2nthrt (problem 3.4.6)

Time bar (total: 25.3s)

analyze267.0ms (1.1%)

Memory
31.9MiB live, 261.8MiB allocated
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%3.1%0%7
45.2%43.7%53.1%0.1%0%3.1%0%8
50.8%46.8%45.3%0.1%0%7.8%0%9
50.8%46.8%45.3%0.1%0%7.8%0%10
53.9%48.4%41.4%0.1%0%10.1%0%11
53.9%48.4%41.4%0.1%0%10.1%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample14.3s (56.4%)

Memory
-80.6MiB live, 17 358.5MiB allocated
Samples
9.4s4 948×5exit
1.6s2 785×2valid
1.2s2 896×1valid
521.0ms2 235×1exit
258.0ms2 575×0valid
174.0ms1 569×0exit
16.0ms6×4exit
1.0ms2×3exit
1.0ms2×2exit
Precisions
Click to see histograms. Total time spent on operations: 12.0s
ival-pow: 9.6s (79.7% of total)
adjust: 1.2s (9.8% of total)
ival-div: 513.0ms (4.3% of total)
ival-add: 361.0ms (3% of total)
ival-sub: 339.0ms (2.8% of total)
ival-true: 16.0ms (0.1% of total)
exact: 12.0ms (0.1% of total)
ival-assert: 7.0ms (0.1% of total)
Bogosity

preprocess28.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated
Algorithm
1×egg-herbie
Rules
114×sub-neg
80×lower-fma.f64
80×lower-fma.f32
66×unsub-neg
62×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02275
14369
29367
315867
424967
536667
644367
748467
852667
954167
1054967
0813
01313
11813
22213
32813
43613
55113
68313
710913
815313
916813
1017613
017613
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Outputs
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))

explain391.0ms (1.5%)

Memory
18.1MiB live, 333.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1001(3.1141712257392273e+295 -6.125872283526316e+27)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)))
4241(4.0327999872509017e-115 6.36938362841419e-50)0-(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(pow.f64 x (/.f64 #s(literal 1 binary64) n))
00-0-n
00-0-(/.f64 #s(literal 1 binary64) n)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.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)))cancellation1010
pow.f64(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))sensitivity830
Confusion
Predicted +Predicted -
+1230
-6172
Precision
0.6684782608695652
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12300
-61072
Precision?
0.6684782608695652
Recall?
1.0
Freqs
test
numberfreq
072
1184
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
156.0ms148×2valid
98.0ms270×1valid
8.0ms94×0valid
Compiler

Compiled 102 to 36 computations (64.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 237.0ms
ival-pow: 158.0ms (66.7% of total)
adjust: 58.0ms (24.5% of total)
ival-div: 9.0ms (3.8% of total)
ival-sub: 6.0ms (2.5% of total)
ival-add: 5.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.4%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify16.0ms (0.1%)

Memory
-24.2MiB live, 15.1MiB allocated
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
80×lower-fma.f64
80×lower-fma.f32
48×lower-*.f64
48×lower-*.f32
36×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0834
01334
11834
22234
32834
43634
55134
68334
710934
815334
916834
1017634
017634
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.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.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) n)
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
Outputs
(-.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.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) n)
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))

localize157.0ms (0.6%)

Memory
4.4MiB live, 161.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy85.0%
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
✓accuracy63.7%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Samples
57.0ms74×2valid
45.0ms135×1valid
12.0ms47×0valid
Compiler

Compiled 36 to 10 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-pow: 66.0ms (79.6% of total)
adjust: 7.0ms (8.4% of total)
ival-div: 4.0ms (4.8% of total)
ival-add: 3.0ms (3.6% of total)
ival-sub: 3.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series128.0ms (0.5%)

Memory
24.4MiB live, 62.7MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#<alt (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))>
#<alt (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))>
#<alt (pow.f64 x (/.f64 #s(literal 1 binary64) n))>
#<alt (+.f64 x #s(literal 1 binary64))>
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 (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>
#<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)))>
Calls

21 calls:

TimeVariablePointExpression
95.0ms
x
@0
(pow x (/ 1 n))
18.0ms
x
@-inf
(pow x (/ 1 n))
6.0ms
x
@inf
(pow x (/ 1 n))
1.0ms
x
@inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0ms
x
@-inf
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite441.0ms (1.7%)

Memory
6.2MiB live, 441.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 822×lower-fma.f64
3 822×lower-fma.f32
3 746×lower-*.f64
3 746×lower-*.f32
3 490×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01328
16328
240728
3433528
0843324
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 266
Calls
Call 1
Inputs
(-.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.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(+.f64 x #s(literal 1 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))))))
(+.f64 (/.f64 (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 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
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(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x x)))) (exp.f64 (log1p.f64 (-.f64 (*.f64 x x) x))))
(/.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.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 x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.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)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 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 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #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 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.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 x)) (*.f64 x (*.f64 x x))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.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) (fma.f64 x x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))

simplify469.0ms (1.9%)

Memory
-35.2MiB live, 813.3MiB allocated
Algorithm
1×egg-herbie
Rules
13 074×lower-fma.f64
13 074×lower-fma.f32
4 500×lower-*.f64
4 500×lower-*.f32
3 564×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02631678
17611542
221161468
374661462
087471344
Stop Event
1×iter limit
1×node limit
Counts
84 → 82
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)))
(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
(+ 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)))
Outputs
(- 1 (exp (/ (log x) n)))
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) 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) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/.f64 (fma.f64 (/.f64 (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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) 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) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))))) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 x n))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(/.f64 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) x))) x)) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))))) x))) x)) x)) x)
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (-.f64 (fma.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))) (log1p.f64 x)) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(-.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (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 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(/.f64 (+.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (log1p.f64 x)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (log.f64 x)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n)))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (log.f64 x) (fma.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))) (log1p.f64 x))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) 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))))) n)) n)) (neg.f64 n))
1
#s(literal 1 binary64)
(+ 1 (/ x n))
(+.f64 #s(literal 1 binary64) (/.f64 x n))
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(+ 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))))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))
(+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))
(fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)))
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))
(+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 x n)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/3 binary64) n))) x))) x)) x))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (/.f64 (log1p.f64 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))))
(+.f64 (/.f64 (log1p.f64 x) n) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log1p.f64 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) n) (log1p.f64 x)) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (* -1 (/ (log (/ 1 x)) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(exp (/ (log x) n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
1
#s(literal 1 binary64)
(+ 1 (/ (log x) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 x)) n))
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))
(+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 x)) n) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (/ (log x) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 x)) n))
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))) n) (log.f64 x)) n))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)

eval48.0ms (0.2%)

Memory
-5.9MiB live, 121.1MiB allocated
Compiler

Compiled 9 672 to 1 104 computations (88.6% saved)

prune69.0ms (0.3%)

Memory
-1.7MiB live, 157.1MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New33711348
Fresh000
Picked101
Done000
Total33811349
Accuracy
99.8%
Counts
349 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶16.8%
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
34.2%
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
27.4%
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))))) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
37.8%
(/.f64 (fma.f64 (/.f64 (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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
▶54.1%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
57.5%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
▶25.2%
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
16.0%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
31.2%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶63.7%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶39.1%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Compiler

Compiled 590 to 324 computations (45.1% saved)

simplify562.0ms (2.2%)

Memory
37.2MiB live, 1 185.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n)))
✓cost-diff0
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
✓cost-diff192
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))
✓cost-diff448
(fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
✓cost-diff0
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
✓cost-diff0
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓cost-diff320
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(*.f64 x n)
✓cost-diff0
(/.f64 #s(literal 1 binary64) n)
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
✓cost-diff0
(/.f64 #s(literal 1 binary64) n)
✓cost-diff0
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓cost-diff0
(log1p.f64 x)
✓cost-diff0
(/.f64 (log1p.f64 x) n)
✓cost-diff0
(exp.f64 (/.f64 (log1p.f64 x) n))
✓cost-diff0
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Rules
26 012×lower-fma.f32
26 002×lower-fma.f64
3 828×lower-*.f32
3 822×lower-*.f64
3 442×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033365
065351
1130351
2315351
3796348
42669348
55850348
08168341
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
n
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
(*.f64 x n)
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
x
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
n
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
x
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n)))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
n
(fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))
#s(literal 1/6 binary64)
(*.f64 n (*.f64 n n))
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))
(/.f64 #s(literal 1/3 binary64) n)
#s(literal 1/3 binary64)
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
#s(literal -1/2 binary64)
(/.f64 #s(literal -1/2 binary64) n)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
Outputs
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
n
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
x
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
n
(*.f64 x n)
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (fma.f64 x (fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
x
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
n
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (fma.f64 (fma.f64 x (/.f64 #s(literal 1/3 binary64) n) (fma.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (*.f64 x x) (fma.f64 (/.f64 x n) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
x
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))
(fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) n) (fma.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (/.f64 #s(literal 1/3 binary64) n) (fma.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n))))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
n
(fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))
(fma.f64 x (/.f64 #s(literal 1/3 binary64) n) (fma.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) n)))
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n)))
#s(literal 1/6 binary64)
(*.f64 n (*.f64 n n))
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))
(/.f64 #s(literal 1/3 binary64) n)
#s(literal 1/3 binary64)
(/.f64 #s(literal -1/2 binary64) (*.f64 n n))
#s(literal -1/2 binary64)
(/.f64 #s(literal -1/2 binary64) n)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 x (/.f64 #s(literal 1 binary64) n))

localize339.0ms (1.3%)

Memory
13.5MiB live, 517.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy93.2%
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))
✓accuracy91.9%
(+.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))))
✓accuracy89.5%
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n)))
✓accuracy52.9%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy99.3%
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
✓accuracy96.6%
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
✓accuracy90.6%
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
✓accuracy69.2%
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(*.f64 x n)
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy88.5%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) n)
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy52.9%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓accuracy100.0%
(pow.f64 x (/.f64 #s(literal 1 binary64) n))
✓accuracy100.0%
(exp.f64 (/.f64 (log1p.f64 x) n))
✓accuracy99.8%
(/.f64 (log1p.f64 x) n)
✓accuracy63.7%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Samples
125.0ms74×2valid
60.0ms55×1valid
40.0ms127×0valid
Compiler

Compiled 387 to 40 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 182.0ms
ival-div: 80.0ms (43.9% of total)
ival-pow: 19.0ms (10.4% of total)
ival-add: 18.0ms (9.9% of total)
ival-mult: 17.0ms (9.3% of total)
adjust: 16.0ms (8.8% of total)
ival-exp: 12.0ms (6.6% of total)
const: 8.0ms (4.4% of total)
ival-sub: 6.0ms (3.3% of total)
ival-log1p: 6.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series89.0ms (0.4%)

