231547499336455854748244727213606038094741504 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x)))) (if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 4800000000000000208154763188258794464281579120835055930033974018263670602863956040937625420717547450825394846507444018242368556761088 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1/2 binary64) n)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) n)) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2000000000 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) n) x))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2000000000 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x) n))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -4 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) x) n))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2000000000 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2000000000 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) x))
(if (<=.f64 x #s(literal 150000000000000006504836349633087327008799347526095497813561688070739706339498626279300794397423357838293588953357625570074017398784 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3019169939857233/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/590295810358705651712 binary64)) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) 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)) (-.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3019169939857233/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/590295810358705651712 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n) (-.f64 (log1p.f64 x) (log.f64 x))) n) (-.f64 (pow.f64 (E.f64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
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#s(literal 0 binary64)

soundness2.1s (5.1%)

Rules
5692×*-lowering-*.f32
5692×*-lowering-*.f64
4230×*-lowering-*.f32
4230×*-lowering-*.f64
4078×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07446281
126355506
085805506
044220
1358209
23915208
08821208
032133
1203116
21804116
08481116
043241
1295203
23027203
08861203
0822
15920
242520
3480320
0802620
010789023
137577992
085377992
02401373
17451195
223761118
081061118
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 2015 to 1038 computations (48.5% saved)

preprocess86.0ms (0.2%)

Compiler

Compiled 1490 to 342 computations (77% saved)

end0.0ms (0%)

Profiling

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