Memory
-31.7MiB live, 156.9MiB allocated
Counts
15 → 324
Calls
Call 1
Inputs
#<alt (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))>
#<alt (/.f64 (log1p.f64 x) n)>
#<alt (exp.f64 (/.f64 (log1p.f64 x) n))>
#<alt (pow.f64 x (/.f64 #s(literal 1 binary64) n))>
#<alt (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))>
#<alt (/.f64 #s(literal 1 binary64) n)>
#<alt (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))>
#<alt (*.f64 x n)>
#<alt (-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))>
#<alt (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))>
#<alt (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 n n))>
#<alt (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n)))>
#<alt (+.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))))>
#<alt (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) 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 (/ 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 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 (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 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (* -1 (/ (log (/ 1 x)) n))))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (* -1 (/ (log x) n))>
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)>
#<alt (/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (* -1/24 (/ (pow (log x) 4) (pow n 3))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)>
#<alt (* -1 (/ (log x) n))>
#<alt (* -1 (/ (- (* 1/2 (/ (pow (log x) 2) n)) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ 1 n)>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ (exp (/ (log x) n)) (* n x))>
#<alt (/ 1 (* n x))>
#<alt (/ (+ (/ 1 x) (/ (log x) (* n x))) n)>
#<alt (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)>
#<alt (/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (* n x)>
#<alt (- 1 (exp (/ (log x) n)))>
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (+ (* 1/2 (/ 1 n)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (pow x 2)))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (+ (* 1/2 (/ 1 n)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n)) x)) (* 1/2 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n)) x)) (* 1/2 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))>
#<alt (* 1/2 (/ (pow x 2) (pow n 2)))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ (* n (- 1 (exp (/ (log x) n)))) (* x (+ 1 (* -1/2 x)))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ (* n (- 1 (exp (/ (log x) n)))) (* x (+ 1 (* -1/2 x)))))) (pow n 2))>
#<alt (/ (- (* x (+ 1 (* -1/2 x))) (log x)) n)>
#<alt (/ (- (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x))))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)>
#<alt (/ (- (+ (* -1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x))))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)>
#<alt (* -1 (/ (- (* x (- (* 1/2 x) 1)) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (pow x 2)) (* 1/2 (pow (log x) 2))) n)) (* x (- (* 1/2 x) 1))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n)) (* x (- (* 1/2 x) 1))) (* -1 (log x))) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow x 2))) (* 1/2 (pow (log x) 2))) n)) (* x (- (* 1/2 x) 1))) (* -1 (log x))) n))>
#<alt (/ 1 n)>
#<alt (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))>
#<alt (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))>
#<alt (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))>
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* -1 (* x (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x)))))>
#<alt (* -1 (* x (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x)))))>
#<alt (* -1 (* x (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x)))))>
#<alt (* 1/2 (/ x (pow n 2)))>
#<alt (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))>
#<alt (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))>
#<alt (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))>
#<alt (/ (+ 1 (* -1/2 x)) n)>
#<alt (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)>
#<alt (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)>
#<alt (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)>
#<alt (* -1 (/ (- (* 1/2 x) 1) n))>
#<alt (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))>
#<alt (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))>
#<alt (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (* 1/2 (/ (pow x 2) (pow n 2)))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2))>
#<alt 1>
#<alt (+ 1 (/ (* x (+ 1 (* -1/2 x))) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))>
#<alt (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (* 1/6 (/ x (pow n 3)))>
#<alt (/ (+ (* 1/6 x) (* n (+ 1/2 (* -1/2 x)))) (pow n 3))>
#<alt (/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* n (- (* 1/3 x) 1/2)))))) (pow n 3))>
#<alt (/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* n (- (* 1/3 x) 1/2)))))) (pow n 3))>
#<alt (/ (- (* 1/3 x) 1/2) n)>
#<alt (/ (- (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) 1/2) n)>
#<alt (/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n)>
#<alt (/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n)>
#<alt (* -1 (/ (+ 1/2 (* -1/3 x)) n))>
#<alt (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x))) n))>
#<alt (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n))>
#<alt (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n))>
#<alt (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))>
#<alt (- (+ (* 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)))>
#<alt (- (+ (* 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)))>
#<alt (- (+ (* 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)))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))>
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* -1 (* x (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))>
#<alt (* -1 (* x (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))>
#<alt (* -1 (* x (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))>
#<alt (/ 1/6 (pow n 3))>
#<alt (/ (+ 1/6 (* -1/2 n)) (pow n 3))>
#<alt (/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))>
#<alt (/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))>
#<alt (/ 1/3 n)>
#<alt (/ (- 1/3 (* 1/2 (/ 1 n))) n)>
#<alt (/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)>
#<alt (/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)>
#<alt (/ 1/3 n)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))>
#<alt (/ 1 n)>
#<alt (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))>
#<alt (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))>
#<alt (+ (* x (- (+ (* 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 (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))>
#<alt (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))>
#<alt (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))>
#<alt (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x))) x)) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x))) x)) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 (pow n 2)))))>
#<alt (* 1/6 (/ (pow x 2) (pow n 3)))>
#<alt (/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3))>
#<alt (/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3))>
#<alt (/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3))>
#<alt (/ (+ 1 (* x (- (* 1/3 x) 1/2))) n)>
#<alt (/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n)>
#<alt (/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n)>
#<alt (/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n)>
#<alt (* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))>
Calls

81 calls:

TimeVariablePointExpression
23.0ms
n
@0
(/ (log (+ 1 x)) n)
22.0ms
x
@inf
(/ (pow x (/ 1 n)) (* x n))
10.0ms
n
@inf
(/ (log (+ 1 x)) n)
5.0ms
x
@-inf
(/ (pow x (/ 1 n)) (* x n))
2.0ms
n
@-inf
(/ 1/2 (* n n))

rewrite360.0ms (1.4%)

Memory
-2.5MiB live, 521.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 232×lower-/.f32
5 216×lower-/.f64
3 538×lower-*.f32
3 536×lower-fma.f32
3 532×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032184
062178
1315178
23625178
09751167
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 522
Calls
Call 1
Inputs
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log1p.f64 x) n)
(exp.f64 (/.f64 (log1p.f64 x) n))
(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) n)
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(*.f64 x n)
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n)))
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))
Outputs
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(+.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(-.f64 (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 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n))))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n))) (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) n))))))
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simplify452.0ms (1.8%)

Memory
8.7MiB live, 546.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 694×lower-fma.f64
8 694×lower-fma.f32
5 084×lower-+.f64
5 084×lower-+.f32
4 356×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06345333
118825057
253404984
087954666
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
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)
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(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(* -1 (* x (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))
(* -1 (* x (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))
(* -1 (* x (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))
(/ 1/6 (pow n 3))
(/ (+ 1/6 (* -1/2 n)) (pow n 3))
(/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))
(/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))
(/ 1/3 n)
(/ (- 1/3 (* 1/2 (/ 1 n))) n)
(/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)
(/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)
(/ 1/3 n)
(* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))
(/ 1 n)
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))
(+ (* 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))
(+ (* 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))
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x))) x)) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 (pow n 2)))))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x))) x)) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 (pow n 2)))))
(* 1/6 (/ (pow x 2) (pow n 3)))
(/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3))
(/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3))
(/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3))
(/ (+ 1 (* x (- (* 1/3 x) 1/2))) n)
(/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n)
(/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n)
(/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n)
(* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n))
(* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))
Outputs
(- 1 (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (+ 1 (/ x n)) (exp (/ (log x) n)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.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)))))
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/6 binary64) n))) (*.f64 n n))) (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) 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) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) 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) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) (*.f64 x x)) (/.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n))) x)
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (*.f64 x n))
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))
(/.f64 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) n)) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) n) (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n))) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/6 binary64) n))) (*.f64 n n))) x))) x)) x)
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) n) (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (+.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/6 binary64) n))) (*.f64 n n)))) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (/.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))) x))) (neg.f64 x))) x)) x)
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n)
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)
(-.f64 (/.f64 (+.f64 (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x))) (log.f64 x)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n)) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n)
(/.f64 (-.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)))) (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 n n))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x))))) n)
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (-.f64 (log.f64 x) (log1p.f64 x))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (log.f64 x) (+.f64 (log1p.f64 x) (/.f64 (fma.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 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))
(/.f64 (-.f64 (log.f64 x) (+.f64 (log1p.f64 x) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) 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))))) n)) n))) (neg.f64 n))
(/ x n)
(/.f64 x n)
(* x (+ (* -1/2 (/ x n)) (/ 1 n)))
(fma.f64 x (/.f64 (*.f64 x #s(literal -1/2 binary64)) n) (/.f64 x n))
(* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))
(fma.f64 x (*.f64 x (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) n)) (/.f64 x n))
(* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 (/.f64 x n) #s(literal -1/4 binary64)) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) n)) (/.f64 x n))
(* -1 (/ (log (/ 1 x)) n))
(/.f64 (log.f64 x) n)
(+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x)))
(+.f64 (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x n)))))
(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2)))))
(+.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x n)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x n)))))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n)
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (/ 1 (* n x)) (/ (log -1) n)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n))
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(*.f64 (*.f64 x x) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)) n) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x))) x)) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 (pow n 2)))))
(*.f64 x (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) x))))
(* (pow x 2) (- (+ (* -1 (/ (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x))) x)) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 (pow n 2)))))
(*.f64 x (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) x))))
(* 1/6 (/ (pow x 2) (pow n 3)))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n)))
(/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3))
(/.f64 (fma.f64 n (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 n (*.f64 n n)))
(/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3))
(/.f64 (fma.f64 n (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) n)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 n (*.f64 n n)))
(/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3))
(/.f64 (fma.f64 n (fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) n)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 n (*.f64 n n)))
(/ (+ 1 (* x (- (* 1/3 x) 1/2))) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) n)
(/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n)
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n)
(/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n)
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (/.f64 x (*.f64 n n))) #s(literal 1 binary64))) n)
(/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n)
(/.f64 (fma.f64 x (+.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x (/.f64 x (*.f64 n n))) #s(literal 1 binary64))) n)
(* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n))
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))
(/.f64 (-.f64 (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))) n)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))
(/.f64 (-.f64 (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) n) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) n)) (neg.f64 n))
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n))
(/.f64 (-.f64 (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x x) n) (*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) n)) (neg.f64 n))

eval203.0ms (0.8%)

Memory
17.4MiB live, 366.1MiB allocated
Compiler

Compiled 49 468 to 3 045 computations (93.8% saved)

prune153.0ms (0.6%)

Memory
-26.1MiB live, 351.0MiB allocated
Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New1 288171 305
Fresh156
Picked325
Done000
Total1 292241 316
Accuracy
99.8%
Counts
1 316 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.9%
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
25.5%
(fma.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
27.4%
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))))) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
37.8%
(/.f64 (fma.f64 (/.f64 (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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
27.4%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) (*.f64 x x)) (/.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n))) x)
▶29.3%
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
8.4%
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))) (*.f64 n n))
✓54.1%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
55.0%
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
▶57.5%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
54.1%
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
36.1%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
▶10.7%
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
31.5%
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) n) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
16.0%
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
31.2%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶24.3%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
55.7%
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
✓39.1%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
▶30.8%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
8.8%
(*.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))))
9.4%
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
16.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (*.f64 n n))))
29.6%
(neg.f64 (/.f64 (log.f64 x) n))
Compiler

Compiled 1 020 to 587 computations (42.5% saved)

simplify414.0ms (1.6%)

Memory
45.9MiB live, 622.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 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-diff192
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
✓cost-diff0
(log.f64 x)
✓cost-diff0
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x))
✓cost-diff0
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
✓cost-diff256
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓cost-diff320
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
✓cost-diff320
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
✓cost-diff384
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
✓cost-diff192
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓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)
Rules
15 852×lower-fma.f32
15 844×lower-fma.f64
2 734×lower-*.f32
2 732×lower-*.f64
2 408×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026150
052149
195147
2196147
3368144
4948144
52308138
65575138
08048133
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
x
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
n
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x))
x
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(log.f64 x)
(neg.f64 n)
n
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
#s(literal 1 binary64)
Outputs
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 x n) (fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(fma.f64 (/.f64 x n) (fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
#s(literal 1/2 binary64)
(*.f64 n n)
n
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) n)
#s(literal 1 binary64)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x))
x
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(log.f64 x)
(neg.f64 n)
n
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(expm1.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
#s(literal 1 binary64)

localize126.0ms (0.5%)

Memory
-43.8MiB live, 212.9MiB allocated
Localize:

Found 17 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))
✓accuracy99.9%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
✓accuracy100.0%
(neg.f64 n)
✓accuracy100.0%
(log.f64 x)
✓accuracy100.0%
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x))
✓accuracy99.9%
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
✓accuracy100.0%
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓accuracy96.7%
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
✓accuracy94.9%
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(log1p.f64 x)
✓accuracy100.0%
(log.f64 x)
✓accuracy99.9%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
✓accuracy99.8%
(-.f64 (log1p.f64 x) (log.f64 x))
Samples
81.0ms211×1exit
9.0ms45×0valid
Compiler

Compiled 178 to 32 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-div: 28.0ms (38.6% of total)
adjust: 16.0ms (22.1% of total)
ival-mult: 7.0ms (9.7% of total)
ival-add: 5.0ms (6.9% of total)
ival-sub: 5.0ms (6.9% of total)
ival-log: 3.0ms (4.1% of total)
ival-log1p: 3.0ms (4.1% of total)
ival-exp: 2.0ms (2.8% of total)
ival-expm1: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series32.0ms (0.1%)

Memory
17.0MiB live, 55.1MiB allocated
Counts
15 → 264
Calls
Call 1
Inputs
#<alt (-.f64 (log1p.f64 x) (log.f64 x))>
#<alt (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)>
#<alt (log.f64 x)>
#<alt (log1p.f64 x)>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))>
#<alt (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))>
#<alt (-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 n n))>
#<alt (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))>
#<alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x))>
#<alt (neg.f64 n)>
#<alt (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))>
#<alt (exp.f64 (/.f64 (log1p.f64 x) n))>
#<alt (/.f64 (log1p.f64 x) n)>
Outputs
#<alt (* -1 (log x))>
#<alt (- x (log x))>
#<alt (- (* x (+ 1 (* -1/2 x))) (log x))>
#<alt (- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))>
#<alt (* -1 (/ (log x) n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (/ 1 (* n x))>
#<alt (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)>
#<alt (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (/ (- (log (+ 1 x)) (log x)) n)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (/ 1 n)>
#<alt (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))>
#<alt (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))>
#<alt (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))>
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* -1 (* x (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x)))))>
#<alt (* -1 (* x (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x)))))>
#<alt (* -1 (* x (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x)))))>
#<alt (* 1/2 (/ x (pow n 2)))>
#<alt (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))>
#<alt (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))>
#<alt (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))>
#<alt (/ (+ 1 (* -1/2 x)) n)>
#<alt (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)>
#<alt (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)>
#<alt (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)>
#<alt (* -1 (/ (- (* 1/2 x) 1) n))>
#<alt (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))>
#<alt (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))>
#<alt (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (* 1/2 (/ (pow x 2) (pow n 2)))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2))>
#<alt 1>
#<alt (+ 1 (/ (* x (+ 1 (* -1/2 x))) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))>
#<alt (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))>
#<alt (/ x n)>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* 1/2 (/ (pow x 2) (pow n 2)))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (* x (+ 1 (* -1/2 x))) n)>
#<alt (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)>
#<alt (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)>
#<alt (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)>
#<alt (* -1 (/ (* x (- (* 1/2 x) 1)) n))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (/ 1/2 (pow n 2))>
#<alt (* -1 (/ (log x) n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))>
#<alt (* -1/2 (/ (pow x 2) n))>
#<alt (* (pow x 2) (- (/ 1 (* n x)) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (* -1/2 (/ (pow x 2) n))>
#<alt (* (pow x 2) (- (/ 1 (* n x)) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (/ 1 n)) x)) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (* -1 (/ (- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (/ 1 n)) x)) (* 1/2 (/ 1 n))))>
#<alt (* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))>
#<alt (log x)>
#<alt (+ (log x) (* -1 x))>
#<alt (+ (log x) (* x (- (* 1/2 x) 1)))>
#<alt (+ (log x) (* x (- (* 1/2 x) 1)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (log (/ 1 x)) (pow x 2)))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (* -1 (/ (log (/ 1 x)) (pow x 2)))) (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))) x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))) x))))>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (/ x n)>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (* x (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (- (exp (* -1 (/ (log (/ 1 x)) n))) 1)>
#<alt (- (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) 1)>
#<alt (- (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)))) 1)>
#<alt (- (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3))))) 1)>
#<alt (- (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1)>
#<alt (- (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))) 1)>
#<alt (- (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))) 1)>
#<alt (- (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))) 1)>
#<alt (- (exp (/ (log (+ 1 x)) n)) 1)>
#<alt (- (exp (/ (log (+ 1 x)) n)) 1)>
#<alt (- (exp (/ (log (+ 1 x)) n)) 1)>
#<alt (- (exp (/ (log (+ 1 x)) n)) 1)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (/ (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) n)>
#<alt (/ (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) n)>
#<alt (/ (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) n)>
#<alt (/ (log (+ 1 x)) n)>
#<alt (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))>
#<alt (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))>
#<alt (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/24 (/ (pow (log (+ 1 x)) 4) n))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))))>
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3)))))>
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))>
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt (exp (/ (log (+ 1 x)) n))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))))>
#<alt 1>
#<alt (+ 1 (/ (log (+ 1 x)) n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))>
#<alt (/ 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)>
Calls

66 calls:

TimeVariablePointExpression
13.0ms
n
@0
(/ (- (log (+ 1 x)) (log x)) n)
4.0ms
n
@inf
(/ (- (log (+ 1 x)) (log x)) n)
3.0ms
x
@0
(- (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) 1)
1.0ms
n
@0
(/ (+ (* x (+ (* x 1/2) -1)) (log x)) (neg n))
1.0ms
n
@inf
(/ (+ (* x (+ (* x 1/2) -1)) (log x)) (neg n))

rewrite377.0ms (1.5%)

Memory
26.6MiB live, 533.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 488×lower-fma.f32
5 480×lower-fma.f64
4 392×lower-/.f32
4 380×lower-/.f64
3 830×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026109
052108
1239106
22172106
08767101
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 574
Calls
Call 1
Inputs
(-.f64 (log1p.f64 x) (log.f64 x))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(log.f64 x)
(log1p.f64 x)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 n n))
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x))
(neg.f64 n)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
Outputs
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x))
(-.f64 (log1p.f64 x) (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (*.f64 x (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (log.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))) (log.f64 (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 x))
(neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 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) (/.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 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) (neg.f64 (/.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (neg.f64 (log.f64 x))))))
(/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (neg.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))) (neg.f64 (neg.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))))
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))
(*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n)))
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 n)))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n))
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) n))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (*.f64 n n)) (/.f64 (*.f64 n (log.f64 x)) (*.f64 n n)))
(-.f64 (/.f64 n (*.f64 (/.f64 n (log1p.f64 x)) n)) (/.f64 (*.f64 (/.f64 n (log1p.f64 x)) (log.f64 x)) (*.f64 (/.f64 n (log1p.f64 x)) n)))
(-.f64 (/.f64 (*.f64 (neg.f64 (log1p.f64 x)) n) (*.f64 n (neg.f64 n))) (/.f64 (*.f64 (neg.f64 n) (log.f64 x)) (*.f64 n (neg.f64 n))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))) (/.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (/.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))
(fma.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) n) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (log1p.f64 x) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (neg.f64 (log1p.f64 x)) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (log1p.f64 x) #s(literal -1 binary64)) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (/.f64 (log1p.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (log.f64 x) n)))
(fma.f64 (/.f64 (log1p.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n) (neg.f64 (/.f64 (log.f64 x) n)))
(neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))) (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))) (*.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))))))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))))))
(*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) n)))
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log1p.f64 x) (neg.f64 n))))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n))
(pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log1p.f64 x))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) n))
(pow.f64 (exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) n)))
(log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 n (log1p.f64 x))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (log1p.f64 x) n))
(+.f64 (/.f64 (log1p.f64 x) n) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 (log1p.f64 x) (neg.f64 n)))
(-.f64 (/.f64 (log1p.f64 (*.f64 x (*.f64 x x))) n) (/.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) n))
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) n) (/.f64 (log1p.f64 (neg.f64 x)) n))
(fma.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) n) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (log1p.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log1p.f64 x)) (/.f64 #s(literal -1 binary64) n) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (log1p.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n) #s(literal 0 binary64))
(fma.f64 (/.f64 (log1p.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n) #s(literal 0 binary64))
(fma.f64 (/.f64 (log1p.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n) #s(literal 0 binary64))
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 n)))
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(/.f64 #s(literal 1 binary64) (/.f64 n (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (log1p.f64 x)) #s(literal 1 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (log1p.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 n (log1p.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (log1p.f64 x)) (neg.f64 n))
(/.f64 (neg.f64 (neg.f64 (log1p.f64 x))) n)
(/.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) n)
(/.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)) (neg.f64 n))
(/.f64 (/.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)) n)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log1p.f64 x)))) (neg.f64 n))
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))) (neg.f64 n))
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64))) n)
(/.f64 (neg.f64 (/.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64))) (neg.f64 n))
(pow.f64 (/.f64 n (log1p.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n (log1p.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) n))
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(*.f64 (/.f64 #s(literal 1 binary64) n) (log1p.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (log1p.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 (log1p.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(*.f64 (/.f64 (log1p.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))

simplify511.0ms (2%)

Memory
5.4MiB live, 827.3MiB allocated
Algorithm
1×egg-herbie
Rules
18 816×lower-fma.f64
18 816×lower-fma.f32
5 932×lower-*.f64
5 932×lower-*.f32
4 550×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04153710
111783551
230973362
086533081
Stop Event
1×iter limit
1×node limit
Counts
264 → 263
Calls
Call 1
Inputs
(* -1 (log x))
(- x (log x))
(- (* x (+ 1 (* -1/2 x))) (log x))
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(/ 1 (* n x))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/ 1 (* n x))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(/ 1 n)
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(* -1 (* x (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x)))))
(* -1 (* x (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x)))))
(* -1 (* x (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x)))))
(* 1/2 (/ x (pow n 2)))
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))
(/ (+ 1 (* -1/2 x)) n)
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)
(* -1 (/ (- (* 1/2 x) 1) n))
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))
1
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(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))
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(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))
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(/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2))
(/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2))
1
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1
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(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* 1/2 (/ (pow x 2) (pow n 2)))
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(/ (+ (* 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)
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(* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(/ 1/2 (pow n 2))
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(* -1/2 (/ (pow x 2) n))
(* (pow x 2) (- (/ 1 (* n x)) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n (pow x 2)))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n (pow x 2)))) (* 1/2 (/ 1 n))))
(* -1/2 (/ (pow x 2) n))
(* (pow x 2) (- (/ 1 (* n x)) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (* -1 (/ (- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (/ 1 n)) x)) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (* -1 (/ (- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (/ 1 n)) x)) (* 1/2 (/ 1 n))))
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(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
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(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
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(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n))
(log x)
(+ (log x) (* -1 x))
(+ (log x) (* x (- (* 1/2 x) 1)))
(+ (log x) (* x (- (* 1/2 x) 1)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (log (/ 1 x)) (pow x 2)))) (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (* -1 (/ (log (/ 1 x)) (pow x 2)))) (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))) x))))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
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(* 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)))
(* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (* x (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(- (exp (* -1 (/ (log (/ 1 x)) n))) 1)
(- (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) 1)
(- (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)))) 1)
(- (+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3))))) 1)
(- (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1)
(- (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))) 1)
(- (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))) 1)
(- (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))) 1)
(- (exp (/ (log (+ 1 x)) n)) 1)
(- (exp (/ (log (+ 1 x)) n)) 1)
(- (exp (/ (log (+ 1 x)) n)) 1)
(- (exp (/ (log (+ 1 x)) n)) 1)
(/ (log (+ 1 x)) n)
(/ (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 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)))) n)
(/ (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) n)
(/ (log (+ 1 x)) n)
(* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))
(* -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 (log (+ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/24 (/ (pow (log (+ 1 x)) 4) n))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))
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)))
(/ x n)
(* x (+ (* -1/2 (/ x n)) (/ 1 n)))
(* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))
(* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(* -1 (/ (log (/ 1 x)) n))
(+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x)))
(- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2))))
(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2)))))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n)
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (/ 1 (* n x)) (/ (log -1) n)))
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) (/ (log -1) n)))
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) (/ (log -1) n)))
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
(/ (log (+ 1 x)) n)
Outputs
(* -1 (log x))
(neg.f64 (log.f64 x))
(- x (log x))
(-.f64 x (log.f64 x))
(- (* x (+ 1 (* -1/2 x))) (log x))
(-.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (log.f64 x))
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
(-.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) (log.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x))
(* -1 (/ (log x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(+ (* -1 (/ (log x) n)) (/ x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(-.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) n) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 x (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))
(/ 1 (* n x))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) n)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n))) x)
(/ 1 (* n x))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x n))))
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
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(/ (- (log (+ 1 x)) (log x)) n)
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(/ (- (log (+ 1 x)) (log x)) n)
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(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(/ (- (log (+ 1 x)) (log x)) n)
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
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(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (*.f64 x n)))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (/.f64 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) n)) x))
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)))
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) n) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))))) x))) x)) x))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp (/ (log (+ 1 x)) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (/.f64 (log1p.f64 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))))
(+.f64 (/.f64 (log1p.f64 x) n) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (/ (log (+ 1 x)) n))
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n))
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 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 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n)) n))
(/ x n)
(/.f64 x n)
(* x (+ (* -1/2 (/ x n)) (/ 1 n)))
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) n)
(* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))
(fma.f64 x (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) (/.f64 x n))
(* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n)))
(fma.f64 (*.f64 x x) (fma.f64 (/.f64 x n) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 x n))
(* -1 (/ (log (/ 1 x)) n))
(/.f64 (log.f64 x) n)
(+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x)))
(+.f64 (/.f64 (log.f64 x) n) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2))))
(+.f64 (/.f64 (log.f64 x) n) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2)))))
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x (*.f64 x x)) n)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n)
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n)
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (/ 1 (* n x)) (/ (log -1) n)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n))
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) (/ (log -1) n)))
(-.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) (/ (log -1) n)))
(+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) n))
(/ (log (+ 1 x)) n)
(/.f64 (log1p.f64 x) n)
(/ (log (+ 1 x)) n)
(/.f64 (log1p.f64 x) n)
(/ (log (+ 1 x)) n)
(/.f64 (log1p.f64 x) n)
(/ (log (+ 1 x)) n)
(/.f64 (log1p.f64 x) n)
(/ (log (+ 1 x)) n)
(/.f64 (log1p.f64 x) n)
(/ (log (+ 1 x)) n)
(/.f64 (log1p.f64 x) n)
(/ (log (+ 1 x)) n)
(/.f64 (log1p.f64 x) n)
(/ (log (+ 1 x)) n)
(/.f64 (log1p.f64 x) n)
(/ (log (+ 1 x)) n)
(/.f64 (log1p.f64 x) n)
(/ (log (+ 1 x)) n)
(/.f64 (log1p.f64 x) n)
(/ (log (+ 1 x)) n)
(/.f64 (log1p.f64 x) n)
(/ (log (+ 1 x)) n)
(/.f64 (log1p.f64 x) n)

eval126.0ms (0.5%)

Memory
-11.3MiB live, 308.8MiB allocated
Compiler

Compiled 23 665 to 2 270 computations (90.4% saved)

prune170.0ms (0.7%)

Memory
19.2MiB live, 336.5MiB allocated
Pruning

40 alts after pruning (38 fresh and 2 done)

PrunedKeptTotal
New84732879
Fresh11617
Picked505
Done022
Total86340903
Accuracy
100.0%
Counts
903 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.5%
(fma.f64 x (fma.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))) (/.f64 x n))
44.7%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
27.9%
(/.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 n) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
✓54.1%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
23.5%
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
23.3%
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))) x) n)
44.6%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
23.4%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
36.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
29.6%
(/.f64 (-.f64 x (log.f64 x)) n)
14.5%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) n) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) n) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) n) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) n)))))
40.7%
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
16.3%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)))) (neg.f64 n))
40.7%
(/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
▶6.1%
(/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))
8.4%
(/.f64 (*.f64 x (+.f64 n (*.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 n n))
10.3%
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
▶57.6%
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
29.6%
(/.f64 (neg.f64 (log.f64 x)) n)
57.6%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
54.8%
(/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) n)
54.1%
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
4.5%
(/.f64 x n)
▶57.5%
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
36.1%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
31.5%
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) n) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
9.3%
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
7.6%
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64))
31.2%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
7.7%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
▶8.8%
(-.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
55.7%
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
16.4%
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
✓39.1%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
29.3%
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))
10.0%
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) x)
40.7%
(*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) n))
14.8%
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
9.4%
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
▶30.8%
#s(literal 0 binary64)
Compiler

Compiled 1 318 to 761 computations (42.3% saved)

simplify598.0ms (2.4%)

Memory
-2.4MiB live, 231.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
✓cost-diff0
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
✓cost-diff0
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓cost-diff256
(-.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
✓cost-diff832
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))))
✓cost-diff1664
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
✓cost-diff0
(+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))
✓cost-diff0
(fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓cost-diff0
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
✓cost-diff128
(/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))
✓cost-diff0
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓cost-diff0
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓cost-diff0
(neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
✓cost-diff0
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
Rules
11 642×lower-fma.f32
11 638×lower-fma.f64
3 954×lower-*.f32
3 944×lower-*.f64
1 820×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034239
063226
1125226
2309212
3632210
41615208
56040206
08341203
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
n
#s(literal 0 binary64)
(/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
n
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(neg.f64 n)
(-.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))))
x
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
#s(literal 1 binary64)
(*.f64 x n)
n
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))
(/.f64 x n)
(+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
#s(literal 1 binary64)
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
n
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x #s(literal 1 binary64))
x
Outputs
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
n
#s(literal 0 binary64)
(/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))
(/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) x) n)
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
x
(fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64))
(/.f64 #s(literal -1/2 binary64) n)
#s(literal -1/2 binary64)
n
#s(literal 1/2 binary64)
#s(literal -1 binary64)
(neg.f64 n)
(-.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) x) n)
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))))
(fma.f64 (/.f64 x n) (fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) n))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
#s(literal 1 binary64)
(*.f64 x n)
n
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
(/.f64 x n)
(+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
#s(literal 1 binary64)
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
n
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x #s(literal 1 binary64))
x

localize326.0ms (1.3%)

Memory
-19.3MiB live, 120.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
✓accuracy99.6%
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
✓accuracy64.4%
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))
✓accuracy96.5%
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))))
✓accuracy95.2%
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓accuracy71.0%
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
✓accuracy69.5%
(-.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
✓accuracy100.0%
(neg.f64 n)
✓accuracy99.9%
(fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓accuracy99.9%
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
✓accuracy94.7%
(/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))
✓accuracy100.0%
(neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
✓accuracy100.0%
(/.f64 x (+.f64 x #s(literal 1 binary64)))
✓accuracy99.6%
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
✓accuracy64.4%
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
Samples
134.0ms111×2valid
57.0ms45×0valid
49.0ms100×1valid
Compiler

Compiled 247 to 38 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 206.0ms
ival-div: 86.0ms (41.7% of total)
ival-mult: 61.0ms (29.6% of total)
ival-log: 25.0ms (12.1% of total)
adjust: 17.0ms (8.2% of total)
ival-add: 12.0ms (5.8% of total)
ival-neg: 3.0ms (1.5% of total)
ival-sub: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series155.0ms (0.6%)

Memory
22.5MiB live, 57.9MiB allocated
Counts
16 → 312
Calls
Call 1
Inputs
#<alt (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))>
#<alt (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)>
#<alt (/.f64 x (+.f64 x #s(literal 1 binary64)))>
#<alt (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))>
#<alt (/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))>
#<alt (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64)))>
#<alt (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))>
#<alt (neg.f64 n)>
#<alt (-.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) #s(literal 1 binary64))>
#<alt (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))>
#<alt (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))))>
#<alt (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))>
#<alt (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))>
#<alt (/.f64 (+.f64 x #s(literal 1 binary64)) x)>
Outputs
#<alt (log x)>
#<alt (+ (log x) (* -1 x))>
#<alt (+ (log x) (* x (- (* 1/2 x) 1)))>
#<alt (+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))>
#<alt (/ -1 x)>
#<alt (/ (- (* 1/2 (/ 1 x)) 1) x)>
#<alt (/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x)>
#<alt (/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x))>
#<alt (* -1 (/ (log x) n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (/ 1 (* n x))>
#<alt (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)>
#<alt (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt (* -1 (/ (log (/ x (+ 1 x))) n))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- x 1))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))>
#<alt (* -1 (log x))>
#<alt (- x (log x))>
#<alt (- (* x (+ 1 (* -1/2 x))) (log x))>
#<alt (- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))>
#<alt (/ x n)>
#<alt (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))>
#<alt (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))>
#<alt (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))>
#<alt (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (/ 1 n)))) n))>
#<alt (* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))>
#<alt (* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (/ 1 n)))) n))>
#<alt (* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))>
#<alt (* 1/2 (/ (pow x 2) (pow n 2)))>
#<alt (/ (+ (* -1 (* n (* x (- (* 1/2 x) 1)))) (* 1/2 (pow x 2))) (pow n 2))>
#<alt (/ (+ (* -1 (* n (* x (- (* 1/2 x) 1)))) (* 1/2 (pow x 2))) (pow n 2))>
#<alt (/ (+ (* -1 (* n (* x (- (* 1/2 x) 1)))) (* 1/2 (pow x 2))) (pow n 2))>
#<alt (* -1 (/ (* x (- (* 1/2 x) 1)) n))>
#<alt (/ (+ (* -1 (* x (- (* 1/2 x) 1))) (* 1/2 (/ (pow x 2) n))) n)>
#<alt (/ (+ (* -1 (* x (- (* 1/2 x) 1))) (* 1/2 (/ (pow x 2) n))) n)>
#<alt (/ (+ (* -1 (* x (- (* 1/2 x) 1))) (* 1/2 (/ (pow x 2) n))) n)>
#<alt (* -1 (/ (* x (- (* 1/2 x) 1)) n))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 x)>
#<alt (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))>
#<alt (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))>
#<alt (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))>
#<alt (* (pow x 2) (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))>
#<alt (* (pow x 2) (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))>
#<alt (* (pow x 2) (- 1/2 (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))>
#<alt (* (pow x 2) (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))>
#<alt (* (pow x 2) (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))>
#<alt (* -1/2 (/ (pow x 2) n))>
#<alt (/ (+ (* -1/2 (pow x 2)) (* n (* x (- (* 1/2 x) 1)))) n)>
#<alt (/ (+ (* -1/2 (pow x 2)) (* n (* x (- (* 1/2 x) 1)))) n)>
#<alt (/ (+ (* -1/2 (pow x 2)) (* n (* x (- (* 1/2 x) 1)))) n)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1)))>
#<alt (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1)))>
#<alt (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1)))>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1)))>
#<alt (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1)))>
#<alt (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1)))>
#<alt -1>
#<alt (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)>
#<alt (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)>
#<alt (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)>
#<alt (* x (- 1/2 (* 1/2 (/ 1 n))))>
#<alt (* x (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))>
#<alt (* x (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))>
#<alt (* x (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))>
#<alt (* x (- 1/2 (* 1/2 (/ 1 n))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 x))))>
#<alt (* -1 (* x (+ (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 x))))>
#<alt (* -1/2 (/ x n))>
#<alt (/ (+ (* -1/2 x) (* n (- (* 1/2 x) 1))) n)>
#<alt (/ (+ (* -1/2 x) (* n (- (* 1/2 x) 1))) n)>
#<alt (/ (+ (* -1/2 x) (* n (- (* 1/2 x) 1))) n)>
#<alt (- (* 1/2 x) 1)>
#<alt (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1)>
#<alt (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1)>
#<alt (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1)>
#<alt (- (* 1/2 x) 1)>
#<alt (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1)>
#<alt (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1)>
#<alt (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (/ x n)>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* 1/2 (/ (pow x 2) (pow n 2)))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (* x (+ 1 (* -1/2 x))) n)>
#<alt (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)>
#<alt (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)>
#<alt (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)>
#<alt (* -1 (/ (* x (- (* 1/2 x) 1)) n))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))>
#<alt (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ x n)) x)>
#<alt (/ (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) x)>
#<alt (/ (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) x)>
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (/ (* x (- (* 1/2 (/ 1 n)) 1/2)) n)>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 n)) 1/2) n)) (/ 1 (* n x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (/ 1 n) (/ 1 x)) x)) (* -1 (/ (- (* 1/2 (/ 1 n)) 1/2) n)))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (/ 1 n) (/ 1 x)) x)) (* -1 (/ (- (* 1/2 (/ 1 n)) 1/2) n)))))>
#<alt (* 1/2 (/ x (pow n 2)))>
#<alt (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))>
#<alt (/ (+ (* 1/2 x) (* n (+ 1 (+ (* -1/2 x) (/ n x))))) (pow n 2))>
#<alt (/ (+ (* 1/2 x) (* n (+ 1 (+ (* -1/2 x) (/ n x))))) (pow n 2))>
#<alt (/ 1 x)>
#<alt (+ (* -1/2 (/ x n)) (+ (/ 1 n) (/ 1 x)))>
#<alt (+ (* -1/2 (/ x n)) (+ (* 1/2 (/ x (pow n 2))) (+ (/ 1 n) (/ 1 x))))>
#<alt (+ (* -1/2 (/ x n)) (+ (* 1/2 (/ x (pow n 2))) (+ (/ 1 n) (/ 1 x))))>
#<alt (/ 1 x)>
#<alt (+ (* -1 (/ (- (* 1/2 x) 1) n)) (/ 1 x))>
#<alt (+ (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n)) (/ 1 x))>
#<alt (+ (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n)) (/ 1 x))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (/ x n)) (pow x 2))>
#<alt (/ (+ 1 (/ x n)) (pow x 2))>
#<alt (/ (+ 1 (/ x n)) (pow x 2))>
#<alt (/ 1 (* n x))>
#<alt (/ (+ (/ 1 n) (/ 1 x)) x)>
#<alt (/ (+ (/ 1 n) (/ 1 x)) x)>
#<alt (/ (+ (/ 1 n) (/ 1 x)) x)>
#<alt (/ 1 (* n x))>
#<alt (/ (+ (/ 1 n) (/ 1 x)) x)>
#<alt (/ (+ (/ 1 n) (/ 1 x)) x)>
#<alt (/ (+ (/ 1 n) (/ 1 x)) x)>
#<alt (/ 1 (* n x))>
#<alt (/ (+ (/ 1 x) (/ n (pow x 2))) n)>
#<alt (/ (+ (/ 1 x) (/ n (pow x 2))) n)>
#<alt (/ (+ (/ 1 x) (/ n (pow x 2))) n)>
#<alt (/ 1 (pow x 2))>
#<alt (+ (/ 1 (* n x)) (/ 1 (pow x 2)))>
#<alt (+ (/ 1 (* n x)) (/ 1 (pow x 2)))>
#<alt (+ (/ 1 (* n x)) (/ 1 (pow x 2)))>
#<alt (/ 1 (pow x 2))>
#<alt (+ (/ 1 (* n x)) (/ 1 (pow x 2)))>
#<alt (+ (/ 1 (* n x)) (/ 1 (pow x 2)))>
#<alt (+ (/ 1 (* n x)) (/ 1 (pow x 2)))>
#<alt 1>
#<alt (+ 1 (/ x n))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (/ (* (pow x 2) (- (* 1/2 (/ 1 n)) 1/2)) n)>
#<alt (* (pow x 2) (- (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (/ 1/2 (pow n 2)) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (* (pow x 2) (- (+ (/ 1/2 (pow n 2)) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))>
#<alt (* 1/2 (/ (pow x 2) (pow n 2)))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2))>
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2))>
#<alt 1>
#<alt (+ 1 (/ (* x (+ 1 (* -1/2 x))) n))>
#<alt (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))>
#<alt (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))>
#<alt (* -1 (log x))>
#<alt (+ x (* -1 (log x)))>
#<alt (+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))>
#<alt (+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (/ (log (/ (+ 1 x) x)) n)>
#<alt (* -1 (/ (log x) n))>
#<alt (+ (* -1 (/ (log x) n)) (/ x n))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))>
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))>
#<alt (/ 1 (* n x))>
#<alt (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)>
#<alt (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)>
#<alt (/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)>
#<alt (/ 1 (* n x))>
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (/ n (log (/ (+ 1 x) x)))>
#<alt (* -1 (/ n (log x)))>
#<alt (+ (* -1 (/ n (log x))) (* -1 (/ (* n x) (pow (log x) 2))))>
#<alt (+ (* -1 (/ n (log x))) (* x (- (* -1 (* x (+ (* -1/2 (/ n (pow (log x) 2))) (/ n (pow (log x) 3))))) (/ n (pow (log x) 2)))))>
#<alt (+ (* -1 (/ n (log x))) (* x (- (* x (- (* -1 (* x (+ (* -1 (/ n (pow (log x) 3))) (+ (* 1/3 (/ n (pow (log x) 2))) (/ n (pow (log x) 4)))))) (+ (* -1/2 (/ n (pow (log x) 2))) (/ n (pow (log x) 3))))) (/ n (pow (log x) 2)))))>
#<alt (* n x)>
#<alt (* x (+ n (* 1/2 (/ n x))))>
#<alt (* x (- (+ n (* -1 (/ (+ (* -1/4 n) (* 1/3 n)) (pow x 2)))) (* -1/2 (/ n x))))>
#<alt (* x (- (+ n (* -1 (/ (+ (* -1/4 n) (+ (* 1/6 n) (* 1/2 (+ (* -1/4 n) (* 1/3 n))))) (pow x 3)))) (+ (* -1/2 (/ n x)) (+ (* -1/4 (/ n (pow x 2))) (* 1/3 (/ n (pow x 2)))))))>
#<alt (* n x)>
#<alt (* -1 (* x (+ (* -1 n) (* -1/2 (/ n x)))))>
#<alt (* -1 (* x (+ (* -1 n) (* -1 (/ (- (+ (* -1/3 (/ n x)) (* 1/4 (/ n x))) (* -1/2 n)) x)))))>
#<alt (* -1 (* x (+ (* -1 n) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/3 n) (* 1/4 n)) x)) (+ (* -1/4 (/ n x)) (* 1/6 (/ n x)))) (+ (* -1/3 n) (* 1/4 n))) x)) (* -1/2 n)) x)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt (/ (+ 1 x) x)>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt 1>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
#<alt (+ 1 (/ 1 x))>
Calls

78 calls:

TimeVariablePointExpression
105.0ms
n
@0
(/ 1 (/ n (log (/ (+ x 1) x))))
15.0ms
n
@0
(/ (neg (log (/ x (+ x 1)))) n)
5.0ms
n
@inf
(/ (neg (log (/ x (+ x 1)))) n)
5.0ms
n
@inf
(/ 1 (/ n (log (/ (+ x 1) x))))
2.0ms
x
@-inf
(/ n (log (/ (+ x 1) x)))

rewrite537.0ms (2.1%)

Memory
16.9MiB live, 286.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 080×lower-fma.f32
5 076×lower-fma.f64
4 068×lower-/.f32
4 046×lower-/.f64
3 782×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033172
062168
1285160
22532147
08327138
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 739
Calls
Call 1
Inputs
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(neg.f64 n)
(-.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))))
(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 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
Outputs
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (log.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x)))))
(+.f64 (neg.f64 (log1p.f64 x)) (log.f64 x))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 x)))) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(+.f64 (log.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log.f64 x) (log1p.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))))
(-.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(-.f64 (log.f64 (neg.f64 (neg.f64 x))) (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log1p.f64 x))))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log1p.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 x) (log.f64 x))
(neg.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(neg.f64 (log.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log.f64 x) (neg.f64 (log1p.f64 x))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))
(-.f64 (/.f64 #s(literal 0 binary64) n) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))
(-.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (log1p.f64 x) (neg.f64 n)))
(-.f64 (/.f64 (log.f64 (neg.f64 x)) (neg.f64 n)) (/.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) (neg.f64 n)))
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) n) (/.f64 (log.f64 (neg.f64 x)) n))
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) n))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n))
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) n)
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n)
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) n)
(/.f64 (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))) (neg.f64 n))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (neg.f64 n))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64))) (neg.f64 n))
(pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n))
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(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal -1 binary64))))

simplify474.0ms (1.9%)

Memory
7.5MiB live, 719.0MiB allocated
Algorithm
1×egg-herbie
Rules
15 930×lower-fma.f64
15 930×lower-fma.f32
5 058×lower-+.f64
5 058×lower-+.f32
4 676×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04063590
112183434
234263299
081143154
Stop Event
1×iter limit
1×node limit
Counts
312 → 311
Calls
Call 1
Inputs
(log x)
(+ (log x) (* -1 x))
(+ (log x) (* x (- (* 1/2 x) 1)))
(+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))
(/ -1 x)
(/ (- (* 1/2 (/ 1 x)) 1) x)
(/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x)
(/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) x)
(/ -1 x)
(* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x))
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(/ 1 (* n x))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/ 1 (* n x))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
(* -1 (/ (log (/ x (+ 1 x))) n))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(* -1 (log x))
(- x (log x))
(- (* x (+ 1 (* -1/2 x))) (log x))
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))
(/ x n)
(* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))
(* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))
(* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))
(* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (/ 1 n)))) n))
(* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))
(* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))
(* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))
(* -1 (/ (* (pow x 2) (- 1/2 (* 1/2 (/ 1 n)))) n))
(* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))
(* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))
(* (pow x 2) (+ (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) (/ 1 (* n x))))
(* 1/2 (/ (pow x 2) (pow n 2)))
(/ (+ (* -1 (* n (* x (- (* 1/2 x) 1)))) (* 1/2 (pow x 2))) (pow n 2))
(/ (+ (* -1 (* n (* x (- (* 1/2 x) 1)))) (* 1/2 (pow x 2))) (pow n 2))
(/ (+ (* -1 (* n (* x (- (* 1/2 x) 1)))) (* 1/2 (pow x 2))) (pow n 2))
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(/ (+ (* -1 (* x (- (* 1/2 x) 1))) (* 1/2 (/ (pow x 2) n))) n)
(/ (+ (* -1 (* x (- (* 1/2 x) 1))) (* 1/2 (/ (pow x 2) n))) n)
(/ (+ (* -1 (* x (- (* 1/2 x) 1))) (* 1/2 (/ (pow x 2) n))) n)
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(* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))
(* -1 x)
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(* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))
(* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 n))))
(* (pow x 2) (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))
(* (pow x 2) (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))
(* (pow x 2) (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))
(* (pow x 2) (- 1/2 (* 1/2 (/ 1 n))))
(* (pow x 2) (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))
(* (pow x 2) (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))
(* (pow x 2) (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))
(* -1/2 (/ (pow x 2) n))
(/ (+ (* -1/2 (pow x 2)) (* n (* x (- (* 1/2 x) 1)))) n)
(/ (+ (* -1/2 (pow x 2)) (* n (* x (- (* 1/2 x) 1)))) n)
(/ (+ (* -1/2 (pow x 2)) (* n (* x (- (* 1/2 x) 1)))) n)
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(+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1)))
(+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1)))
(+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1)))
-1
(- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)
(- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)
(- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)
(* x (- 1/2 (* 1/2 (/ 1 n))))
(* x (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))
(* x (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))
(* x (- 1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x))))
(* x (- 1/2 (* 1/2 (/ 1 n))))
(* -1 (* x (+ (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 x))))
(* -1 (* x (+ (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 x))))
(* -1 (* x (+ (* -1 (- 1/2 (* 1/2 (/ 1 n)))) (/ 1 x))))
(* -1/2 (/ x n))
(/ (+ (* -1/2 x) (* n (- (* 1/2 x) 1))) n)
(/ (+ (* -1/2 x) (* n (- (* 1/2 x) 1))) n)
(/ (+ (* -1/2 x) (* n (- (* 1/2 x) 1))) n)
(- (* 1/2 x) 1)
(- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1)
(- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1)
(- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1)
(- (* 1/2 x) 1)
(- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1)
(- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1)
(- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1)
(* -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 (pow n 2))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* 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)
(* -1 (/ (* x (- (* 1/2 x) 1)) n))
(* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))
(* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))
(/ 1 x)
(/ (+ 1 (/ x n)) x)
(/ (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) x)
(/ (+ 1 (* 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))))
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))
(/ (* x (- (* 1/2 (/ 1 n)) 1/2)) n)
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 n)) 1/2) n)) (/ 1 (* n x)))))
(* -1 (* x (+ (* -1 (/ (+ (/ 1 n) (/ 1 x)) x)) (* -1 (/ (- (* 1/2 (/ 1 n)) 1/2) n)))))
(* -1 (* x (+ (* -1 (/ (+ (/ 1 n) (/ 1 x)) x)) (* -1 (/ (- (* 1/2 (/ 1 n)) 1/2) n)))))
(* 1/2 (/ x (pow n 2)))
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))
(/ (+ (* 1/2 x) (* n (+ 1 (+ (* -1/2 x) (/ n x))))) (pow n 2))
(/ (+ (* 1/2 x) (* n (+ 1 (+ (* -1/2 x) (/ n x))))) (pow n 2))
(/ 1 x)
(+ (* -1/2 (/ x n)) (+ (/ 1 n) (/ 1 x)))
(+ (* -1/2 (/ x n)) (+ (* 1/2 (/ x (pow n 2))) (+ (/ 1 n) (/ 1 x))))
(+ (* -1/2 (/ x n)) (+ (* 1/2 (/ x (pow n 2))) (+ (/ 1 n) (/ 1 x))))
(/ 1 x)
(+ (* -1 (/ (- (* 1/2 x) 1) n)) (/ 1 x))
(+ (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n)) (/ 1 x))
(+ (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n)) (/ 1 x))
(/ 1 (pow x 2))
(/ (+ 1 (/ x n)) (pow x 2))
(/ (+ 1 (/ x n)) (pow x 2))
(/ (+ 1 (/ x n)) (pow x 2))
(/ 1 (* n x))
(/ (+ (/ 1 n) (/ 1 x)) x)
(/ (+ (/ 1 n) (/ 1 x)) x)
(/ (+ (/ 1 n) (/ 1 x)) x)
(/ 1 (* n x))
(/ (+ (/ 1 n) (/ 1 x)) x)
(/ (+ (/ 1 n) (/ 1 x)) x)
(/ (+ (/ 1 n) (/ 1 x)) x)
(/ 1 (* n x))
(/ (+ (/ 1 x) (/ n (pow x 2))) n)
(/ (+ (/ 1 x) (/ n (pow x 2))) n)
(/ (+ (/ 1 x) (/ n (pow x 2))) n)
(/ 1 (pow x 2))
(+ (/ 1 (* n x)) (/ 1 (pow x 2)))
(+ (/ 1 (* n x)) (/ 1 (pow x 2)))
(+ (/ 1 (* n x)) (/ 1 (pow x 2)))
(/ 1 (pow x 2))
(+ (/ 1 (* n x)) (/ 1 (pow x 2)))
(+ (/ 1 (* n x)) (/ 1 (pow x 2)))
(+ (/ 1 (* n x)) (/ 1 (pow x 2)))
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))) (* 1/2 (/ 1 n)))) (/ 1 n))))
(* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))
(/ (* (pow x 2) (- (* 1/2 (/ 1 n)) 1/2)) n)
(* (pow x 2) (- (+ (/ 1/2 (pow n 2)) (/ 1 (* n x))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (/ 1/2 (pow n 2)) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))
(* (pow x 2) (- (+ (/ 1/2 (pow n 2)) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))))
(* 1/2 (/ (pow x 2) (pow n 2)))
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))
(/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2))
(/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2))
1
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))
1
(+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)))
(* -1 (log x))
(+ x (* -1 (log x)))
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))
(/ 1 x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(* -1 (/ (log x) n))
(+ (* -1 (/ (log x) n)) (/ x n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(/ 1 (* n x))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/ 1 (* n x))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/ n (log (/ (+ 1 x) x)))
(/ n (log (/ (+ 1 x) x)))
(/ n (log (/ (+ 1 x) x)))
(/ n (log (/ (+ 1 x) x)))
(/ n (log (/ (+ 1 x) x)))
(/ n (log (/ (+ 1 x) x)))
(/ n (log (/ (+ 1 x) x)))
(/ n (log (/ (+ 1 x) x)))
(/ n (log (/ (+ 1 x) x)))
(/ n (log (/ (+ 1 x) x)))
(/ n (log (/ (+ 1 x) x)))
(/ n (log (/ (+ 1 x) x)))
(* -1 (/ n (log x)))
(+ (* -1 (/ n (log x))) (* -1 (/ (* n x) (pow (log x) 2))))
(+ (* -1 (/ n (log x))) (* x (- (* -1 (* x (+ (* -1/2 (/ n (pow (log x) 2))) (/ n (pow (log x) 3))))) (/ n (pow (log x) 2)))))
(+ (* -1 (/ n (log x))) (* x (- (* x (- (* -1 (* x (+ (* -1 (/ n (pow (log x) 3))) (+ (* 1/3 (/ n (pow (log x) 2))) (/ n (pow (log x) 4)))))) (+ (* -1/2 (/ n (pow (log x) 2))) (/ n (pow (log x) 3))))) (/ n (pow (log x) 2)))))
(* n x)
(* x (+ n (* 1/2 (/ n x))))
(* x (- (+ n (* -1 (/ (+ (* -1/4 n) (* 1/3 n)) (pow x 2)))) (* -1/2 (/ n x))))
(* x (- (+ n (* -1 (/ (+ (* -1/4 n) (+ (* 1/6 n) (* 1/2 (+ (* -1/4 n) (* 1/3 n))))) (pow x 3)))) (+ (* -1/2 (/ n x)) (+ (* -1/4 (/ n (pow x 2))) (* 1/3 (/ n (pow x 2)))))))
(* n x)
(* -1 (* x (+ (* -1 n) (* -1/2 (/ n x)))))
(* -1 (* x (+ (* -1 n) (* -1 (/ (- (+ (* -1/3 (/ n x)) (* 1/4 (/ n x))) (* -1/2 n)) x)))))
(* -1 (* x (+ (* -1 n) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/3 n) (* 1/4 n)) x)) (+ (* -1/4 (/ n x)) (* 1/6 (/ n x)))) (+ (* -1/3 n) (* 1/4 n))) x)) (* -1/2 n)) x)))))
(/ 1 x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
(/ (+ 1 x) x)
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
1
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
(+ 1 (/ 1 x))
Outputs
(log x)
(log.f64 x)
(+ (log x) (* -1 x))
(-.f64 (log.f64 x) x)
(+ (log x) (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x))
(+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/3 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (log.f64 x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/2 (/ 1 x)) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x)) x)
(/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) x))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))
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(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (-.f64 x (log.f64 x)))
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (log.f64 x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x)
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) x)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/ (log (/ (+ 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(* -1 (/ (log x) n))
(/.f64 (log.f64 x) (neg.f64 n))
(+ (* -1 (/ (log x) n)) (/ x n))
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))
(-.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) n) (/.f64 (log.f64 x) n))
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))
(fma.f64 x (fma.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (log.f64 x) (neg.f64 n)))
(/ 1 (* n x))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x n))))
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (*.f64 x n)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n))) x)
(/ 1 (* n x))
(/.f64 #s(literal 1 binary64) (*.f64 x n))
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal -1 binary64) (*.f64 x n)))
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))
(neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x n))))
(/ n (log (/ (+ 1 x) x)))
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/ n (log (/ (+ 1 x) x)))
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/ n (log (/ (+ 1 x) x)))
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/ n (log (/ (+ 1 x) x)))
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/ n (log (/ (+ 1 x) x)))
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/ n (log (/ (+ 1 x) x)))
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/ n (log (/ (+ 1 x) x)))
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/ n (log (/ (+ 1 x) x)))
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/ n (log (/ (+ 1 x) x)))
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/ n (log (/ (+ 1 x) x)))
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/ n (log (/ (+ 1 x) x)))
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/ n (log (/ (+ 1 x) x)))
(/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))
(* -1 (/ n (log x)))
(/.f64 n (neg.f64 (log.f64 x)))
(+ (* -1 (/ n (log x))) (* -1 (/ (* n x) (pow (log x) 2))))
(*.f64 (/.f64 n (log.f64 x)) (-.f64 #s(literal -1 binary64) (/.f64 x (log.f64 x))))
(+ (* -1 (/ n (log x))) (* x (- (* -1 (* x (+ (* -1/2 (/ n (pow (log x) 2))) (/ n (pow (log x) 3))))) (/ n (pow (log x) 2)))))
(fma.f64 x (*.f64 (neg.f64 x) (fma.f64 n (/.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (*.f64 (/.f64 n (log.f64 x)) (-.f64 #s(literal -1 binary64) (/.f64 x (log.f64 x)))))
(+ (* -1 (/ n (log x))) (* x (- (* x (- (* -1 (* x (+ (* -1 (/ n (pow (log x) 3))) (+ (* 1/3 (/ n (pow (log x) 2))) (/ n (pow (log x) 4)))))) (+ (* -1/2 (/ n (pow (log x) 2))) (/ n (pow (log x) 3))))) (/ n (pow (log x) 2)))))
(fma.f64 x (neg.f64 (*.f64 (fma.f64 x (fma.f64 (/.f64 n (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 1/3 binary64)) (/.f64 n (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (fma.f64 n (/.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 n (pow.f64 (log.f64 x) #s(literal 3 binary64))))) x)) (*.f64 (/.f64 n (log.f64 x)) (-.f64 #s(literal -1 binary64) (/.f64 x (log.f64 x)))))
(* n x)
(*.f64 x n)
(* x (+ n (* 1/2 (/ n x))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))
(* x (- (+ n (* -1 (/ (+ (* -1/4 n) (* 1/3 n)) (pow x 2)))) (* -1/2 (/ n x))))
(*.f64 x (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n))
(* x (- (+ n (* -1 (/ (+ (* -1/4 n) (+ (* 1/6 n) (* 1/2 (+ (* -1/4 n) (* 1/3 n))))) (pow x 3)))) (+ (* -1/2 (/ n x)) (+ (* -1/4 (/ n (pow x 2))) (* 1/3 (/ n (pow x 2)))))))
(*.f64 x (-.f64 (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 (*.f64 n #s(literal -1/24 binary64)) (*.f64 x (*.f64 x x)))))
(* n x)
(*.f64 x n)
(* -1 (* x (+ (* -1 n) (* -1/2 (/ n x)))))
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))
(* -1 (* x (+ (* -1 n) (* -1 (/ (- (+ (* -1/3 (/ n x)) (* 1/4 (/ n x))) (* -1/2 n)) x)))))
(*.f64 x (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n))
(* -1 (* x (+ (* -1 n) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/3 n) (* 1/4 n)) x)) (+ (* -1/4 (/ n x)) (* 1/6 (/ n x)))) (+ (* -1/3 n) (* 1/4 n))) x)) (* -1/2 n)) x)))))
(*.f64 x (+.f64 n (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 n x) #s(literal -1/12 binary64)) (*.f64 n #s(literal 1/12 binary64))) x)) x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 x) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(/ (+ 1 x) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
(/ (+ 1 x) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+ 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))

eval141.0ms (0.6%)

Memory
-19.5MiB live, 288.7MiB allocated
Compiler

Compiled 23 761 to 2 894 computations (87.8% saved)

prune154.0ms (0.6%)

Memory
28.2MiB live, 430.0MiB allocated
Pruning

48 alts after pruning (44 fresh and 4 done)

PrunedKeptTotal
New1 029211 050
Fresh102333
Picked325
Done022
Total1 042481 090
Accuracy
100.0%
Counts
1 090 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.8%
(fma.f64 (+.f64 (fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) x #s(literal -1 binary64))
10.5%
(fma.f64 x (fma.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))) (/.f64 x n))
43.2%
(pow.f64 (pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
44.7%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)
6.1%
(/.f64 (fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) x) n)
✓54.1%
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
23.3%
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))) x) n)
23.5%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) x) n)
44.6%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
6.0%
(/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n))
36.7%
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
57.5%
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
29.6%
(/.f64 (-.f64 x (log.f64 x)) n)
16.3%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)))) (neg.f64 n))
40.7%
(/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
10.3%
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
✓57.6%
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
29.6%
(/.f64 (neg.f64 (log.f64 x)) n)
57.6%
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
54.8%
(/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) n)
54.1%
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
4.5%
(/.f64 x n)
36.1%
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
6.1%
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
29.5%
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x))))
57.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
24.3%
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n)))
26.8%
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
23.6%
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 (*.f64 n #s(literal -1/24 binary64)) (*.f64 x (*.f64 x x))))))
36.1%
(/.f64 #s(literal 1 binary64) (*.f64 x n))
57.5%
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
31.5%
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) n) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
9.3%
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
7.6%
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64))
31.2%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
7.7%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) #s(literal 1 binary64))
8.5%
(-.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 x x (*.f64 x n)) (*.f64 (*.f64 x n) x)) (/.f64 x x) (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
11.2%
(-.f64 (*.f64 x (fma.f64 (/.f64 (+.f64 n x) (*.f64 (*.f64 x x) n)) x (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
7.8%
(-.f64 (*.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) (/.f64 n x)) n)) (*.f64 n n))) #s(literal 1 binary64))
27.9%
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
55.7%
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
16.4%
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
✓39.1%
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
29.3%
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))
40.7%
(*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) n))
8.5%
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
14.8%
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
✓30.8%
#s(literal 0 binary64)
Compiler

Compiled 2 148 to 797 computations (62.9% saved)

regimes97.0ms (0.4%)

Memory
-8.0MiB live, 197.6MiB allocated
Counts
82 → 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) (/.f64 x n)) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (*.f64 n n))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 (*.f64 x (+.f64 n (*.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) x) n)
(/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) x)
(-.f64 (*.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) (/.f64 n x)) n)) (*.f64 n n))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(fma.f64 (+.f64 (fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) x #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) x) n)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(-.f64 (*.f64 x (fma.f64 (/.f64 (+.f64 n x) (*.f64 (*.f64 x x) n)) x (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))) x) n)
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 (*.f64 n #s(literal -1/24 binary64)) (*.f64 x (*.f64 x x))))))
(-.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 x x (*.f64 x n)) (*.f64 (*.f64 x n) x)) (/.f64 x x) (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n))
(fma.f64 x (fma.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.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)))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(fma.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) n) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)))) (neg.f64 n))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 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)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(pow.f64 (pow.f64 (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (fma.f64 (/.f64 (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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) n))
(/.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 n) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) (*.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))))
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n))))) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) n) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) n) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) n) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) n)))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) (*.f64 x x)) (/.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)) (/.f64 #s(literal -1/4 binary64) (*.f64 n (*.f64 n n)))) (*.f64 x (*.f64 x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n))) x)
Outputs
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.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

4 calls:

25.0ms
(/.f64 #s(literal 1 binary64) n)
23.0ms
x
23.0ms
n
21.0ms
(-.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
76.9%3x
90.0%3n
89.3%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)))
90.0%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes59.0ms (0.2%)

Memory
-11.9MiB live, 106.4MiB allocated
Counts
67 → 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) (/.f64 x n)) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (*.f64 n n))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 (*.f64 x (+.f64 n (*.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) x) n)
(/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) x)
(-.f64 (*.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) (/.f64 n x)) n)) (*.f64 n n))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(fma.f64 (+.f64 (fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) x #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) x) n)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(-.f64 (*.f64 x (fma.f64 (/.f64 (+.f64 n x) (*.f64 (*.f64 x x) n)) x (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))) x) n)
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 (*.f64 n #s(literal -1/24 binary64)) (*.f64 x (*.f64 x x))))))
(-.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 x x (*.f64 x n)) (*.f64 (*.f64 x n) x)) (/.f64 x x) (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n))
(fma.f64 x (fma.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.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)))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(fma.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) n) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 x) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)))) (neg.f64 n))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
Outputs
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) n) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

3 calls:

20.0ms
n
20.0ms
(/.f64 #s(literal 1 binary64) n)
16.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
85.3%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
86.1%4n
86.1%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes53.0ms (0.2%)

Memory
3.8MiB live, 80.2MiB allocated
Counts
62 → 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) (/.f64 x n)) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (*.f64 n n))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 (*.f64 x (+.f64 n (*.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) x) n)
(/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) x)
(-.f64 (*.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) (/.f64 n x)) n)) (*.f64 n n))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(fma.f64 (+.f64 (fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) x #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) x) n)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(-.f64 (*.f64 x (fma.f64 (/.f64 (+.f64 n x) (*.f64 (*.f64 x x) n)) x (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))) x) n)
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 (*.f64 n #s(literal -1/24 binary64)) (*.f64 x (*.f64 x x))))))
(-.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 x x (*.f64 x n)) (*.f64 (*.f64 x n) x)) (/.f64 x x) (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n))
(fma.f64 x (fma.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.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)))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)))
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))
(fma.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))
Outputs
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.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

3 calls:

18.0ms
(/.f64 #s(literal 1 binary64) n)
18.0ms
n
14.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
85.2%5n
81.6%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
85.2%4(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes21.0ms (0.1%)

Memory
-16.7MiB live, 24.3MiB allocated
Counts
54 → 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) (/.f64 x n)) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (*.f64 n n))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 (*.f64 x (+.f64 n (*.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) x) n)
(/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) x)
(-.f64 (*.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) (/.f64 n x)) n)) (*.f64 n n))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(fma.f64 (+.f64 (fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) x #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) x) n)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(-.f64 (*.f64 x (fma.f64 (/.f64 (+.f64 n x) (*.f64 (*.f64 x x) n)) x (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))) x) n)
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 (*.f64 n #s(literal -1/24 binary64)) (*.f64 x (*.f64 x x))))))
(-.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 x x (*.f64 x n)) (*.f64 (*.f64 x n) x)) (/.f64 x x) (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n))
(fma.f64 x (fma.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.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)))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
Outputs
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))
(/.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)

regimes48.0ms (0.2%)

Memory
20.5MiB live, 57.2MiB allocated
Counts
53 → 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) (/.f64 x n)) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (*.f64 n n))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 (*.f64 x (+.f64 n (*.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) x) n)
(/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) x)
(-.f64 (*.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) (/.f64 n x)) n)) (*.f64 n n))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(fma.f64 (+.f64 (fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) x #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) x) n)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(-.f64 (*.f64 x (fma.f64 (/.f64 (+.f64 n x) (*.f64 (*.f64 x x) n)) x (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))) x) n)
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 (*.f64 n #s(literal -1/24 binary64)) (*.f64 x (*.f64 x x))))))
(-.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 x x (*.f64 x n)) (*.f64 (*.f64 x n) x)) (/.f64 x x) (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n))
(fma.f64 x (fma.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.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)))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n)
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n))
Outputs
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.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)))
Calls

3 calls:

16.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
15.0ms
(/.f64 #s(literal 1 binary64) n)
15.0ms
n
Results
AccuracySegmentsBranch
80.2%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)))
71.9%4n
70.6%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes17.0ms (0.1%)

Memory
-15.4MiB live, 22.3MiB allocated
Counts
51 → 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) (/.f64 x n)) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (*.f64 n n))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 (*.f64 x (+.f64 n (*.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) x) n)
(/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) x)
(-.f64 (*.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) (/.f64 n x)) n)) (*.f64 n n))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(fma.f64 (+.f64 (fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) x #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) x) n)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(-.f64 (*.f64 x (fma.f64 (/.f64 (+.f64 n x) (*.f64 (*.f64 x x) n)) x (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))) x) n)
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 (*.f64 n #s(literal -1/24 binary64)) (*.f64 x (*.f64 x x))))))
(-.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 x x (*.f64 x n)) (*.f64 (*.f64 x n) x)) (/.f64 x x) (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n))
(fma.f64 x (fma.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.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)))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x))))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n))
Outputs
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n)
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Calls

1 calls:

11.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
80.2%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)))
Compiler

Compiled 15 to 8 computations (46.7% saved)

regimes58.0ms (0.2%)

Memory
23.0MiB live, 105.7MiB allocated
Counts
49 → 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) (/.f64 x n)) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (*.f64 n n))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 (*.f64 x (+.f64 n (*.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) x) n)
(/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) x)
(-.f64 (*.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) (/.f64 n x)) n)) (*.f64 n n))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(fma.f64 (+.f64 (fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) x #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) x) n)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(-.f64 (*.f64 x (fma.f64 (/.f64 (+.f64 n x) (*.f64 (*.f64 x x) n)) x (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))) x) n)
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 (*.f64 n #s(literal -1/24 binary64)) (*.f64 x (*.f64 x x))))))
(-.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 x x (*.f64 x n)) (*.f64 (*.f64 x n) x)) (/.f64 x x) (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n))
(fma.f64 x (fma.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.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)))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x))))
Outputs
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (-.f64 x (log.f64 x)) n)
#s(literal 0 binary64)
Calls

4 calls:

16.0ms
n
15.0ms
x
14.0ms
(/.f64 #s(literal 1 binary64) n)
11.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
Results
AccuracySegmentsBranch
62.0%6n
62.1%6(/.f64 #s(literal 1 binary64) n)
66.6%5x
54.7%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)))
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes16.0ms (0.1%)

Memory
-7.7MiB live, 30.8MiB allocated
Counts
45 → 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) (/.f64 x n)) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (*.f64 n n))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 (*.f64 x (+.f64 n (*.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) x) n)
(/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) x)
(-.f64 (*.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) (/.f64 n x)) n)) (*.f64 n n))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(fma.f64 (+.f64 (fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) x #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) x) n)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(-.f64 (*.f64 x (fma.f64 (/.f64 (+.f64 n x) (*.f64 (*.f64 x x) n)) x (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))) x) n)
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 (*.f64 n #s(literal -1/24 binary64)) (*.f64 x (*.f64 x x))))))
(-.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 x x (*.f64 x n)) (*.f64 (*.f64 x n) x)) (/.f64 x x) (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n))
(fma.f64 x (fma.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
(/.f64 (-.f64 x (log.f64 x)) n)
Outputs
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (-.f64 x (log.f64 x)) n)
#s(literal 0 binary64)
Calls

1 calls:

14.0ms
x
Results
AccuracySegmentsBranch
62.1%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory
19.7MiB live, 19.7MiB allocated
Counts
44 → 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) (/.f64 x n)) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (*.f64 n n))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 (*.f64 x (+.f64 n (*.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) x) n)
(/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) x)
(-.f64 (*.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) (/.f64 n x)) n)) (*.f64 n n))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(fma.f64 (+.f64 (fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) x #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) x) n)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(-.f64 (*.f64 x (fma.f64 (/.f64 (+.f64 n x) (*.f64 (*.f64 x x) n)) x (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))) x) n)
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 (*.f64 n #s(literal -1/24 binary64)) (*.f64 x (*.f64 x x))))))
(-.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 x x (*.f64 x n)) (*.f64 (*.f64 x n) x)) (/.f64 x x) (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n))
(fma.f64 x (fma.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))) (/.f64 x n))
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 (exp.f64 (/.f64 x n)) #s(literal 1 binary64))
Outputs
(neg.f64 (/.f64 (log.f64 x) n))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(neg.f64 (/.f64 (log.f64 x) n))
#s(literal 0 binary64)
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
61.8%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes49.0ms (0.2%)

Memory
-17.6MiB live, 58.4MiB allocated
Counts
41 → 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) (/.f64 x n)) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (*.f64 n n))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 (*.f64 x (+.f64 n (*.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) x) n)
(/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) x)
(-.f64 (*.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) (/.f64 n x)) n)) (*.f64 n n))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x)
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(fma.f64 (+.f64 (fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) x #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x)) x)) x) n)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) n)
(-.f64 (*.f64 x (fma.f64 (/.f64 (+.f64 n x) (*.f64 (*.f64 x x) n)) x (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x x)))) x) n)
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n) (/.f64 (*.f64 n #s(literal -1/24 binary64)) (*.f64 x (*.f64 x x))))))
(-.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (*.f64 x (fma.f64 (/.f64 (fma.f64 x x (*.f64 x n)) (*.f64 (*.f64 x n) x)) (/.f64 x x) (*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))) #s(literal 1 binary64))
(/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 n))
(fma.f64 x (fma.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))) (/.f64 x n))
Outputs
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x)
#s(literal 0 binary64)
Calls

4 calls:

13.0ms
n
13.0ms
x
12.0ms
(/.f64 #s(literal 1 binary64) n)
9.0ms
(-.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
50.9%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
49.8%3n
49.8%3(/.f64 #s(literal 1 binary64) n)
50.4%2x
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes10.0ms (0%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
28 → 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) (/.f64 x n)) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (*.f64 n n))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 (*.f64 x (+.f64 n (*.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) x) n)
(/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
(/.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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/2 binary64)) x)) x) n)
(*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) x)
(-.f64 (*.f64 x (/.f64 (fma.f64 x #s(literal 1/2 binary64) (fma.f64 n (fma.f64 x #s(literal -1/2 binary64) (/.f64 n x)) n)) (*.f64 n n))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n)
#s(literal 0 binary64)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
50.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes46.0ms (0.2%)

Memory
-6.4MiB live, 37.5MiB allocated
Counts
23 → 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) (/.f64 x n)) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (*.f64 n n))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 (*.f64 x (+.f64 n (*.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) x) n)
(/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) n))))
(-.f64 (fma.f64 x (/.f64 (fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (*.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x))) (*.f64 n n))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (/.f64 n x) (+.f64 (/.f64 #s(literal -1/12 binary64) x) #s(literal 1/2 binary64)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))))))
Outputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))
Calls

4 calls:

24.0ms
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
7.0ms
n
7.0ms
x
7.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
47.9%3(/.f64 #s(literal 1 binary64) n)
46.7%3n
44.0%3(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))
42.6%2x
Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes6.0ms (0%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
17 → 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) (/.f64 x n)) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (*.f64 n n))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(/.f64 (*.f64 x (+.f64 n (*.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 n n))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) n)
(/.f64 (fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) x) n)
(/.f64 (*.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 n))
Outputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (*.f64 n n))))
Calls

1 calls:

6.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
47.5%3(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0%)

Memory
-31.8MiB live, 6.5MiB allocated
Counts
10 → 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) (/.f64 x n)) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
(*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (*.f64 n n))))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) #s(literal 1 binary64))
Outputs
#s(literal 0 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) n)
Calls

1 calls:

5.0ms
(/.f64 #s(literal 1 binary64) n)
Results
AccuracySegmentsBranch
45.6%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
6 → 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) (/.f64 x n)) #s(literal 1 binary64))
(-.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
Outputs
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x n))
Calls

2 calls:

3.0ms
(/.f64 #s(literal 1 binary64) n)
3.0ms
n
Results
AccuracySegmentsBranch
45.7%3n
45.0%2(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0%)

Memory
12.6MiB live, 12.6MiB allocated
Accuracy

Total -17.6b remaining (-39.7%)

Threshold costs -17.6b (-39.7%)

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

4 calls:

2.0ms
(/.f64 #s(literal 1 binary64) n)
2.0ms
n
2.0ms
x
1.0ms
(-.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
30.8%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)))
30.8%1x
30.8%1n
30.8%1(/.f64 #s(literal 1 binary64) n)
Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.017767433529145584
150077487857299.47
0.0ms
-233513.63822895664
-1.5029811313927296e-26
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.017767433529145584
150077487857299.47
0.0ms
-233513.63822895664
-1.5029811313927296e-26
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
5.017530385511609e+195
4.77490433108643e+205
0.0ms
0.017767433529145584
150077487857299.47
0.0ms
-233513.63822895664
-1.5029811313927296e-26
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.168712455468474e+190
1.4302451121349497e+191
0.0ms
0.017767433529145584
150077487857299.47
0.0ms
-233513.63822895664
-1.5029811313927296e-26
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0
0.0ms
-inf
0.0
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.0
0.0ms
-inf
0.0
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch120.0ms (0.5%)

Memory
-2.5MiB live, 112.4MiB allocated
Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.3388314612245794
1.0396085353324114
26.0ms
2.0785737736339982e-65
6.000759031789031e-64
34.0ms
6.802825628549941e-129
4.679267636097165e-126
35.0ms
7.669737176976773e-154
3.207432781685751e-151
Samples
43.0ms199×1valid
34.0ms84×2valid
19.0ms165×0valid
0.0ms1×1exit
Compiler

Compiled 639 to 452 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-pow: 59.0ms (71.9% of total)
adjust: 9.0ms (11% of total)
ival-div: 6.0ms (7.3% of total)
ival-add: 4.0ms (4.9% of total)
ival-sub: 4.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.3388314612245794
1.0396085353324114
1.0ms
2.0785737736339982e-65
6.000759031789031e-64
1.0ms
6.802825628549941e-129
4.679267636097165e-126
Compiler

Compiled 495 to 348 computations (29.7% saved)

bsearch2.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.3388314612245794
1.0396085353324114
1.0ms
2.0785737736339982e-65
6.000759031789031e-64
1.0ms
6.802825628549941e-129
4.679267636097165e-126
Compiler

Compiled 483 to 348 computations (28% saved)

bsearch39.0ms (0.2%)

Memory
0.0MiB live, 37.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
7978.164417054525
10166704971.066916
Samples
15.0ms37×2valid
8.0ms48×1valid
4.0ms59×0valid
2.0ms26×0exit
Compiler

Compiled 225 to 166 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-pow: 17.0ms (68.9% of total)
adjust: 3.0ms (12.2% of total)
ival-div: 2.0ms (8.1% of total)
ival-add: 1.0ms (4.1% of total)
ival-sub: 1.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
7978.164417054525
10166704971.066916
Compiler

Compiled 198 to 157 computations (20.7% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
7.801971344718459e+145
5.920139574140825e+151
0.0ms
-45500598751333630.0
-233513.63822895664
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
7.801971344718459e+145
5.920139574140825e+151
0.0ms
-45500598751333630.0
-233513.63822895664
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-45500598751333630.0
-233513.63822895664
Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-45500598751333630.0
-233513.63822895664
Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify16.0ms (0.1%)

Memory
-21.2MiB live, 16.6MiB allocated
Algorithm
1×egg-herbie
Rules
52×unsub-neg_binary64
40×+-commutative_binary64
40×neg-mul-1_binary64
28×sub-neg_binary64
26×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116563
1149563
2171563
3186563
4217563
5268563
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -200000 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/288230376151711744 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 -200000 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (-.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) n) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -200000 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/288230376151711744 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 9999999999999999511432924639235132053389160461186216699466583890573511723749959183278387889172340228095875448767138256706948253250552493092635735926276453993770366538373425000777236538229086224384 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 -200000 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/288230376151711744 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 20000000000000001451183431946375567220606848575622745649136687967944203449841378148904136363486483903481251953737351442322669506327274827542980731560078643584425249036505384641606421990866944 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -inf.0 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.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))) #s(literal 0 binary64)) (/.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)))))
(if (<=.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))) #s(literal -inf.0 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.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))) #s(literal 0 binary64)) (/.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)))))
(if (<=.f64 x #s(literal 6132688940335005/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 2896153440234563/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 6995694863361695/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) #s(literal 0 binary64)))))
(if (<=.f64 x #s(literal 2896153440234563/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 6995694863361695/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 2896153440234563/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 6995694863361695/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) (if (<=.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 53000000 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 53000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) #s(literal 0 binary64))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40000000000000000 binary64)) #s(literal 0 binary64) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40000000000000000 binary64)) #s(literal 0 binary64) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (*.f64 n n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40000000000000000 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40000000000000000 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
#s(literal 0 binary64)
Outputs
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -200000 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/288230376151711744 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 -200000 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 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 -200000 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (-.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) n) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -200000 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (-.f64 (fma.f64 x (/.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) n) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -200000 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/288230376151711744 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 9999999999999999511432924639235132053389160461186216699466583890573511723749959183278387889172340228095875448767138256706948253250552493092635735926276453993770366538373425000777236538229086224384 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 -200000 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 9999999999999999511432924639235132053389160461186216699466583890573511723749959183278387889172340228095875448767138256706948253250552493092635735926276453993770366538373425000777236538229086224384 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 -200000 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/288230376151711744 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 20000000000000001451183431946375567220606848575622745649136687967944203449841378148904136363486483903481251953737351442322669506327274827542980731560078643584425249036505384641606421990866944 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 -200000 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 n x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/288230376151711744 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 20000000000000001451183431946375567220606848575622745649136687967944203449841378148904136363486483903481251953737351442322669506327274827542980731560078643584425249036505384641606421990866944 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -inf.0 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.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))) #s(literal 0 binary64)) (/.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)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -inf.0 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 0 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.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))) #s(literal -inf.0 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.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))) #s(literal 0 binary64)) (/.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)))))
(if (<=.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -inf.0 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 0 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))
(if (<=.f64 x #s(literal 6132688940335005/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 2896153440234563/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 6995694863361695/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) #s(literal 0 binary64)))))
(if (<=.f64 x #s(literal 6132688940335005/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 2896153440234563/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 6995694863361695/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) #s(literal 0 binary64)))))
(if (<=.f64 x #s(literal 2896153440234563/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 6995694863361695/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 2896153440234563/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 6995694863361695/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 2896153440234563/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 6995694863361695/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) (if (<=.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 2896153440234563/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 6995694863361695/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) (if (<=.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 53000000 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 53000000 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 0 binary64))
(if (<=.f64 x #s(literal 53000000 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) #s(literal 0 binary64))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40000000000000000 binary64)) #s(literal 0 binary64) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40000000000000000 binary64)) #s(literal 0 binary64) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (*.f64 n n))))))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40000000000000000 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40000000000000000 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n)))
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -40000000000000000 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n x)))
#s(literal 0 binary64)

soundness1.9s (7.6%)

Memory
-40.6MiB live, 1 230.6MiB allocated
Rules
18 816×lower-fma.f64
18 816×lower-fma.f32
15 930×lower-fma.f64
15 930×lower-fma.f32
13 074×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04063590
112183434
234263299
081143154
04153710
111783551
230973362
086533081
02631678
17611542
221161468
374661462
087471344
06345333
118825057
253404984
087954666
0828
01328
16328
240728
3433528
0843324
026109
052108
1239106
22172106
08767101
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter 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 1 333 to 651 computations (51.2% saved)

preprocess111.0ms (0.4%)

Memory
-10.8MiB live, 184.7MiB allocated
Compiler

Compiled 1 160 to 250 computations (78.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...